Name: 06 Algebra Final Exam Review-GL Period:. A regular polygon s perimeter is a multiple of the side length. For a square, the relationship between the perimeter, p, and the side length, s, is described by the function p = 4s. Which statement is true? A The number of sides of a polygon is dependent on the perimeter. B The side length of a square is dependent on the perimeter. C The perimeter of a square is dependent on the number of sides. D The perimeter of a square is dependent on the side length.. Cassie burns 78 calories an hour working out. She works out days a week for anywhere between one and four hours. Which statement best represents the relationship between the amount of time Cassie works out and the number of calories she burns? A The number of calories burned depends on the amount of time worked out. B There is an inverse relationship. C The amount of time worked out depends on the number of calories burned. D There is no relationship. 3. A function is described by the equation y = 3x + x, in which y is dependent on x. If a value for the independent variable is chosen from the set { 3,,, 0, } which of the following would be a corresponding dependent value? A 4 B 6 C 0 D 0 4. The length (l) and width (w) of three similar rectangles are shown in the table. Which function represents the relationship between the width and length of each rectangle? A B w 0. 3l C w 3l w l D w l 3. The cost of placing an advertisement in a school annual is shown in the table below. Which equation best describes the relationship between the total cost, c, and the number of words, w? A c = 4.4 + 0.08w B c = 0.8w C c =. + 0.3w D c =. + 0.4w 6. Which of the following functions is linear? A f ( x) x 3 B f ( x) 4x x 3 C f ( x) x D f ( x) 4x 3x
7. The table below shows the various values for x and y. Which equation best describes the relationship between x and y? A y = x 3 B y = 3x C y = 3x 9 D y = x 6 8. Which function includes the data set {(4, 4), (6, ), (0, 7)}? A y 3x 4 B 3 y x C y 4x 6 D y x 9. Which of the following sets does not represent a function? A {(0, ) (0, ) (, ) (, 3)} B {(0, ) (, 0) (, ) (, 3)} C {(, 0) (0, ) (, ) (3, )} D {(0, ) (, 0) ( 3, ) (, 0)} 0. The function f(x) = {(, 4), (, 8), (3, ), (4, 6)} can be represented in several other ways. Which is NOT a correct representation of the function f(x)? B y = 4x and the domain is {,, 3, 4} D x is a natural number less than and y is four times the negative of x. a. What is the range of the function? A y C y B y 6 D y 7 b. What is the domain of the function? A 4 x 4 B x C All Real Numbers D x
. What is the domain of the function f(x)= x + 3 when the range is {3,, 9}? A {0,, 3} B {, 3, } C {6, 0, 8} D {9, 3, } 3. The graph defines a relation. What is the domain of the relation? A {,,,,, } B {,, 0,, } C {(, ), (0, ), (, 0), (0, ), (, )} D {(, ), (, 0), (0, ), (, 0), (, )} 4. What is the range of the function f(x) = x 3 when the domain is {, 0, 4}? A { 3,, 3} B { 7, 3, 3} C {, 3, } D {, 0, 4}. Thomas collected data on the sales of CDs versus the sales of cassette tapes for the years 999, 000, 00, and 00. If he plots the data on a scatter plot, what relationship will he most likely see between sales of CDs and cassette tapes? A A negative correlation B No correlation C A positive correlation D A constant correlation 6. The algebraic form of a linear function is p = 3 t, where p is the sales price and t is the regular price of a pair of shoes. Which of the following choices identifies the same linear function? A p: {3, 4, 6} B c D t: {4, 6, 8} 7. Which table identifies points on the line produced by the equation x y = 7? (transform to y = mx + b)
8. Which mapping best represents the function y = x + 4 when the replacement set for x is {0,, 4}? 9. Jeremiah wanted to buy drinks for his party. He charted out the cost and quantity of buying drinks so he could stay within his budget. Which graph shows the same information as the chart? 0. The net profit, p, that the company makes from producing cell phones is represented by the equation p = 3.x 7,00, where x is the number of cell phones the company sells. What is the best interpretation of this equation? A The company must sell 7,00 cell phones to make a profit. B The company must sell 3. cases of cell phones to make a profit. C The company must sell more than,000 cell phones to make a profit. D The company sells a case of cell phones for $7.0.
