# a. In the statement "Height is a function of weight," which is the independent variable and which is the dependent variable?

Size: px
Start display at page:

Download "a. In the statement "Height is a function of weight," which is the independent variable and which is the dependent variable?"

Transcription

1 1. The weights and heights of si mathematics students are given in the table. Answer parts a through e. Weight (lb.) Height (cm) a. In the statement "Height is a function of weight," which is the independent variable and which is the dependent variable? A. The independent variable is weight and the dependent variable is height. B. The independent variable is height and the dependent variable is weight. b. Is height a function of weight for the si students? Eplain using the definition of function. A. No, because there is a value in the height column for which there are two different values assigned in the weight column. B. Yes, because for each value in the height column, there is one and onl one value assigned in the weight column. C. No, because there is a value in the weight column for which there are two different values assigned in the height column. D. Yes, because for each value in the weight column, there is one and onl one value assigned in the height column. c. In the statement "Weight is a function of height," which is the independent variable and which is the dependent variable? A. The independent variable is height and the dependent variable is weight. B. The independent variable is weight and the dependent variable is height. d. Is weight a function of height for the si students? Eplain using the definition of function. A. No, because there is a value in the height column for which there are two different values assigned in the weight column. B. Yes, because for each value in the height column, there is one and onl one value assigned in the weight column. C. Yes, because for each value in the weight column, there is one and onl one value assigned in the height column. D. No, because there is a value in the weight column for which there are two different values assigned in the height column. e. In general, is weight a function of height? Eplain. A. Yes, because persons with different weights must have different heights. B. Yes, because persons with different heights must have different weights. C. No, because there can be persons with the same weight and different heights. D. No, because there can be persons with the same height and different weights. ID: 3.1.1

2 . Does the table describe as a function of? Does the table describe as a function of? Yes No ID: 3.1.a 3. Determine whether S, given b the table below, defines a function Does the table describe the relation S as a function? No Yes ID: 3.1.b

3 . Determine whether the relation represents a function. State the domain and the range of the relation. First names John Katie Kia Marsha Jan Last names Doe Smith Hill Brad Does the relation represent a function? Yes No Select the list that represents the elements of the domain. A. { Marsha, Jan, Brad} B. { John, Katie, Kia, Doe, Smith, Hill} C. { Doe, Smith, Hill, Brad} D. { John, Katie, Kia, Marsha, Jan} Select the list that represents the elements of the range. A. { Doe, Smith, Hill, John, Katie, Kia} B. { Doe, Smith, Hill, Brad} C. { Brad, Marsha, Jan} D. { John, Katie, Kia, Marsha, Jan} ID: 3.1.3a

4 5. Determine whether the relation represents a function. State the domain and the range of the relation. Letters Z Letters Y A B C D Does the relation represent a function? Yes No Select the list that represents the elements of the domain. { Z, A, C} { Y, B, D} { C, B, D} { Z, A, Y} Select the list that represents the elements of the range. { Z, A, C} { B, D, C} { Y, Z, A} { Y, B, D} ID: 3.1.3b. Use the graph of the function f shown to the right to answer parts (a) through (d). (a) Find f( 1). f( 1 ) = (b) Find f( ). f( ) = (c) Find f( 1). f( 1 ) = (,) 5 (1,) (,) ( 1,0) (,0) (,0) 0 0 (0, ) (, ) ( 1, ) 5 (d) For what number(s) of is f() =? (Use a comma to separate answers as needed.) ID: 3.1.1

5 7. The table shows a 199 projection for online shopping per U.S. online household through 00. Use the points (000,150) and (001,1500) in the table to find the average rate of change from 000 to 001. What is the average rate of change from 000 to 001? dollars/ear Input Output Input, Year Output, dollars spent per household ID: 3... The following table of data gives the median age of a man in a certain countr at the time of his first marriage. Year Median Age During what ten ear period did the average age increase the most? The average age increased the most during the period (1) (1) ID: 3..

6 9. The following table of data gives the median age of a man in a certain countr at the time of his first marriage. Year Median Age Complete parts a) through c). a) What does it mean in this situation if the average rate of change is negative? A. It means the median age of a man at the time of his first marriage decreases during the ten ear period. B. It means the median age of a man at the time of his first marriage remains constant during the ten ear period. C. It means the median age of a man at the time of his first marriage increases during the ten ear period. b) Determine at least one ten ear period when the average rate of change is negative. A and B , and C , , and D c) What trend would one observe in the graph if the average rate of change were negative? That is, would the graph go up, go down, or remain constant? If the average rate of change were negative, the graph would (1) (1) remain constant. go up. go down. ID: If a new car is valued at \$,000 and ears later it is valued at \$ 3000, then what is the average rate of change of its value during those ears? 0 (thousands of dollars) The average rate of change is ear. dollars per Value (ears) 0 0 Time ID: 3..a 11. Let g be a function defined b g() = 1. Determine the value of for which g() = 17. What is the value of for which g() = 17? = (Simplif our answer.) ID: 3.3.3b

7 1. 1 Answer the question about the function g() = + 3. Is the point (, 1) on the graph of the function? Is the point (, 1) on the graph of the function? No Yes ID: Suppose f() =. Which of the following points lie on its graph? + 1 (1,1) (5,7), 9 (0,5) 5, 5 7 Which of the following points lie on its graph? Select all that appl. A. (5,7) B. (1,1) C. (0,5) D. E. 1, 9 5, 5 7 ID: The weekl salar of the manager is \$ 500 plus 0% commission on her weekl sales. Complete parts a through c. a) Write a function epressing her weekl salar, s, in terms of her weekl sales,. s() = b) What is her weekl salar if her sales were \$,000? \$ c) If her weekl salar for the week was \$ 1,0, what were her weekl sales? \$ ID: Let k be a function defined b k(w) = 0. w. Determine the value of w for which k(w) = 1. w = (Simplif our answer.) ID: 3..

