Basic Algebra

1.

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

  • A. 5/p
  • B. p - 5
  • C. p + 5
  • D. p/5
  • E. 1- p + 5

2.

If Sally 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?

  • A. 2 hours and 24 minutes
  • B. 3 hours and 12 minutes
  • C. 3 hours and 44 minutes
  • D. 4 hours and 10 minutes
  • E. 4 hours and 33 minutes

3.

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?

  • A. $280.90
  • B. $287
  • C. $292.50
  • D. $306
  • E. $333.89

4.

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

  • A. $14,310.40
  • B. $14,990.90
  • C. $15,290.70
  • D. $15,737.50
  • E. $16,935.80

5.

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

  • A. -2.4
  • B. 2.4
  • C. 1.3
  • D. -1.3
  • E. 0

6.

If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?

  • A. 8
  • B. 10
  • C. 14
  • D. 19
  • E. 21

7.

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

  • A. $240
  • B. $480
  • C. $720
  • D. $960
  • E. $1,200

8.

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?

  • A. $496.30
  • B. $512.40
  • C. $555.40
  • D. $574.90
  • E. $588.20

9.

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?

  • A. 10 cents
  • B. 11 cents
  • C. 15 cents
  • D. 17 cents
  • E. 21 cents

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)

  • A. 2.7
  • B. 2.8
  • C. 3.0
  • D. 3.1
  • E. 3.2

11.

Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon 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 Simon get paid?

  • A. $120.25
  • B. $160.75
  • C. $173.75
  • D. $180
  • E. $182.50

12.

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

  • A. 4
  • B. 8
  • C. 12
  • D. 13
  • E. 16

13.

If r = 5 z then 15 z = 3 y, then r =

  • A. y
  • B. 2 y
  • C. 5 y
  • D. 10 y
  • E. 15 y

14.

If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?

  • A. 150/x
  • B. 150x
  • C. 6x
  • D. 1500/x
  • E. 600x

15.

Lee 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?

  • A. $57
  • B. $90
  • C. $104
  • D. $112
  • E. $122

16.

If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

  • A. 12
  • B. 25
  • C. 33
  • D. 47
  • E. 86

17.

You need to purchase a textbook for nursing 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?

  • A. $5.20
  • B. $7.35
  • C. $13.40
  • D. $19.95
  • E. $21.25

18.

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?

  • A. $3225
  • B. $4350
  • C. $5375
  • D. $6550
  • E. $6398

19.

Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased 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?

  • A. $132.85
  • B. $145.75
  • C. $162.90
  • D. $225.25
  • E. $226.75

20.

If y = 3, then y3(y3-y)=

  • A. 300
  • B. 459
  • C. 648
  • D. 999
  • E. 1099