. The table presents selected values of a functional relationship between x and y. Based on the information in the table, which statement is true? A y = x C y < x B y > x D y < x +. Match the answer choice to the sentence: Three times a number is one less than four times the number. A 3n 4n B 3n 4n C 7n - D none of these 3. Jeremiah s family rented a car when they flew to Los Angeles for a -day vacation. They paid $9 per day and $0. for each mile driven. How much did it cost to rent the car for days and drive 400 miles, not including tax? A $70.0 B $4.0 C $6.00 D $89.00 4. The sides of a rectangle have a length of x and a width of 3x. What is the perimeter of the rectangle? A x 9 B 0x C x 6 3x + D x 8 x +. Solve the following equation: x ( 3x ) 0 A B -9 C - D 4 6. Simplify the expression 3(x + ) (3x + 7). A 3x B 3x 0 C 3x 8 D 3x + 7 7. A student tried to solve the following equation but made a mistake. Step : 4 -(x - 3) + 4x= 4 Step : 4 - x + 6 + 4x = 4 Step 3: x + 0 = 4 Step 4: x = 34 Step : x = 7 In which step did the mistake first appear? A Step B Step 3 C Step 4 D Step
8. Simplify the following expression: 6x 0y + 7 ( x 3y ) A x 30y + 4 B 8x 7y + 9 C 8x 3y + D 4x 3y + 9. A change in the tax code requires all non profit organizations to provide itemized receipts for donors who give more than $0 per year. So far this year Lisa has donated $90 to the American Heart Association. Which inequality could Lisa use to find M, the amount of additional money she could donate without having to receive an itemized receipt? A 0 90 M B 90 + M 0 C 90 + M < 0 D 90 + M > 0 30. Simplify the expression (x ) + (x 3). Show all work. A 4x 3 B 3x - 7 C 4x + D 3x 7 3. If (., y) is a solution to the equation x 3y = 9, what is the value of y? Show all work. A 4 B C.3 D 3. The solution for the equation x + 3y = 36 is (x, ). What is the value of x? Show all work. A 30 B C D 6 33. Which of the following will always produce an odd integer for any given integer? A n + B n + C n D n 34. The pattern of dots shown below continues infinitely with more dots being added at each step. (make a table) Which expression can be used to find the number of dots in the nth step? A n(n + ) B (n + ) C n(n + ) D n
3. What is the equation of the line going through the points (,-3) and (4,6)? (find slope- or use your calc on y = ) A y = 3x + 0 B y x C y = 3x - 6 D y = -3x + 3 Choose the graph that would be represent the situation for problems 36-37 36. The air temperature increased steadily for several hours and then remained constant. At the end of the day the temperature increased slightly again before dropping sharply. A Graph A B Graph B C Graph C 37. Angie s heart rate is being monitored while she exercises on a treadmill. As she begins her workout, her heart rate remains constant until she beings to sprint. She tires quickly and slows down immediately. She beings to walk and her heart rate levels off again. A Graph A B Graph B C Graph C 38. James has $0 to spend at the lake. He rents a boat for $.00 plus $0 for each hour. Which equation shows how much money, m, James will have after, h, hours renting the boat? A m = 0 + 0h B m = 0 + 0h C m = 0 + 0h D m = 0 ( + 0h) 39. A river raft rental company charges $.00 for the first hour, and $0.7 for each additional hour. Which equation best represents the total cost, c, for renting a river raft for h hours? A c = (.00 +.7)h B c =.00h +.7(h ) C c =.00 +.7h D c =.00 +.7(h ) 40. An electrician charges $4 for each home visit plus $9.9 every hour he spends working. Which sentence could be used to find C, the cost in dollars for v, number of house visits, and h, hours? A C = 4v + 9.9h B C = 4h + 9.9v C C = (4 + 9.9)(v + h) D C = (v + h)9.9 + 4