8 1. The slope of a street is How man feet verticall does it rise over a horizontal distance of 0 feet? The street rises feet. (Simplif our answer.) ID: 3.5.a The slope for a wheelchair ramp must not eceed. The ramp must be 1 inches high. Determine the minimum 1 horizontal length of the ramp so that it meets this requirement. The minimum horizontal length of the ramp is inches. ID: 3.5.5b 1. You are a member of a health and fitness club. A special diet and eercise program has been developed for ou b the club's registered dietitian and our personal trainer. You weigh 1 pounds and would like to lose pounds ever week. Complete parts a through e below. a. Complete the following table of values for our desired weight each week. N, Number of Weeks W(N), Desired Weight (lb.) (Simplif our answers.) b. Plot the data points. Choose the correct graph below. A. B. C. D. 00 W(N) 00 W(N) 00 W(N) 00 W(N) Weight (lb) N Number of Weeks Weight (lb) N Number of Weeks Weight (lb) N Number of Weeks Weight (lb) N Number of Weeks c. Eplain wh our desired weight is a linear function of time. What is the slope of the line containing the five data points? M desired weight is a linear function of time because it has a (1) slope(average rates of change) is(are). (Simplif our answer. Use a comma to separate answers as needed.) average rate of change each week. The d. What is the practical meaning of slope in this situation? Ever week I hope to () pounds. (Simplif our answer.) e. How long will it take to reach our ideal weight of 1 pounds? It will take week(s) to reach 1 pounds. (Simplif our answer. Tpe an integer, proper fraction, or mied number.) (1) constant varing () lose gain ID: 3.5.7

9 19. Use the table to find the slope, m, of the graph of Y 1. Select the correct choice below and fill in an answer boes within our choice. A. The slope of the line is. (Tpe an integer or a simplified fraction.) B. The slope of the line is undefined. Table of Points Generated b Linear Function Y 1 X Y ID: 3.5.b 0. Find the rate of change. Value of computer (in hundreds of dollars) Number of ears of use The rate of change is \$ per ear. (Tpe an integer or a decimal.) ID: 3.5.9a

10 1. Each of the parts a through c refers to the graph that accompanies it. The graphed line in each grid represents the total distance a car travels as a function of time (in hours). Answer parts a through c. a. How fast is the car traveling? Eplain the result. Select the correct choice below and fill in the answer bo to complete our choice. (Tpe an integer or decimal.) A. The car is traveling miles per hour. It is the slope of the line. B. The car is traveling miles per hour. It is the total distance traveled in hours. C. The car is traveling hours per mile. It is the slope of the line. Distance (mi.) Time (hr.) b. How can ou determine visuall from the following graph which car is going faster? Verif the answer b calculating the speed of each car. Select the correct choice below and fill in the answer boes to complete our choice. (Round to the nearest tenth as needed.) A. Car A is going faster because the line for car A is steeper than the line for car B. This is verified because the speed of car A is miles per hour which is greater than the speed of car B which is miles per hour. B. Car B is going faster because the line for car B is steeper than the line for car A. This is verified because the speed of car B is miles per hour which is greater than the speed of car A which is miles per hour. Distance (mi.) car B car A Time (hr.) c. Describe in words the movement of the car that is represented b the following graph. A. The car moves with a speed of about 30 miles per hour for hours, then halts for 1 hour and continues its journe with a speed of about 7 miles per hour for the net 3 hours. B. The speed of the car increases continuousl for the first hours, then the car moves with a constant speed for the net 1 hour and continues its journe with increasing speed for the net 3 hours. C. The car moves with a speed of about 7 miles per hour for hours, then halts for 1 hour and continues its journe with a speed of about 30 miles per hour for the net 3 hours. D. The car moves with a speed of about 30 miles per hour for hours, then halts for 1 hour and continues its journe with a speed of about 30 miles per hour for the net 3 hours. Distance (mi.) Time (hr.) ID: 3.5.

11 . Answer parts a and b based on the following graphs of lines a. Determine the slope of each of the following lines Slope = Slope = Slope = b. At first glance, the three graphs in part a ma appear to represent the same line. Do the? Yes No ID:

12 3. Driving a rental car miles costs C() = dollars. Complete parts a, b, and c below. a. What is the slope of this model? The slope is. (Tpe an integer or decimal rounded to two decimal places as needed.) What does the slope represent in this situation? Choose the correct answer below. the cost per mile of driving the car the miles driven the total cost of renting and driving the car the fied cost of driving the car b. What is the intercept of this model? The intercept is. (Tpe an integer or decimal rounded to two decimal places as needed.) What does the intercept represent in this situation? Choose the correct answer below. the fied cost of renting the car the miles driven the total cost of renting and driving the car the cost per mile of driving the car c. How much does it cost to drive the car one additional mile? Driving one additional mile would cost an additional \$. ID: 3..3

13 . The formula P() = models the percentage of men, P(), smoking cigarettes ears after 190. a. Use the formula to find the percentage of men who smoked in 19. The percentage of men who smoked in 19 is %. (Simplif our answer. Tpe an integer or decimal rounded to one decimal place as needed.) b. What is the slope of this model? The slope is. (Simplif our answer. Tpe an integer or decimal rounded to one decimal place as needed.) What does the slope represent in this situation? Choose the correct answer below. The slope represents the men that smoke is (1) b () c. What is the P() intercept of this model? The P() intercept is. (Tpe an integer or a fraction.) What does the P() intercept represent in this situation? Choose the correct answer below. In 190, the percent increase if men who smoked. The percentage of men who smoked in 190. The number of ears after 190 that the percentage of men who smoke will be 0%. The percentage of men who smoked one ear after 190. (1) increasing decreasing () % per ear. ears. ears per 1 %. ID: Find the equation of the line whose slope is and intercept is ( 0, 1). Graph the line. The equation of the line is (Tpe our answer in slope intercept form.) Use the graphing tool to graph the equation. ID: 3..a

14 . Find the equation of the line whose slope is intercept is ( 0,0). Graph the line. The equation of the line is (Tpe our answer in slope intercept form.) and Use the graphing tool to graph the equation ID: 3..b 7. Find the equation of the line with intercept (0, ) and slope of. 9 Enter the equation of the line in slope intercept form below. (Tpe an equation. Use integers or fractions for an numbers in the equation.) ID: 3..c. Graph the function b using intercepts. g() = 5 5 Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line ID: 3..7

15 9. Use the intercepts to graph the line. f() = 3 + Use the graphing tool to graph the line. Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line. ID: Find the horizontal intercept and the vertical intercept. Then graph the equation. = What is the horizontal intercept? Select the correct choice below and fill in an answer boes within our choice. A. The horizontal intercept is. (Tpe an ordered pair.) B. There is no horizontal intercept. What is the vertical intercept? Select the correct choice below and fill in an answer boes within our choice. A. The vertical intercept is. ID: 3..9 (Tpe an ordered pair.) B. There is no vertical intercept. Use the graphing tool to graph the line. Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line.

16 31. Find the intercepts and then use them to graph the equation. 5 = + 5 Use the graphing tool to graph the line. Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line. ID: Use intercepts and a checkpoint to graph the linear function below. = 1 Use the graphing tool to graph the linear equation. Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line ID: Find the intercepts and then use them to graph the equation. + = Use the graphing tool to graph the line. Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line. ID: 3..1

17 3. Graph the equation using the and intercepts. = + 7 Use the graphing tool to graph the linear equation. (Use the intercepts when drawing the line. If onl one intercept eists, use it and another point to draw the line.) ID: 3..19a 35. Graph the linear equation. = + 3 Use the graphing tool to graph the linear equation. ID: 3..19b 3. Write the equation of the line in slope intercept form given the vertical intercept and another point on the line. ( 3, ), (0, ) The equation of the line is =. (Tpe an epression using as the variable. Use integers or fractions for an numbers in the epression.) ID: 3.7.

