Algebra

1
Algebra

• Practice Problems for Review

2
1

• Evaluate 4r 22 if r 20
• A. -2
• B. 2
• C. 58
• D. 398

3
2

• Chale bought some packages of pens. He bought one
  package containing 5 pens and n packages
  containing 2 pens each. Which of the following
  expressions could be used to find the total
  number of pens that Chale bought?
• A. 7n B. 10n
• C. 5n 2 D. 2n 5

4
3

• Which expression has the same value as 6(-6 3)
  (-3)?
• A. 6(3) (-3)
• B. 6(-3) (-3)
• C. 6(-6) 3 (-3)
• D. 6(-6) 6(3) 6(-3)

5
4

• Betty is making pizza using pepperoni, mushrooms,
  and black olives. She uses 3 fewer pieces of
  pepperoni than black olives and 3 times as many
  black olives as mushrooms. She uses 16 mushrooms
  on the pizza. How many pieces of pepperoni will
  she use?
• A. 16 B. 25
• C. 45 D. 48

6
5

• Which is the value of x in the equation?
• 2x 5 31
• A. 36
• B. 26
• C. 18
• D. 13

7
6

• If what happens to y as x
  increases?
• A. y increases
• B. y decreases
• C. y remains the same
• D. Not enough information is given

8
7

• Which mathematical expression means 7 more than
  the product of 3 and x?

9
8

• George is making hamburgers. The amount of meat
  needed for each hamburger is lb. Which
  expression shows how many hamburgers George can
  make from n pounds of meat?

10
9

• Which number belongs in the box to make the
  number sentence true?
• 8(? - 3) 16
• A. 11
• B. 5
• C. 2
• D. -5

11
10

• Edwina bought a book for 13. She now has 47.
  How much money did Edwina have before she bought
  the book?
• A. 21
• B. 34
• C. 60
• D. 73

12
11

• The cost of the field trip bus is to be shared
  equally by all 25 students on the bus. If the bus
  costs 57.50, how much does each student have to
  pay?
• A. 2.29
• B. 2.30
• C. 2.31
• D. 2.32

13
12

• Which operation described below would eliminate
  the fractions in the equation shown?
• A. multiply each term by 14
• B. divide each term by 21
• C. multiply each term by 21
• D. divide each term by 14

14
13

• Given the equation y 2x 3, how does changing
  the value of x, affect the value of y?
• A. As x increases by 1, y doubles
• B. As x increases by 1, y increases by three
• C. As x increases by 1, y increases by two
• D. As x increases by 1, y doubles and increases
  by three

15
14

• What type of graph has direct variation?
• A. linear
• B. quadratic
• C. decay
• D. cubic

16
15

• In what quadrant would the point (3, -2) be
  plotted?
• A. quadrant I
• B. quadrant II
• C. quadrant III
• D. quadrant IV

17
16

• Which equation corresponds to the given table of
  values?
• A. y -x 1
• B. y 2x 14
• C. y -0.5x 3
• D. y -0.5x 1.5

X Y
-5 4
-3 3
-2 2.5
3 0
5 -1
18
17

• If a point had a negative x coordinate and a
  negative y coordinate, what quadrant would it be
  located in?
• A. quadrant I
• B. quadrant II
• C. quadrant III
• D. quadrant IV

19
18

• Sally biked at a constant rate of 3 miles per
  hour. If Sally were to graph her bike ride, what
  characteristics would the line on her graph have?
• A. up and to the left
• B. up and to the right
• C. down and to the left
• D. down and to the right

20
19

• For every dollar Oscar earns, he saves 0.12.
  Oscar has saved 41.40. How much has Oscar
  earned?
• A. 41.28
• B. 41.52
• C. 345.00
• D. 4,968.00

21
20

• Which expression BEST represents the phrase?
• Three times a number plus seven
• A. 3(7) x
• B. 3(x) 7
• C. 3(x) 7
• D. 3(7) x

22
21

• Chris starts with x dollars in his bank account.
  He withdraws half of the amount and then deposits
  3 times the original amount back into his
  account. Finally he withdraws half of the money
  in the account. Which expression represents the
  amount of money that is currently in his account?
• A. 3.5x B. 4.5x
• C. 3.5x 2 D. 4.5x 2

23
22

• Each day a town received (2x 1) inches of rain.
  How much rain did the town receive in 4 days?
• A. (6x 1) inches
• B. (6x 5) inches
• C. (8x 1) inches
• D. (8x 4) inches

24
24

• Apples cost 3x. Oranges cost (x 6). Which
  expression represents the cost to buy one apple
  and five oranges?
• A. 8x 6
• B. 8x 30
• C. 4x 11
• D. 4x 30

25
25

• Clare has 5(2 x) dollars. She wants to buy 3
  shirts. Each shirt costs (x 8) dollars. Which
  expression represents how much money Clare will
  have left after buying the shirts?
• A. 2x 14
• B. 2x 2
• C. 4x 2
• D. 2x 34

26
26

• Bethanys family can eat (13h 6) hotdogs.
  Clarks family can eat (10h 3) hotdogs. Which
  expression shows the difference between the
  number of hotdogs Bethanys family can eat and
  the number of hotdogs Clarks family can eat?
• A. 3h 9 B. 3h 3
• C. -3h 9 D. -3h 3

27
27

• Which phrase BEST represents the expression?
• A. subtract twenty-seven from the quotient of
  seventeen and a number
• B. subtract the quotient of seventeen and a
  number from twenty-seven
• C. divide seventeen minus twenty-seven by a
  number
• D. divide seventeen by a number minus twenty-seven

28
28

• What is the value of
• (5x 2y 19) (9y 7x 10)?
• A. 26xy
• B. 23xy 9
• C. 14x 9y 9
• D. 12x 11y 9

29
29

• Leah and Zack earned (d) dollars an hour for each
  hour they worked. Leah worked 29 hours. Zack
  worked 36 hours. Which expression represents the
  combined amount of money Leah and Zach earned?
• A. 7d B. 65d
• C. 7 d D. 65 d

30
30

• Which phrase BEST represents the expression?
• A. subtract two thirds of a number from three
  fourths
• B. two thirds of a number minus three fourths
• C. the quotient of two thirds of a number minus
  three fourths
• D. the product of two thirds of a number plus
  three fourths

31
31

• Two consecutive, even integers sum to 98. Find
  the smaller number.
• A. 46
• B. 48
• C. 50
• D. 52

32
32

• The sides of a triangle measure x 2, x 5, and
  x 7, respectively. If the perimeter is 47
  inches, what is the length of the largest side?
• A. 11 inches
• B. 13 inches
• C. 16 inches
• D. 18 inches

33
33

• Solve for x.
• 5x 39.3 64.8
• A. 4.8
• B. 5
• C. 5.1
• D. 20.82

34
34

• If the line containing the points in the
• chart is plotted on a coordinate plane,
• what should the graph look like?

35
35

• Last season, Ellen and Janet together won 32
  tennis matches. Ellen won 6 more matches than
  Janet. How many matches did Ellen win?
• A. 13
• B. 16
• C. 19
• D. 25