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Unit 6 Mid Review

Total questions: 70

Worksheet time: 4hrs 36mins

Name
Class
Date
1.
Solve the equation
a)
d = 3
b)
d = 7
c)
d = -7
d)
d = -3
2.
Solve the equation
a)
x = 4
b)
x = -4
c)
x = 2
d)
x = -2
3.
Solve the equation
a)
k = 18
b)
k = 4
c)
k = 5
d)
k = -18
4.
Solve the equation
a)
p = -11
b)
p = 11
c)
p = 37
d)
p = 9
5.
Solve the equation
a)
b = 9
b)
b = 11
c)
b = 23
d)
b = 8
6.
Solve the equation
a)
m = 7⁄30
b)
m = 13⁄30
c)
m = 3⁄6
d)
m = 3⁄11
7.
Solve the equation
a)
r = 12
b)
r = 2
c)
r = 4
d)
r = 32
8.
Solve the equation
a)
n = 21
b)
n = 3
c)
n = 4
d)
n = 20
9.
Solve the equation
a)
t = 2
b)
t = 4 
c)
t = 6
d)
t = 1
10.
Solve the equation
a)
p = 3
b)
p = 5
c)
p = 4
d)
p = -3
11.

Diego has 7 packs of markers. Each pack has "x" markers in it. After Lin gives him 9 more markers, he has a total of 30 markers.

How many markers are in each pack? Hint..write an equation and solve for "x"

a)

21

b)

7

c)

3

d)

9

12.

What equation represents this tape diagram?

a)

2 - 5x = 19

b)

2 + 5x = 19

c)

19 + x = 2

d)

2 + x = 19

13.

Solve for "x" in this tape diagram

a)

9.5

b)

9

c)

4.5

d)

4

14.

8 = b + 4

a)

1

b)

2

c)

3

d)

4

15.

12 = 6 + d

a)

2

b)

4

c)

6

d)

8

16.

4d = 16

a)

4

b)

12

c)

24

d)

64

17.

r – 42 = 60

a)

18

b)

92

c)

102

d)

112

18.
a)

6

b)

12

c)

24

d)

14

19.
a)

100

b)

200

c)

300

d)

400

20.

Which equations represent the tape diagram below?

a)

t + 15= 25

b)

15 - t = 25

c)

t - 15 = 25

d)

15 + 25 = t

21.

Which equations represent the tape diagram below?

a)

105 - 56 = q

b)

q - 56 = 105

c)

105 + 56 = q

d)

56 + q = 105

22.

Which equations represent the tape diagram below?

a)

9 - 5 = b

b)

b + 5 = 9

c)

b - 9 = 5

d)

5 + 9 = b

23.

Which equations represent the tape diagram below?

a)

54 + p = 7

b)

p - 54 = 7

c)

54 - 7 = p

d)

p + 7 = 54

24.

Which equations represent the tape diagram below?

a)

12 + 5 = p

b)

5 + p = 12

c)

12 - p = 5

d)

p - 12 = 5

25.

Which equations represent the tape diagram below?

a)

9 + r = 7

b)

r + 7 = 9

c)

9 - 7 = r

d)

7 - 9 = r

26.

Which equations represent the tape diagram below?

a)

5 + 18 = r

b)

18 + r = 5

c)

r - 5 = 18

d)

18 - r = 5

27.

Which equations represent the tape diagram below?

a)

u+ 16 = 204

b)

16 + 204 = u

c)

204 - u = 16

d)

u - 16 = 204

28.

Which equations represent the tape diagram below?

a)

w + 47 = 25

b)

47 + 25 = w

c)

w - 47 = 25

d)

47 - 25 = w

29.

Which equations represent the tape diagram below?

a)

45 + 22 = x

b)

x - 45 = 22

c)

45 - 22 = x

d)

x + 45 = 22

30.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

31.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. How much did the tree grow?

a)

1.75 feet

b)

22 feet

c)

112 feet

d)

6 feet

32.
Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.
a)
d/4=$11.13
b)
4d=$11.13
c)
d/5=$11.13
d)
5d=$11.13
33.
Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.
a)
18c=6
b)
c + 6= 18
c)
c +18 = 6
d)
3c=18
34.
Working together, Joy and Steve collected 53 pounds of aluminum cans for recycling. If Joy collected 20 pounds, find the number of pounds, x, that Steve collected. Using x as your variable write an equation to solve.
a)
20x=53
b)
x-20=53
c)
x-53=20
d)
x+20=53
35.
How many packages of diapers can you buy with $40 if one package costs $8? (What is the unknown and what would be the equation?)
a)
n= # of diapers; 8n = 40
b)
n= # of packages; 8n = 40
c)
n= # of packages; 8 - n = 40
d)
n= # of packages; 8/n = 40
36.
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? (What is the unknown and what would be the equation?)
a)
n=amount of $ Trevon received; 29 - n = 41
b)
n=# of days; 29 + n = 41
c)
n=amount of $ Trevon received; 29 + n = 41
d)
n=amount of $ Trevon received; 29 + n = 40
37.
After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad? (What is the unknown and what would be the equation?)
a)
n=amount of $ he had at 1st; n + $5.12 = $27.10
b)
n=amount of $ he had at 1st; n - $5.12 = $27.10
c)
n=cost of the salad; n - $5.12 = $27.10
d)
n=amount of $ he had at 1st; $5.12 - n = $27.10
38.
Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112? 
a)
14h = 112
b)
14 / h = 112
c)
h + 14 = 112
d)
h - 14 = 112
39.