18 37. Suppose the imports from a certain countr grew from about 37 billion dollars in 199 to 7 billion dollars in 000. Let = 0 correspond to 199. Estimate the imports (in billions of dollars) for the ear Which linear equation best models the imports? A. = 5 37 B. = 3 37 C. = D. = In 001, the imports were approimatel billion dollars (Assume the data can be modeled b a straight line.) ID: 3.7.5

19 3. Federal income ta paid b an individual single tapaer is a function of taable income. For a recent ear, the federal ta for various taable incomes is given in the following table. Complete parts a through f below. i, Taable Income (\$) 15,000 1,50 17,500 1,750 0,000 1,50,500 t, Federal Ta (\$) 1,9 1,91,139,3,59,1 3,039 a. Plot the data points, with taable income i as input and ta t as output. Scale the input ais from \$0 to \$,000 and the output ais from \$0 to \$000. Eplain wh the relationship is linear. Choose the correct graph below. A. B. C. D. 000 t 000 t 000 t 000 t i i i i Wh is the relationship linear? A. All the points lie on a single line. B. Not all of the points lie on a single line. C. The best fit line is a straight line. D. Most of the points lie in a straight line. b. Determine the slope of the line. What is the practical meaning of the slope? The slope of the line is. (Tpe an integer or a decimal.) The practical meaning of the slope of this line is (1) c. Write an equation to model this situation. Use the variable i to represent the taable income and the variable t to represent the federal ta owed. The equation is. (Tpe an equation. Tpe our answer in slope intercept form. Use integers or decimals for an numbers in the equation.) d. What is the t intercept? Does it make sense? Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The t intercept is. This t intercept does not make an sense in this problem. (Tpe an ordered pair.) B. The t intercept is. This t intercept does make sense in this problem. e. Use the equation from part c to determine the federal ta owed b a college student having a taable income of \$ 00. The federal ta owed b a college student is \$. f. Use the equation from part c to determine the taable income of a single person who paid \$ 1 in federal taes. The taable income of a single person is \$. (Round to the nearest dollar as needed.)

20 (1) a line rising to the right. a line falling to the right. ID: Find the equation of the line that contains the given point and slope. Write the equation in slope intercept form and graph the line. (1,1); slope = 5 The equation of the line is. (Tpe our answer in slope intercept form.) Choose the correct graph of the line below. A. B. C ID: Determine the equation of the line that has the given slope and passes through the given point. Then sketch a graph of the line. m = 1, through the point (5,0) The equation of the line is. (Tpe our answer in slope intercept form.) Use the graphing tool to graph the line. Use the given point when drawing the line. ID: 3..3

21 1. Graph the line containing the point P and having slope m. P = (3, 3) ; m = 1 Use the graphing tool to graph the line. Use the given point when drawing the line. ID: Find the equation of the line that fits the description. Passes through ( 1, 7) and has zero slope. The equation of the line is. (Simplif our answer.) ID: Graph the line that contains the point (, 1) and has a 1 slope of. Use the graphing tool to graph the line. Use the given point when drawing the line. ID: Find an equation of the line that has the given slope and passes through the given point. m =, (, ) = ID: 3..

22 5. The annual cost of the average private college or universit is shown in the table. This cost includes tuition, fees, room, and board. Year Cost \$5,000 \$9,000 (a) Find the slope intercept form of a line that passes through these two data points. The slope intercept form of a line that passes through these two data points is. (Tpe an equation. Use integers or fractions for an numbers in the equation.) (b) Interpret the slope as a rate of change. Choose the correct choice below. A. The cost is decreasing b \$ 000 for period 00 to 00. B. The cost is increasing b \$ 000 per ear. C. The cost is increasing b \$ 000 for period 00 to 00. D. The cost is decreasing b \$ 000 per ear. (c) Estimate the cost of private college in 015. The cost of private college in 015 is \$. ID: The median home sale price in countr A has been rising approimatel linearl since The median home sale price in 1995 was \$ 130,500. The median home sale price in 00 was \$ 09,700. Let P be the median home sale price and let t be the number of ears since a. Determine a function P(t) that fits this data. P(t) = (Do not include the \$ smbol in our answer.) b. Use the function from part (a) to estimate the median home sale price in 000. \$ ID: Find an equation of the line containing the given pair of points. ( 3, 0) and ( 0, 1) What is the equation of the line? = (Tpe our answer in slope intercept form. Use integers or fractions for an numbers in the epression.) ID: 3.HCIP.a. Find the slope intercept equation of the line that has the given characteristics. Slope 7 and the line passes through the point (0, 9) What is the slope intercept equation? = ID: 3.HCIP.b

23 9. Find the equation of the line that fits the description. Passes through (1, 3) and has zero slope. The equation of the line is. (Simplif our answer.) ID: 3.HCIP.c 50. Complete the table for each equation. Then identif the solution to both equations = +???? =???? = + = The solution to both equations is. (Tpe an ordered pair.) ID: d 51. Solve the sstem of equations graphicall. = + = Use the graphing tool to graph the sstem. What is the solution of the sstem of equations? Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution is. (Tpe an ordered pair.) B. There are infinitel man solutions. C. There is no solution. ID: h 5. A woman is considering two companies from which to rent a truck. Triangle Truck Rental charges \$ 35 per da and 5 cents a mile. Circle Rent A Truck charges \$ 0 a da and 5 cents a mile. How far would she need to drive in one da for the both companies to have the same total cost? How man miles would she need to drive in the da? miles ID: i

24 53. Ellie is considering joining a health club during the winter months. One club charges \$15.00 per month and \$ per visit and a second club charges \$ 5.50 per visit with no monthl membership fee. At how man visits will the monthl price of the two clubs be the same? At visits the monthl price of the two clubs will be the same. ID: A golfer has two options for membership in a golf club. A social membership costs \$1775 in annual dues. In addition, he would pa a \$ 5 greens fee and a \$ 5 golf cart fee ever time he plaed. A golf membership costs \$5 in annual dues. With this membership, the golfer would onl pa a \$ 5 golf cart fee when he plaed. How man times per ear would the golfer need to pla golf for the two options to cost the same? The golfer would need to golf times per ear for the two options to cost the same. ID: Solve the sstem of equations b substitution. = = 3 3 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The sstem is consistent, and the solution is. (Tpe an ordered pair.) B. The sstem is inconsistent. ID: Solve the sstem of equations b the substitution method. = 5 = 9 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The sstem is consistent, and the solution is. (Tpe an ordered pair.) B. The sstem is inconsistent. ID: Solve the following sstem b substitution. = = 5 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The sstem is consistent, and the solution is. (Tpe an ordered pair.) B. The sstem is inconsistent. ID: 3.11.

