# Basic Algebra: Practice Questions Competitive Exams

1. The sales price of a car is $12, 590, which is 20% off the original price. What is the original price? 1.$14, 310.40

2. $14, 990.90 3.$15, 290.70

4. $15, 737.50 5.$16, 935.80

2. Solve the following equation for A: 2A/3 = 8 + 4A

1. -2.4

2. 2.4

3. 1.3

4. -1.3

5. 0

3. 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?

1. 8

2. 10

3. 14

4. 19

5. 21

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

2. $480 3.$720

4. $960 5.$1, 200

5. 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? 1.$496.30

2. $512.40 3.$555.40

4. $574.90 5.$588.20

6. 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? 1. 10 cents 2. 11 cents 3. 15 cents 4. 17 cents 5. 21 cents Answer: d 7. If Lily can type a page in p minutes, what piece of the page can she do in 5 minutes? 1. 5/p 2. p − 5 3. p + 5 4. p/5 5. 1 − p + 5 Answer: a 8. 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? 1. 2 hours and 24 minutes 2. 3 hours and 12 minutes 3. 3 hours and 44 minutes 4. 4 hours and 10 minutes 5. 4 hours and 33 minutes Answer: a 9. 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?

1. $280.90 2.$287

3. $292.50 4.$306

5. $333.89 Answer: d 10. 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)? 1. 2.7 2. 2.8 3. 3.0 4. 3.1 5. 3.2 Answer: c 11. 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 ½ for any hours worked over 8 in a day. How much did Ben get paid?

1. $120.25 2.$160.75

3. $173.75 4.$180

5. $182.50 Answer: c 12. 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?

1. $57 2.$90

3. $104 4.$112

5. $122 Answer: b 13. If 8x + 5x + 2x + 4x = 114, the 5x + 3 = 1. 12 2. 25 3. 33 4. 47 5. 86 Answer: c 14. 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? 1.$5.20

2. $7.35 3.$13.40

4. $19.95 5.$21.25

15. 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?

1. $3225 2.$4350

3. $5375 4.$6550

5. $6398 Answer: b 16. 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? 1. 4 2. 8 3. 12 4. 13 5. 16 Answer: d 17. If r = 5 z then 15 z = 3 y, then r = 1. y 2. 2 y 3. 5 y 4. 10 y 5. 15 y Answer: a 18. If 300 apples cost you x dollars. How many apples can you purchase for 50 cents at the same rate? 1. N/A 2. 150x 3. 6x 4. N/A 5. 1500x Answer: a 19. 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?

1. $132.85 2.$145.75

3. $162.90 4.$225.25

5. \$226.75

20. If y = 3, then y3 (y3 − y) =

1. 300

2. 459

3. 648

4. 999

5. 1099