Evaluate

12h = 108

a)

h= 96

b)

h= 10

c)

h= 9

d)

h = 50

40.

WRITE AN EQUATION

After paying $7.12 for a Zaxby's meal, Coach Rice has $27.10. How much money did he have before buying the meal?

a)

27.10+7.12=x

b)

27.10-7.12=x

c)

x-7.12=27.10

d)

7.12+x=27.10

41.

Evaulate.

12 + y = 38

a)

y = 50

b)

y= 17

c)

y= 26

d)

y= 27

42.

WRITE AN EQUATION

At a restaurant, Coach Carpenter and three of his friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

a)

4x=13

b)

x/3=13

c)

13(4)=x

d)

x/4=13

43.

Oranges cost $2 per pound. How many pounds of oranges can you buy for $20?

a)

a/2 = 20

b)

2a = 20

c)

20/a = 2

d)

2/a = 20

44.
Todd caught three times as many fish this year than last year. He caught 63 fish this year. Which algebraic equation represents how many fish he caught last year? 
a)
3f = 63
b)
63 - 3 = f
c)
63/3 = f
d)
3 + f = 63
45.
If one roll of masking tape costs $1.15, how many rolls can Emma buy  with $5.75?
a)
1.15(5.75) = x
b)
5.75x = 1.15
c)
1.15x = 5.75
d)
x = 1.15/ 5.75
46.
Ashley finds masking tape in packages of 4 rolls for $4.32. What is the cost of one roll in  the package?
a)
4x = 4.32
b)
4.32x = 4
c)
4(4.324) = x
d)
4/ 4.32 = x
47.
Jalen's employer has $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?
a)
4.50x = 18
b)
18/04.50 = x
c)
18x = 4.50
d)
4.50(18) = x
48.
What is the price of one extension cord if Chulo can buy a  package of 6 for $7.26?
a)
7.26x = 6
b)
6x = 7.26
c)
7.26(6) = x
d)
6 = 7.26/ x
49.
Each pair of socks costs $2.50. if Ella buys 6 pairs, how much does she pay?
a)
6x = 2.50
b)
2.50 = 6x
c)
6 = 2.50x
d)
2.50(6) = x
50.

Andrew has saved $55 toward the purchase of an IPod. The IPod costs $145. Which equation represents the amount Andrew needs to save to by the IPod?

a)

55 + x = 145

b)

145x = 55

c)

55 - x = 145

d)

145 (55) = x

51.
Saucy is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need?
a)
7 + 2 = x
b)
x = 2 + 7
c)
2(7) = x
d)
2 + x = 7
52.
Last Friday Cicely had $22.50. Over the weekend she received some money for cleaning out the attic. She now has $32. Which equation represents how much money she received?
a)
22.50/ x = 32
b)
32/ 22.50 = x
c)
22.50 + x = 32
d)
32 - x = 22.50
53.

Breanna went to the mall and spent $35.00 on shoes. When she she got home she had $40.00 in her purse. which equations can be used to find the amount of money she started with?

a)

x - 35.00 = 40.00

b)

40.00 + 35.00 = x

c)

35.00x = 40.00

d)

40.00x = 35.00

54.
In a regular pentagon, all of the interior angles are equal in measure. The sum of the angle measure 540o Which equation can be used to find the measure of each angle (hint a pentagon has 5 angles)?
a)
5(540) = x
b)
5/540 = x
c)
5x = 540
d)
x = 540(5)
55.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

56.
What is the sum of 14 and x?
a)
x - 14
b)
14(x)
c)
14 + x
d)
14/x
57.
What is the quotient of sixteen and a number?
a)
n ÷ 6
b)
6 ÷ n
c)
n ÷ 16
d)
16 ÷ n
58.
What is a number decreased by seventeen?
a)
n + 17
b)
n - 17
c)
17 + n
d)
17 - n
59.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
60.
twice h increased by 5
a)
2 + h + 5
b)
h ∙ h + 5
c)
5 ∙ h ∙ 2
d)
2h + 5
61.

the product of y and 7

a)

y(7)

b)

y ∙ 7

c)

y + 7

d)

7y

62.
u decreased by 17
a)
17 - u
b)
u - 17
c)
u + 17
d)
u ÷ 17
63.
half of a number, c
a)
c ÷ 2
b)
½ ÷ c
c)
c ÷ ½ 
d)
c + ½
64.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
65.
a number cubed plus 8
a)
n ∙ 4 + 8
b)
n2 + 8
c)
n3 + 8
d)
n + n + n + 8
66.
Write the phrase as an expression.
twice a number x plus 8
a)
2 + 8x
b)
2x + 8
c)
2(x+8)
d)
8(2+x)
67.
Write an algebraic expression for the following.
Divide m by 7, and then subtract 4 from the quotient.
a)
1/4m  -7
b)
(m/7) - 4
c)
m-7 + 4
d)
7m + 4
68.
half of a number, c
a)
c - 2
b)
½ ÷ c
c)
 ½c
d)
c + ½
69.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
70.
Which expression means:
15 miles less than Debbie
a)
d + 15
b)
d - 15
c)
15 - d
d)
15 + d

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