25 5. Use substitution to determine algebraicall the eact solution to the sstem of equations. Check the solutions numericall and b using the table feature or graphing capabilit of a graphing calculator or other form of technolog. z = w z = w Select the correct choice below, and if necessar, fill in the answer bo to complete our choice. A. The sstem is consistent, and the solution is. (Tpe an ordered pair.) B. The sstem is inconsistent. ID:

26 59. John wants to hire someone to prune his trees and shrubs. One service he called charges an \$ 11 consultation fee plus \$ 9 an hour for the actual work. A neighborhood gardener said that she does not include a consulting fee, but she charges \$ 1 an hour for her work. Complete parts a through e below. a) Write an equation that describes the pruning service's charge, C, as a function of h, the number of hours worked. b) Write an equation that describes the local gardener's charge, C, as a function of h, the number of hours worked. c) Whom would he hire for a hour job? the local gardener the other service d) When, if at all, would it be more economical to hire the other service? Set up and solve a sstem of equations to answer this question. Select the correct choice below and fill in the answer boes to complete our choice. (Tpe an integer, fraction, or mied number.) A. If John gets a service which charges greater than \$ for hours then it would me more economical to go for other service. B. If John finds a service which charges less than \$ for hours, then it would be more economical to use the other service. e) Use technolog to verif the results. Choose the correct graph below. A. B. C. D. (All graphs have the viewing window [0,, 1] b [0, 0, ].) ID: Solve the sstem b the substitution method. = = The solution to the sstem is. (Simplif our answer. Tpe an ordered pair.) ID: 3.1.1b

27 1. Find the solution to the sstem b the substitution method. Check our answer. + = = 0 The solution to the sstem is. (Simplif our answer. Tpe an ordered pair. Tpe integers or decimals rounded to the nearest tenth as needed.) ID: 3.1.1d. Solve the sstem b the addition method = 1 = The solution to the sstem is. (Simplif our answer. Tpe an ordered pair.) ID: 3.1.a 3. Solve the sstem b the addition method. Check the answer numericall and b using a graphing calculator. 3 = = 5 The solution to the sstem is. (Simplif our answer. Tpe an ordered pair.) ID: 3.1.b. Solve the sstem b the addition method. Check the answer numericall and b using a graphing calculator. 7 5 = = 1 5 The solution to the sstem is. (Simplif our answer. Tpe an ordered pair. Tpe integers or decimals rounded to the nearest tenth as needed.) ID: 3.1.c 5. In a discount clothing store, all sweaters are sold at one fied price and all shirts are sold at another fied price. If one sweater and two shirts cost \$, while five sweaters and five shirts cost \$155, find the price of one sweater and the price of one shirt. The price of a sweater is \$. The price of a shirt is \$. ID: 3.1.e

28 . As part of a communit service project, a fraternit is asked to put up a fence in the plaground area at a local dacare facilit. A local fencing compan will donate 900 feet of fencing. The dacare center director specifies that the length of the rectangular enclosure be feet more than the width. Determine the dimensions of the enclosed region that meets the director's specifications. Complete the parts a) through e). a) What does the 900 represent with respect to the rectangular enclosure? Area of the rectangular enclosure Perimeter of the rectangular enclosure b) Write an equation that gives the relationship between the length L, width W, and 900. (Do not simplif.) c) Write an equation that epresses the length of the rectangle in terms of W. d) The equations in parts b) and c) form a sstem of equations involving the variables L and W. Solve this sstem of equations to determine the dimensions of the enclosed region that satisf the given conditions. The length of the rectangular enclosure is feet and the width is feet. e) Eplain how ou know that our result in part d) solves the problem statement. A. The values check when the are verified in an one of the original equations. B. The values check when the are verified in both of the original equations. C. The values can be used to find the area of the rectangular enclosure. D. Solving the sstem b addition gives the same result as solving it b substitution. ID: Solve the following inequalit algebraicall. 5 > 30 The solution is. (Simplif our answer. Tpe an inequalit. Use integers or fractions for an numbers in the epression.) ID: Solve the following inequalit algebraicall. > The solution is. (Simplif our answer. Tpe an inequalit. Use integers or fractions for an numbers in the epression.) ID: 3.1.5

29 9. Solve the following inequalit algebraicall. 3 > + 3 The solution is. (Simplif our answer. Tpe an inequalit. Use integers or fractions for an numbers in the epression.) ID: Solve 3 < ( 3 ) + 3 algebraicall. The solution is. (Simplif our answer. Tpe an inequalit. Use integers or fractions for an numbers in the epression.) ID: Solve the sstem of equations b the substitution method. = 9 = 7 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution is. (Tpe an ordered pair.) B. There is no solution. ID: 3.HCIP You sell centerpieces for \$ 0.50 each. Your fied costs are \$50 per month, and each centerpiece costs \$1 to produce. (In solving this eercise, let n represent the number of centerpieces produced and sold.) Complete parts a through c below. a. Write the cost function. C(n) = b. Write the revenue function. R(n) = c. Determine the break even point. Thus, centerpieces must be sold to break even. ID: 3.HCIP An automobile dealership has found that for ever 10 cars sold, 3 will be brought back to the dealer for major repairs. If the dealership sells 0 cars this ear, approimatel how man cars will be brought back for major repairs? cars ID:

30 7. The distance between two cities is approimatel 30 kilometers. What is the distance between these two cities in miles? A kilometer is equivalent to 0.1 miles. The distance is miles. (Round to the nearest whole number as needed.) ID: Nurses who administer medications must ensure that each dosage is customized to the patient. Units of measurement in the following dosage problem are g, grams and mg, milligrams. Determine how man tablets need to be administered. The dose to be given is 30 milligrams. The stock strength is 0.1 gram per tablet. The number of tablets that need to be administered is. ID: a

31 1. A. The independent variable is weight and the dependent variable is height. C. No, because there is a value in the weight column for which there are two different values assigned in the height column. A. The independent variable is height and the dependent variable is weight. B. Yes, because for each value in the height column, there is one and onl one value assigned in the weight column. D. No, because there can be persons with the same height and different weights.. Yes 3. No. Yes D. { John, Katie, Kia, Marsha, Jan} B. { Doe, Smith, Hill, Brad} 5. No { Z, A, C} { Y, B, D} (1) A. It means the median age of a man at the time of his first marriage decreases during the ten ear period. C , , and (1) go down Yes

32 13. 1 D.,, E. 9 5, ,700 3, W(N) B. Weight (lb) N Number of Weeks (1) constant () lose A. The slope of the line is.(tpe an integer or a simplified fraction.)