4. Which of the following ordered pairs is either the x- or y-intercept of the function x y =? A (, 0) B (, 0) C (0, ) D (, 0) 4. Which line has a negative slope? What is the slope? A Line A C Line C A B B Line B D Line D C 43. Which line has an Undefined Slope? What is the equation? A Line A C Line C B Line B D Line D D 44. Which equation describes a line that has a y-intercept (b) = and slope (m) = 3? A y = x + 3 B y = x 3 C y = 3x + D y = x 3 4. Which graph represents a Linear Function? Quadratic Function? 46. What is the rate of change (slope) of the graph below? A C B D
47. Find the slope of the line that contains the coordinate points (6, ) and ( 4, 3). A B C D 4 0 8 6 4-0 -8-6 -4-4 6 8 0-48. Each table below lists ordered pairs. Which table identifies points contained in a line with a slope of? -4-6 -8-0 49. What is the equation of a line with slope m = and though the point (-, 7)? A y x 7 B y x 9 C y x D y x 0. Re-Write the equation in y = mx + b form so that you can find the slope of the line identified by x = (3 3y)? A 3 B C 3 3 D 3. Mr. Dial owns a paving company. The amount he charges to put pavers down is dependent on the area of ground being covered. The table shows this relationship. What is a reasonable amount of money Mr. Dial would charge for laying 800 square feet of pavers? A $3,00 B $3,40 C $3,600 D $3,70
. What is the y intercept of the line graphed below? A ( 4, 0) C (0, ) B (0, 4) D (, 0) 3. What are the coordinates of the x-intercept of the equation: ( x 4y) 3? A (0, 4) B (4, 0) C (-6, 0) D (-64, 0) 4. The graph of a line is shown below. If the slope of this line is multiplied by 3 and the y-intercept increases by 4 units, which linear equation represents these changes? A 3 3 y x C y x 3 4 4 B y 6x D y x 4. The amount an employee s weekly pay, p, including a bonus can be represented by the inequality.00h 7 p.0h 00, where h represents the number of hours worked by the employee. If an employee worked 60 hours, which of the following is a reasonable amount for that week s pay excluding any overtime pay? A $700 B $6 C $40 D $374 6. What is the slope of the line identified by (x 6y)? A B 3 6 C D 6
7. Which graph shows y x? 3 B. A. C. 8. A clothing company produces 84 t-shirts, t, per hour and 386 polo shirts, p, per hour. Which equation shows the number of hours needed to produce at least 980 t-shirts? A 84t 386p 980 B 84t 386p 980 C 84t 980 D 386 p 980 9. Which best describes the effect on y = x if the slope changes to? A The graph becomes less steep B The graph makes a complete rotation C The graph moves up unit D The graph rotates to the left 60. Find the equation of a line going through the point (,) that is parallel to the given line. A y x 3 B y x 3 C y 3x D y x 4 6. What is the equation of the line graphed? A y x B y x C y x D y x 0 8 6 4-0 -8-6 -4-4 6 8 0 - -4-6 -8-0 0 8 6 4-0 -8-6 -4-4 6 8 0 - -4-6 -8-0
6. Which line is perpendicular to y x 9? (Pay attention to the slope) y x 7 b. y x c. y x 0 d. y x 63. If the slope of the equation 4 y x 4 is changed to and the y-intercept is changed to (0, 4), which 4 statement best describes the situation? A The new line is parallel to the original line B The new line and the original line have the same y-intercept C The new line is perpendicular to the original line D The new line and the original line have the same x-intercept 64. Which compound inequality does the graph represent? A. -3 < x < 3 B. x > -3 C. x -3 D. -3 x 3 6. Solve this compound inequality. 7 x 3 3 A. - < x < B. - < x < 8 C. - < x < 8 D. - < x < 66. Which graph represents the solutions of t? a. b. c. d