# Basic Algebra: Practice Questions IAS

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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 ½ 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