33 1. A. The car is traveling 50 miles per hour. It is the slope of the line. B. Car B is going faster because the line for car B is steeper than the line for car A. This is verified because the speed of car B is. miles per hour which is greater than the speed of car A which is.7 miles per hour. A. The car moves with a speed of about 30 miles per hour for hours, then halts for 1 hour and continues its journe with a speed of about 7 miles per hour for the net 3 hours.. 3 No the cost per mile of driving the car the fied cost of renting the car (1) decreasing 0.5 () % per ear. 3 The percentage of men who smoked in = 1

34 . = =

35 30. B. There is no horizontal intercept. A. The vertical intercept is (0,).(Tpe an ordered pair.)

36 D. =

37 000 t 0 3. D A. All the points lie on a single line. 0.1 (1) a line rising to the right. t = 0.1i 11 i A. The t intercept is (0, 11). This t intercept does not make an sense in this problem. (Tpe an ordered pair.) = 5 A = + 5

38 1.. = = 000 3,97,000 B. The cost is increasing b \$ 000 per ear. 3, t + 130,500 17,

39 9. = (1,3) 51. A. The solution is (,).(Tpe an ordered pair.) A. The sstem is consistent, and the solution is (,1). (Tpe an ordered pair.) A. The sstem is consistent, and the solution is,. (Tpe an ordered pair.) A. The sstem is consistent, and the solution is 7, 35.(Tpe an ordered pair.)

40 5. A. The sstem is consistent, and the solution is (0, ).(Tpe an ordered pair.) 59. C = 9h + 11 C = 1h the other service B. If John finds a service which charges less than \$ for 3 3 hours, then it would be more economical to use the other service. A. 0. (1,3) 1. (.5, ). (,0) 3. (, 3). (0, 0.) Perimeter of the rectangular enclosure (L + W) = 900 L = W B. The values check when the are verified in both of the original equations. 7. >

41 . < 5 9. > > A. The solution is,. (Tpe an ordered pair.) n 0.5n

### North Carolina Community College System Diagnostic and Placement Test Sample Questions

North Carolina Communit College Sstem Diagnostic and Placement Test Sample Questions 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College

### Name: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA 1

Name: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA ) When simplifing an epression, ou perform operations inside grouping smbols first. a. alwas b. sometimes c. never ) The opposite of a negative

### REVIEW PACKET FOR END OF COURSE EXAM

Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate

### Linear and Nonlinear Systems of Equations. The Method of Substitution. Equation 1 Equation 2. Check (2, 1) in Equation 1 and Equation 2: 2x y 5?

3330_070.qd 96 /5/05 Chapter 7 7. 9:39 AM Page 96 Sstems of Equations and Inequalities Linear and Nonlinear Sstems of Equations What ou should learn Use the method of substitution to solve sstems of linear

### Final Exam Review. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Final Eam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether or not the relationship shown in the table is a function.

### b(n) = 4n, where n represents the number of students in the class. What is the independent

Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing movie tickets that sell for \$ each C The cost,, after a \$ discount,

Math Test Calculator 5 M INUTES, QUE S TI ON S Turn to Section of our answer sheet to answer the questions in this section. For questions -7, / +5 solve each problem, choose the best answer from the choices

### THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER

THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER ALGEBRA EOC PRACTICE Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing

### Assessment Readiness. 28 Unit 1 MIXED REVIEW. 1. Look at each number. Is the number between 2π and

MODULE 1 1. Look at each number. Is the number between π and 5? Select or for epressions A C. A. 6 _ 3 5π B. C. 3 5. Consider the number - 11 15. A. The number is rational. True False B. The number can

### x. 4. 2x 10 4x. 10 x

CCGPS UNIT Semester 1 COORDINATE ALGEBRA Page 1 of Reasoning with Equations and Quantities Name: Date: Understand solving equations as a process of reasoning and eplain the reasoning MCC9-1.A.REI.1 Eplain

### LESSON #24 - POWER FUNCTIONS COMMON CORE ALGEBRA II

1 LESSON #4 - POWER FUNCTIONS COMMON CORE ALGEBRA II Before we start to analze polnomials of degree higher than two (quadratics), we first will look at ver simple functions known as power functions. The

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Stud Guide - Ch 3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The bar graph below shows the number of students b major in the College of

### 3.2 Introduction to Functions

8 CHAPTER Graphs and Functions Write each statement as an equation in two variables. Then graph each equation. 97. The -value is more than three times the -value. 98. The -value is - decreased b twice

### MATH 1710 College Algebra Final Exam Review

MATH 7 College Algebra Final Eam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) There were 80 people at a pla. The admission price was \$

### Lecture Guide. Math 90 - Intermediate Algebra. Stephen Toner. Intermediate Algebra, 2nd edition. Miller, O'Neill, & Hyde. Victor Valley College

Lecture Guide Math 90 - Intermediate Algebra to accompan Intermediate Algebra, 2nd edition Miller, O'Neill, & Hde Prepared b Stephen Toner Victor Valle College Last updated: 11/24/10 0 1.1 Sets of Numbers

### Intermediate Algebra / MAT 135 Spring 2017 Master ( Master Templates)

Test 1 Review #1 Intermediate Algebra / MAT 135 Spring 017 Master ( Master Templates) Student Name/ID: 1. Solve for. = 8 18. Solve for. = + a b 3. Solve for. a b = L 30. Two trains leave stations miles

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C)b = h 2A

MATH 830/GRACEY EXAM PRACTICE/CH..-3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the formula for the specified variable. 1) A = 1 bh

### Ready To Go On? Skills Intervention 2-1 Solving Linear Equations and Inequalities

A Read To Go n? Skills Intervention -1 Solving Linear Equations and Inequalities Find these vocabular words in Lesson -1 and the Multilingual Glossar. Vocabular equation solution of an equation linear

### M122 College Algebra Review for Final Exam

M1 College Algebra Review for Final Eam Revised Fall 017 for College Algebra - Beecher All answers should include our work (this could be a written eplanation of the result, a graph with the relevant feature

### Solve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7

Practice Solving Sstems b Graphing Solve each sstem b graphing. Check our solution. 1. =- + 3 = - (1, ). = 1 - (, 1) =-3 + 5 3. = 3 + + = 1 (, 3). =-5 = - 7. = 3-5 3 - = 0 (1, 5) 5. -3 + = 5 =-7 (, 7).

