Algebra Final Exam Review Semester 1

Transcription

1 Name: Hour: Algebra Final Exam Review Semester. Evaluate: when (P98 #7) 6. TOLL ROADS A toll road charges trucks a toll of $ per axle. Write an expression for the total toll for a truck. (P #6). DVD STORAGE A DVD storage sleeve has the shape of a square with an edge length of inches. What is the area and perimeter of the sleeve? (P #) In 7 and 8, write an equation or an inequalit. 7. The product of and the difference of a number r and is 7. (p98 #). Evaluate: (P98 #6) 8. The difference of a number q and 8 is greater than 0 and less than. (P98 #). FOOD PREPARATION.You bu tomatoes at $.9 per pound and peppers at $.99 per pound to make salsa. Write an expression for the total cost of the ingredients. Then find the total cost of pounds of tomatoes and pounds of peppers. (P7 #7) 9. CAR TRAVEL One car travels about 8. miles on each gallon of gas. Suppose the average price of gas is $ per gallon. About how much would the gas for a 978 mile trip cost? (P #6). SCHOOL SUPPLIES You purchase some notebooks for $.9 each and a package of pens for $.9. Write an expression for the total amount (in dollars) that ou spend. (P #7) 0. The domain of the function =.x + is,, 6, and 8. Make a table for the function. Identif the range of the function. (P98 #)

2 . Graph the function. ; domain:,,, and (P98 #) Identif the terms, like terms, coefficients, and constant terms of the expression (P97 Guided Practice #) terms: like terms: coefficients: constants: x. Use the distributive propert to write an equivalent expression.: (P99 #). PARKING GARAGES The bottom level of a parking garage has an elevation of - feet. The top level of the garage is 00 feet higher. What is the elevation of the top level? (P78 #) 6. Find the perimeter and area of the rectangle. (P99 #). Describe and correct the error in finding the product. Use complete sentences and math vocabular to show a clear understanding. (P9 #) = = = 7. Find the perimeter and area of the triangle.

3 8. The area A of a triangle is given b the In -, solve the equation. Check our solution. formula where b is the base h is the height. Solve the formula for the height h. Use the rewritten formula to find the height of the triangle shown, which has an area of 6. square meters. (P8 Example #). (P90 #0). (P90 #9). (P90 #) 9. Simplif the expression. (P #) 0. TEMPERATURES The low temperatures for Montreal Quebec, in Canada on Februar for each ear during the period are -6.7 F, -. F,. F, -.6 F, and 0. F. Find the mean of the temperatures. (P #). CAR REPAIR Tler paid $ to get his car repaired. The total cost for the repairs was the sum of the amount paid for parts and the amount paid for labor. Tler was charged $76 for parts and $ per hour for labor. Write an equation and solve to find the amount of time it took to repair his car. (P #8). Evaluate: when x =00 (p #9) 6. Find the value of x for the rectangle. Perimeter = 6 meters (P #)

4 In 7 and 8, solve the proportion. Check our solution.. Make a table of values and graph the equation. (P9 #) 7. (P90 #0) 8. (P90 #) x 9. SURVEY A surve asked 0 students to name their favorite pasta dish. Find the percent of students who chose Fettuccine Alfredo. (P78 Guided Practice #9) Tpe of Pasta Students Spaghetti 8 Lasagna 0 Macaroni and cheese Fettuccine Alfredo Baked Ziti 6 Pasta primavera Other. Graph the equation. (P9 #) x 0. Plot the points on a coordinate plane. Name the location of each point. K(-, -) L(, 0) M(, -) N(-, ) (P9 #-) K:. Find the x-intercept and -intercept of the graph of the equation. Write our answers as ordered pairs. (P9 #9) x L : M: N:

5 . Find the slope of the line that passes through the points. (-, 0) and (, -) (P9 #8) 8. Determine which lines, if an, are parallel. Line a: Line b: Line c:. AMUSEMENT PARK The table shows the amount of time spent at an amusement park and admission fee the park charges. Find the rate of change in the fee with respect to time spent at the park and interpret its meaning. (P0 #0) Admission fee Time (hours) (dollars) VACATION TIME At one compan the amount of vacation v (in hours) an emploee earns varies directl with the amount of time t (in weeks) he or she works. An emploee who works weeks earns hours of vacation. (P8 #) a. Write a direct variation equation that relates t and v. b. How man hours of vacation time does an emploee earn in 8 weeks? 6. Identif the slope and -intercept of the line with the given equation. (P9 #) 0. Graph the function. (P9 #8) 7. Graph the equation using slope and intercept. (P9 #) 6 x 6 6 x 6

6 . Write an equation of the line shown. (P87, #0). Write an equation in point-slope form of the line that passes through the given points. (P9, #8) (0, -), (, -6). GYM MEMBERSHIP A gm charges $ per month after an initial membership fee. A member has paid a total of $0 after 6 months. Write an equation that gives the total cost of a gm membership as a function of the length of membership (in months). Find the total cost of membership after 0 months. (P9, Guided Practice #). Write the equation in slope intercept form of the line that passes through the given points. (P9, #) (, -), (-, ). Graph the equation. (P9, #) Write an equation in standard form of the line that passes through the given points. (P9, #) (, -), (-, ) x

7 7. You are buing ribbon to make costumes for a school pla. Organza ribbon (x) costs $.07 per ard. Satin ribbon () costs $.0 per ard. Write an equation in standard form to model the possible combinations of ards of organza ribbon and ards of satin ribbon ou can bu for $. Then, list two possible combinations. (P7, #7) 0. Write the inequalit represented b each graph. a. b. c. 8. Determine which lines, if an, are parallel or perpendicular. (P, #) d. Line a: x = Line b: x + = - Line c: x = 0. Translate the verbal phrase into an inequalit. Then graph the inequalit. a. All real numbers that are greater than or equal to - and less than 9 9. The table shows the approximate home range size of big cats in their natural habitat and the percent of time that the cats spend pacing in captivit. (P0 #6) b. All real numbers that are less than or equal to -8 or greater than a. Make a scatter plot of the data b. Describe the correlation of the data Big cat Lion Jaguar Leopard Tiger Pacing Home range size (sq. km) Pacing (% of time) H. range

8 In and, solve the inequalit and graph the solution.. 7 8n n 7 In 6 and 7, solve the inequalit. (Do not need to graph our solution < 6z 0 <0 0. You spend $6 on supplies to make wooden ornaments and plan to sell the ornaments for $8.0 each. What are the possible numbers of ornaments that ou can sell in order for our profit to be positive? Write an inequalit and solve. Interpret our solution.. Solve the absolute value equation. = 6