AFDA Review of Equations

Transcription

1 Identify the choice that best completes the statement or answers the question. 1. Which expression correctly represents the area of the rectangle above? a. x² + 2 b. 6(x + 2) c. (x + 2)(x + 6) d. 8x 2. Using the same relationship between x and y as the table, what is the value of y when x is 8? x y a. 5 b. -1 c. 3 d Using the function machine in the diagram, what is the output when 12 is input? a. 8.5 b. 7 c. 29 d If f(x) =, what is f(12)? a. 8 b. 14 c. 27 d Using the distance formula, d = rt, what is the value of t when d = 3,520 and r = 550? a. 6.4 b. 1,936,000 c. 2,970 d. 4, A rectangle has a perimeter of 60 inches and length of 22 inches. What is the width of the rectangle? a. 164 in b. 14 in c. 176 in d. 8 in 7. What is the value of x(5 + y) if x = 4 and y = 2? a. 22 b. 28 c. 36 d During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many of each did she sell? a. 45 cars, 24 trucks c. 35 cars, 34 trucks b. 42 cars, 27 trucks d. 48 cars, 21 trucks

2 9. Mary published her first book. She was given $10, and an additional $0.10 for each copy of the book that sold. Her earnings, d, in dollars, from the publication of her book are given by d = 10, n where n is the number of copies sold. During the first year Mary earned $35, from the publication and sale of her book. How many copies of her book sold in the first year? a. 25,000 b. 250,000 c. 350,000 d. 35, Victor bought a computer for $1,800. He made a down payment of $200 and will pay the rest in 5 equal payments. If p represents the amount of each payment, which equation can be used to find this amount? a. $200p = $1,800 c. $1, p = $200 b. $1,800 = 5p + $200 d. $1,800 + $200 = 5p 11. Ben s Bakery charges a fee of 2d + 25 to deliver d boxes of baked goods while Dan s Bakery charges 3d Which expression describes how much more Dan s Bakery charges than Ben s Bakery? a. d + 5 b. 5d + 45 c. -d + 5 d. d Which equation most likely describes the relation indicated by the table? x y a. y = x + 4 b. y = -x + 4 c. y = x - 2 d. y = -x The table shows the relationship between the cost, c, in dollars of a taxi ride and the number, t, of minutes the ride lasts. t c Which equation algebraically represents this data? a. c = t b. c = t c. c = t d. c = t 14. Kristy is making a rectangular quilt that is 2 feet longer than it is wide. If the perimeter of the quilt is to be 32 feet, what will be its dimensions? a. 15 ft by 17 ft b. 5 ft by 7 ft c. 4 ft by 8 ft d. 7 ft by 9 ft

3 15. Using the function machine from the diagram, what is f(10)? a. 7.5 b. 25 c. 5 d Each week Jessica earns a 2% bonus on any sales she makes over $600. She also receives a fixed salary of $190 per week. If Jessica sold $1300 work of merchandise in a week, which equation could be used to determine her total earnings, t, for the week? a. c. b. d. 17. Which expression correctly describes x divided by the sum of y and 7? 18. Which is a zero of the function f(x) = 3x - 21? a. -7 b. -21 c. 7 d What is the solution to? a. 18 b. 10 c. d. 20. What is the value of 3x² - y² if x = -1 and y = 3? a. -3 b. -12 c. 12 d Which expression correctly represents $10 less than twice the cost, c? a c b. c. 2c - 10 d. 10-2c 22. Jill was looking a picture of herself and 3 friends. She measured the height of her image as 10 centimenters. If Jill is acutally 60 inches tall, which equation can she use to find h, the actual height in inches, of one of her friends who is c centimeters tall in the picture? a. h = 6c b. c. h = 10c d.

4 23. What is the solution to? a. -14 b. 14 c. 34 d Which equation fits the data in the table? x y A consulting engineer bills his customers $90 for each hour he works. If a clients bill is $955, which equation could be used to find the number of hours worked? 26. If f(x) = -2x 2 + x - 5, what is f(3)? a. 34 b. -14 c. 16 d The graph of the function f(x) = -3x + 3 is shown. What is the value of f(3)? a. -2 b. -6 c. 0 d The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words? a. 15 minutes b. 4 minutes c. 220 minutes d. 20 minutes

5 29. The table gives the average per capita income, d, in a region of the country as a function of the percent unemployed, u. u d 22,500 22,000 21,500 21,000 Which equation represents this data algebraically? a. c. b. d. 30. Ron paid $75.00 for 5 compact disks and a case. If the price of each compact disk was $12.60, what was the price of the case? a. $12.00 b. $15.00 c. $63.00 d. $ What is the perimeter of the triangle shown in the drawing? 32. Trinas paycheck earnings, p, varies directly as the number of hours, h, she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? a. $ b. $ c. $ d. $ When the input is, what is the output?