### Algebra 2 Unit 2 Practice

Algebra Unit Practice LESSON 7-1 1. Consider a rectangle that has a perimeter of 80 cm. a. Write a function A(l) that represents the area of the rectangle with length l.. A rectangle has a perimeter of

### Instructor: Imelda Valencia Course: A3 Honors Pre Calculus

Student: Date: Instructor: Imelda Valencia Course: A3 Honors Pre Calculus 01 017 Assignment: Summer Homework for those who will be taking FOCA 017 01 onl available until Sept. 15 1. Write the epression

### Intermediate Algebra Review for Exam 1 - Spring 2005

Intermediate Algebra Review for Eam - Spring 00 Use mathematical smbols to translate the phrase. ) a) 9 more than half of some number b) 0 less than a number c) 37 percent of some number Evaluate the epression.

### 2.4 Library of Functions; Piecewise-defined Functions. 1 Graph the Functions Listed in the Library of Functions

80 CHAPTER Functions and Their Graphs Problems 8 88 require the following discussion of a secant line. The slope of the secant line containing the two points, f and + h, f + h on the graph of a function

### LESSON #12 - FORMS OF A LINE COMMON CORE ALGEBRA II

LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS

### LESSON #28 - POWER FUNCTIONS COMMON CORE ALGEBRA II

1 LESSON #8 - POWER FUNCTIONS COMMON CORE ALGEBRA II Before we start to analze polnomials of degree higher than two (quadratics), we first will look at ver simple functions known as power functions. The

3. Graph Quadratic Functions in Standard Form Georgia Performance Standard(s) MMA3b, MMA3c Goal p Use intervals of increase and decrease to understand average rates of change of quadratic functions. Your

### LESSON #11 - FORMS OF A LINE COMMON CORE ALGEBRA II

LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS

### Review for Intermediate Algebra (MATD 0390) Final Exam Oct 2009

Review for Intermediate Algebra (MATD 090) Final Eam Oct 009 Students are epected to know all relevant formulas, including: All special factoring formulas Equation of a circle All formulas for linear equations

### Fair Game Review. Chapter 2. and y = 5. Evaluate the expression when x = xy 2. 4x. Evaluate the expression when a = 9 and b = 4.

Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five

### DMA 50 Worksheet #1 Introduction to Graphs: Analyzing, Interpreting, and Creating Graphs

DMA 0 Worksheet #1 Introduction to Graphs: Analzing, Interpreting, and Creating Graphs A graph will be given followed b a set of questions to answer. Show our work. The bar graph below shows the number

### Algebra 1 Honors First Semester Review

Permitted resources: Algebra 1 Honors First Semester Review TI-108 (or similar basic four function calculator) Algebra 1 and Geometr EOC Reference Sheet 4. Identif the mapping diagram that represents the

### Algebra 1 CP Semester Exam Review

Name: Hr: Algebra CP Semester Eam Review GET ORGANIZED. Successful studing begins with being organized. Bring this packet with ou to class ever da. DO NOT FALL BEHIND. Do the problems that are assigned

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Practice Test 1-0312-Chap. 2.4,2.7, 3.1-3.6,4.1,.4,. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write an inequalit statement involving the

### Identify the domain and the range of the relation from the graph. 8)

INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)

### Elementary Algebra ~ Review for Exam 2

Elementar Algebra ~ Review for Eam 2 Solve using the five-step problem-solving process. 1) The second angle of a triangle is 3 times as large as the first. The third angle is 3e more than the first. Find

### 1.1. Use a Problem Solving Plan. Read a problem and make a plan. Goal p Use a problem solving plan to solve problems. VOCABULARY. Formula.

. Georgia Performance Standard(s) MMPd, MMPa Your Notes Use a Problem Solving Plan Goal p Use a problem solving plan to solve problems. VOCABULARY Formula A PROBLEM SOLVING PLAN Step Read the problem carefull.

### math0320 FALL interactmath sections developmental mathematics sullivan 1e

Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan

### 9 (0, 3) and solve equations to earn full credit.

Math 0 Intermediate Algebra II Final Eam Review Page of Instructions: (6, ) Use our own paper for the review questions. For the final eam, show all work on the eam. (-6, ) This is an algebra class do not

### Algebra 2 Unit 1 Practice

Algebra Unit Practice LESSON - Use this information for Items. Aaron has \$ to rent a bike in the cit. It costs \$ per hour to rent a bike. The additional fee for a helmet is \$ for the entire ride.. Write

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) x y =

Santa Monica College Practicing College Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the standard equation for the circle. 1) Center

### Key Focus #6 - Finding the Slope of a Line Between Two Points.

Ke Focus #6 - Finding the Slope of a Line Between Two Points. Given the following equations of lines, find the SLOPES of the lines: = + 6... + 8 = 7 9 - = 7 - - 9 = 4.. 6. = 9-8 - = + 7 = 4-9 7. 8. 9..

### Algebra I STAAR Practice Test A

Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges \$5 for a service call and \$15 per hour for repairs. She uses the graph

### Solving Systems Using Tables and Graphs

3-1 Solving Sstems Using Tables and Graphs Vocabular Review 1. Cross out the equation that is NOT in slope-intercept form. 1 5 7 r 5 s a 5!3b 1 5 3 1 7 5 13 Vocabular Builder linear sstem (noun) LIN ee

### Topic 1: Writing and Solving Equations and Inequalities

Topic 1: Writing and Solving Equations and Inequalities In #1 3, solve each equation. Use inverse operations. 1. 8 21 5 = 15 2. 3 10 = 2(4 5) 3. 2( + 2) = 2 + 1 4. The rectangle and square have equivalent

### 118 Intermediate Algebra Fall Intermediate Algebra FNMT Time: 6:30-9:35 pm, Thursday. Room 228

118 Intermediate Algebra Fall 2018 Intermediate Algebra - 40428 - FNMT 118-122 Time: 6:30-9:3 pm, Thursda Room 228 SYLLABUS Catalog description. Real numbers, polnomials, rational epressions, algebraic

### 6. Graph each of the following functions. What do you notice? What happens when x = 2 on the graph of b?

Pre Calculus Worksheet 1. Da 1 1. The relation described b the set of points {(-,5,0,5,,8,,9 ) ( ) ( ) ( )} is NOT a function. Eplain wh. For questions - 4, use the graph at the right.. Eplain wh the graph

### Chapter 4. Chapter 4 Opener. Section 4.1. Big Ideas Math Blue Worked-Out Solutions. x 2. Try It Yourself (p. 147) x 0 1. y ( ) x 2

Chapter Chapter Opener Tr It Yourself (p. 7). As the input decreases b, the output increases b.. Input As the input increases b, the output increases b.. As the input decreases b, the output decreases

### [ ] 4. Math 70 Intermediate Algebra II Final Exam Review Page 1 of 19. Instructions:

Math Intermediate Algebra II Final Eam Review Page of 9 Instructions: Use our own paper for the review questions. For the final eam, show all work on the eam. This is an algebra class do not guess! Write

40 CHAPTER Graphs.4 Assess Your Understanding Concepts and Vocabular. The slope of a vertical line is ; the slope of a horizontal line is.. Two nonvertical lines have slopes m and m, respectivel. The lines

### Practice Algebra 1 SCP Midterm 2015

Practice Algebra 1 SCP Midterm 01 Multiple Choice Identif the choice that best completes the statement or answers the question. Solve the equation. 1. = m 0 7 7 7 7. 0 7 60. x 6 = 7 8 19 1 1 19 1..1x +.

