**MATH PLACEMENT PRACTICE TEST – ALGEBRA PRACTICE TEST**

##### 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?

- $120.25
- $160.75
- $173.75
- $180.00
- $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?

- 4
- 8
- 12
- 13
- 16

##### 13. If r = 5 z then 15 z = 3 y, then r =

- y
- 2y
- 4y
- 10y
- 15y

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

- 150/x
- 150x
- 6x
- 1500/x
- 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?

- $57
- $90
- $104
- $112
- $122

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

- 12
- 25
- 33
- 47
- 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?

- $5.20
- $7.35
- $13.40
- $19.95
- $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?

- $3225
- $4350
- $5375
- $6550
- $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?

- $132.85
- $145.75
- $162.90
- $225.25
- $226.75

##### 20. If y = 3, then y^{3}(y^{3}-y)=\)

- 300
- 459
- 648
- 999
- 1099

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###### 11. C

From 8:15 A.M. to 4:15 P.M., he gets paid $10 per hour, with the total amount paid represented by the equation, $10*8=$80. From 4:15 P.M. to 10:30 P.M., he gets paid $15 per hour, with the total amount paid represented by the equation, $15*6.25=$93.75. The sum of $80 and $93.75 is $173.75, so he was paid $173.75 for 14.25 hours of work.

###### 12. D

If she removes 13 jellybeans from her pocket, she will have 3 jellybeans left, with each color represented. If she removes only 12 jellybeans, green or blue may not be represented.

###### 13. A

The value of z may be determined by dividing both sides of the equation, r=5z, by 5. Doing so gives r/5=z. Substituting r/5 for the variable, z, in the equation, 15z=3y, gives 15(r/5)=3y. Solving for y gives r = y.

###### 14. A

50 cents is half of one dollar, thus the ratio is written as half of 300, or 150, to x. The equation representing this situation is 300/x*1/2=150/x.

###### 15. B

The following proportion may be used to determine how much Lee will make next week: 22/132=15/x. Solving for x gives x = 90. Thus, she will make $90 next week, if she works 15 hours.

###### 16. C

The given equation should be solved for x. Doing so gives x = 6. Substituting the x-value of 6 into the expression, 5x + 3, gives 5(6) + 3, or 33.

###### 17. C

The amount you will pay for the book may be represented by the expression, 80+(80*0.0825). Thus, you will pay $86.60 for the book. The change you will receive is equal to the difference of $100 and $86.60, or $13.40.

###### 18. B

The amount you have paid for the car may be written as $3,000 + 6($225), which equals $4,350.

###### 19. A

You will need 40 packs of pens and 3 sets of staplers. Thus, the total cost may be represented by the expression, 40(2.35) + 3(12.95). The total cost is $132.85.

###### 20. C

Substituting 3 for y gives 3^{3}(3^{3}-3), which equals 27(27 – 3), or 27(24). Thus, the expression equals 648.

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