# Basic Algebra: Practice Questions ACET

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- The sales price of a car is $ 12,590, which is 20 % off the original price. What is the original price?
- $ 14,310.40
- $ 14,990.90
- $ 15,290.70
- $ 15,737.50
- $ 16,935.80

Answer: d

- Solve the following equation for A: 2A/3 = 8 + 4A
- -2.4
- 2.4
- 1.3
- -1.3
- 0

Answer: a

- If Lee is 6 years older than her sister, Sue, and John is 5 years older than Lee, and the total of their ages is 41. Then how old is Sue?
- 8
- 10
- 14
- 19
- 21

Answer: a

- Alita wants to invest $ 4,000 at 6 % simple interest rate for 5 years. How much interest will he receive?
- $ 240
- $ 480
- $ 720
- $ 960
- $ 1,200

Answer: e

- Jim is able to sell a hand-carved statue for $ 670 which was a 35 % profit over his cost. How much did the statue originally cost him?
- $ 496.30
- $ 512.40
- $ 555.40
- $ 574.90
- $ 588.20

Answer: a

- The city council has decided to add a 0.3 % tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $ 55 before taxes, how much will the city receive in taxes from him?
- 10 cents
- 11 cents
- 15 cents
- 17 cents
- 21 cents

Answer: d

- If Lily can type a page in p minutes, what piece of the page can she do in 5 minutes?
- 5/p
- p − 5
- p + 5
- p/5
- 1 − p + 5

Answer: a

- If Larry can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
- 2 hours and 24 minutes
- 3 hours and 12 minutes
- 3 hours and 44 minutes
- 4 hours and 10 minutes
- 4 hours and 33 minutes

Answer: a

- Employees of a discount appliance store receive an additional 20 % off of the lowest price on an item. If an employee purchases a dishwasher during a 15 % off sale, how much will he pay if the dishwasher originally cost $ 450?
- $ 280.90
- $ 287
- $ 292.50
- $ 306
- $ 333.89

Answer: d

- A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a B in the art class, an A in the history class, a C in the science class, a B in the mathematics class, and an A in the science lab. What was his GPA if the letter grades are based on a 4 point scale (A = 4, B = 3, C = 2, D = 1, F = 0) ?
- 2.7
- 2.8
- 3.0
- 3.1
- 3.2

Answer: c

- Ben arrived at work at 8: 15 A. M. And left work at 10: 30 P. M. If Ben gets paid by the hour at a rate of $ 10 and time and for any hours worked over 8 in a day. How much did Ben get paid?
- $ 120.25
- $ 160.75
- $ 173.75
- $ 180
- $ 182.50

Answer: c

- Lily worked 22 hours this week and made $ 132. If she works 15 hours next week at the same pay rate, how much will she make?
- $ 57
- $ 90
- $ 104
- $ 112
- $ 122

Answer: b

- If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
- 12
- 25
- 33
- 47
- 86

Answer: c

- You need to purchase a textbook for MBA school. The book cost $ 80.00, and the sales tax where you are purchasing the book is 8.25 % . You have $ 100. How much change will you receive back?
- $ 5.20
- $ 7.35
- $ 13.40
- $ 19.95
- $ 21.25

Answer: c

- You purchase a car making a down payment of $ 3,000 and 6 monthly payments of $ 225. How much have you paid so far for the car?
- $ 3225
- $ 4350
- $ 5375
- $ 6550
- $ 6398

Answer: b

- Grace has 16 apples in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of apples she must take out of her pocket to ensure that she has one of each color?
- 4
- 8
- 12
- 13
- 16

Answer: d

- If r = 5 z then 15 z = 3 y, then r =
- y
- 2 y
- 5 y
- 10 y
- 15 y

Answer: a

- If 300 apples cost you x dollars. How many apples can you purchase for 50 cents at the same rate?
- N/A
- 150x
- 6x
- N/A
- 1500x

Answer: a

- Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse՚s station. Pens are purchase in sets of 6 for $ 2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?
- $ 132.85
- $ 145.75
- $ 162.90
- $ 225.25
- $ 226.75

Answer: a

- If y = 3, then y3 (y3 − y) =
- 300
- 459
- 648
- 999
- 1099

Answer: c