### Summary and Vocabulary

Chapter Chapter Summar and Vocabular Equations involving percents ma be written in the form p q = r, where p is the decimal form of the percent, q is the initial quantit, and r is the resulting quantit.

### First Semester Final Review NON-Graphing Calculator

Algebra First Semester Final Review NON-Graphing Calculator Name:. 1. Find the slope of the line passing through the points ( 5, ) and ( 3, 7).. Find the slope-intercept equation of the line passing through

### Test 1 Review #5. Intermediate Algebra / MAT 135 Fall 2016 Master (Prof. Fleischner)

Test 1 Review #5 Intermediate Algebra / MAT 135 Fall 016 Master (Prof. Fleischner) Student Name/ID: 1. Solve for n. d = m + 9n. Solve for b. r = 5 b + a 3. Solve for C. A = 7 8 B + C ALEKS Test 1 Review

### Math 0240 Final Exam Review Questions 11 ( 9) 6(10 4)

11 ( 9) 6(10 4) 1. Simplif: 4 8 3 + 8 ( 7). Simplif: 34 3. Simplif ( 5 7) 3( ) 8 6 4. Simplif: (4 3 ) 9 5. Simplif: 4 7 3 6. Evaluate 3 4 5 when and 3 Write each of the values below in decimal or standard

### Released Items. Grade 8 Mathematics North Carolina End-of-Grade Assessment. Published January 2019

Released Items Published Januar 019 Grade 8 Mathematics North Carolina End-of-Grade Assessment Public Schools of North Carolina Department of Public Instruction State Board of Education Division of Accountabilit

### Math 0240 Final Exam Review Questions 11 ( 9) 6(10 4)

Math 040 Final Eam Review Questions 11 ( 9) 6(10 4) 1. Simplif: 4 8 3 + 8 ( 7). Simplif: 34 3. Simplif ( 5 7) 3( ) 8 6 4. Simplif: (4 3 ) 9 5. Simplif: 6. Evaluate 4 7 3 3 4 5 when and 3 Write each of

### Name Class Date. Comparing Multiple Representations Going Deeper. Comparing a Table and a Graph

1 Name Class Date Comparing Multiple Representations Going Deeper Essential question: How can ou use tables, graphs, and equations to compare functions? CC.8.EE.5 EXPLORE Comparing a Table and a Graph

### Unit 2: Linear Equations and Inequalities

Mr. Thurlwell's Assignment Sheet Algebra 1 Unit 2: Linear Equations and Inequalities Name: Assignment #1 (3.3) pg 177 4-22e Assignment #2 (4.3) pg 235 2-10e, 24,30,47,50 Assignment #3 (4.1) pg 219 2-14e,15,59

### Ready To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions

Read To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions Find these vocabular words in Lesson 5-1 and the Multilingual Glossar. Vocabular quadratic function parabola verte

### TOPIC 1 Domain and Range

TOPIC 1 Domain and Range NEED HELP? Tr this... Determine the Domain and Range for each of the following: 1. {(3, 4), (-5, -2), (7, 6), (6, 5), (-8, 6)} 2. 3. 4. The DeWind famil lives in a rectangular

### 1. m = 3, P (3, 1) 2. m = 2, P ( 5, 8) 3. m = 1, P ( 7, 1) 4. m = m = 0, P (3, 117) 8. m = 2, P (0, 3)

. Linear Functions 69.. Eercises To see all of the help resources associated with this section, click OSttS Chapter. In Eercises - 0, find both the point-slope form and the slope-intercept form of the

### MATH 110: FINAL EXAM REVIEW

MATH 0: FINAL EXAM REVIEW Can you solve linear equations algebraically and check your answer on a graphing calculator? (.) () y y= y + = 7 + 8 ( ) ( ) ( ) ( ) y+ 7 7 y = 9 (d) ( ) ( ) 6 = + + Can you set

### 2. Domain: The set of all abscissas (x s) of the ordered pairs (abscissa is the first element of an ordered pair)

. Relations and Functions. Relation: A set of ordered pairs E:,4,,5,,, 8,4. The set of all abscissas s of the ordered pairs abscissa is the first element of an ordered pair. Range: The set of all ordinates

### Chapter 9 BUILD YOUR VOCABULARY

C H A P T E R 9 BUILD YUR VCABULARY Chapter 9 This is an alphabetical list of new vocabular terms ou will learn in Chapter 9. As ou complete the stud notes for the chapter, ou will see Build Your Vocabular

### Math 154A Elementary Algebra Fall 2014 Final Exam Study Guide

Math A Elementar Algebra Fall 0 Final Eam Stud Guide The eam is on Tuesda, December 6 th from 6:00pm 8:0pm. You are allowed a scientific calculator and a " b 6" inde card for notes. On our inde card be

### Systems of Linear Equations: Solving by Graphing

8.1 Sstems of Linear Equations: Solving b Graphing 8.1 OBJECTIVE 1. Find the solution(s) for a set of linear equations b graphing NOTE There is no other ordered pair that satisfies both equations. From

### Chapters 8 & 9 Review for Final

Math 203 - Intermediate Algebra Professor Valdez Chapters 8 & 9 Review for Final SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the formula for

### MATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2)

MATH MATH EXIT TEST (MET) SAMPLE (Version /8/08) The actual test will have questions. ) Find the slope of the line passing through the two points. (-, -) and (-, 6) A) 0 C) - D) ) Sketch the line with

### Advanced Algebra 2 Final Review Packet KG Page 1 of Find the slope of the line passing through (3, -1) and (6, 4).

Advanced Algebra Final Review Packet KG 0 Page of 8. Evaluate (7 ) 0 when and. 7 7. Solve the equation.. Solve the equation.. Solve the equation. 6. An awards dinner costs \$ plus \$ for each person making

### ACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED:

ACCELERATED MATHEMATICS CHAPTER 7 NON-PROPORTIONAL LINEAR RELATIONSHIPS TOPICS COVERED: Representing Linear Non-Proportional Equations Slope & -Intercept Graphing Using Slope & -Intercept Proportional

### Essential Question How can you use a scatter plot and a line of fit to make conclusions about data?

. Scatter Plots and Lines of Fit Essential Question How can ou use a scatter plot and a line of fit to make conclusions about data? A scatter plot is a graph that shows the relationship between two data

### CHAPTER 1 Functions, Graphs, and Limits

CHAPTER Functions, Graphs, and Limits Section. The Cartesian Plane and the Distance Formula... Section. Graphs of Equations...8 Section. Lines in the Plane and Slope... Mid-Chapter Quiz Solutions... Section.

### Elementary Algebra FALL 2005 Review for Exam 2

Elementar Algebra FALL 200 Review for Eam 2 1) In a surve of 60 students, the students showed these preferences for instructional materials. Answer the questions. Graph the equation. 6) = 4 + 3 7) 3 +

### Math 115 Spring Break Homework Package Name. . List all

Math Spring Break Homework Package Name Show all work neatl and sstematicall for full credit. Total points: 00 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the

### Part I. Hours

Part I Answer all questions in this part. Each correct answer will receive credits. No partial credit will be allowed. For each question, write on the separate answer sheet the numeral preceding the word

### Skills Practice Skills Practice for Lesson 5.1

Skills Practice Skills Practice for Lesson. Name Date Widgets, Dumbbells, and Dumpsters Multiple Representations of Linear Functions Vocabular Write the term that best completes each statement.. A(n) is

### 8.4. If we let x denote the number of gallons pumped, then the price y in dollars can \$ \$1.70 \$ \$1.70 \$ \$1.70 \$ \$1.

8.4 An Introduction to Functions: Linear Functions, Applications, and Models We often describe one quantit in terms of another; for eample, the growth of a plant is related to the amount of light it receives,

### Maintaining Mathematical Proficiency

Name Date Chapter 5 Maintaining Mathematical Proficienc Graph the equation. 1. + =. = 3 3. 5 + = 10. 3 = 5. 3 = 6. 3 + = 1 Solve the inequalit. Graph the solution. 7. a 3 > 8. c 9. d 5 < 3 10. 8 3r 5 r

### (TPP #3) Test Preparation Practice. Algebra Holt Algebra 1. Name Date Class

Test Preparation Practice Algebra 1 Solve each problem. Choose the best answer for each question and record our answer on the Student Answer Sheet. Figures are not drawn to scale 1. Jack budgets \$35 for

### Semester 2 Practice Exam

Semester 2 Practice Eam 2014-201 1. A right triangle is shown below. What is the value of? (A) 1 (B) 17 (C) 4 (D) 169 12 Figure is not drawn to scale. 4. Which of the following measurements represent a

### Unit 26 Solving Inequalities Inequalities on a Number Line Solution of Linear Inequalities (Inequations)

UNIT Solving Inequalities: Student Tet Contents STRAND G: Algebra Unit Solving Inequalities Student Tet Contents Section. Inequalities on a Number Line. of Linear Inequalities (Inequations). Inequalities

### MATH 021 UNIT 1 HOMEWORK ASSIGNMENTS

MATH 01 UNIT 1 HOMEWORK ASSIGNMENTS General Instructions You will notice that most of the homework assignments for a section have more than one part. Usuall, the part (A) questions ask for eplanations,

### Functions. Essential Question What are some of the characteristics of the graph of an exponential function? ) x e. f (x) = ( 1 3 ) x f.

7. TEXAS ESSENTIAL KNOWLEDGE AND SKILLS A..A Eponential Growth and Deca Functions Essential Question What are some of the characteristics of the graph of an eponential function? You can use a graphing

### Patterns & Graphs FPMath 70 Unit 3 Worksheet

1. The image below shows a pattern of sections from a fence made from boards. a. Sketch the net two sections of the fence: b. Complete the following chart: Fence # (variable) # of boards 1 4 2 7 3 4 5

### *** SAMPLE*** The actual test will have 25 questions (At least 20 will be multiple choice similar to below)

Math 11 MET *** SAMPLE*** The actual test will have 2 questions (At least 20 will be multiple choice similar to below) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers

### Pre-Algebra Semester Exam Review 2016

Pre-Algebra Semester Exam Review 016 Multiple Choice Identif the choice that best completes the statement or answers the question. 1. What kind of number is? rational not a real number irrational natural

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 2) A) Not defined B) - 2 5

Stud Guide for TEST I Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line passing through the given pair of points. )

### What Did You Learn? Key Terms. Key Concepts. 158 Chapter 1 Functions and Their Graphs

333371_010R.qxp 12/27/0 10:37 AM Page 158 158 Chapter 1 Functions and Their Graphs Ke Terms What Did You Learn? equation, p. 77 solution point, p. 77 intercepts, p. 78 slope, p. 88 point-slope form, p.

### 6. The braking distance (in feet) for a car traveling 50 miles per hour on a wet uphill road is given by

MATH 34 - College Algebra Review for Test 3 Section 4.6. Let f ( ) = 3 5 + 4. (a) What is the domain? (b) Give the -intercept(s), if an. (c) Give the -intercept(s), if an. (d) Give the equation(s) of the

### Practice A ( 1, 3 ( 0, 1. Match the function with its graph. 3 x. Explain how the graph of g can be obtained from the graph of f. 5 x.

8. Practice A For use with pages 65 7 Match the function with its graph.. f. f.. f 5. f 6. f f Lesson 8. A. B. C. (, 6) (0, ) (, ) (0, ) ( 0, ) (, ) D. E. F. (0, ) (, 6) ( 0, ) (, ) (, ) (0, ) Eplain how

### Practice Questions for MA 109 Final Exam. (d) 21. (d) , the answer is positive if ( 2 3(7) )

. Simplif: 77 ( 9) + 46 7 + ( 68) Practice Questions for MA 09 Final Exam 47 77. What is the first step in evaluating this expression: 86+ 6 ( ) 4? 86+ 6 ( ) 4 ( ) 6. Which one of the following illustrates

### Analytic Geometry 300 UNIT 9 ANALYTIC GEOMETRY. An air traffi c controller uses algebra and geometry to help airplanes get from one point to another.

UNIT 9 Analtic Geometr An air traffi c controller uses algebra and geometr to help airplanes get from one point to another. 00 UNIT 9 ANALYTIC GEOMETRY Copright 00, K Inc. All rights reserved. This material