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Unit 5 Review

Total questions: 142

Worksheet time: 4hrs 1mins

Name
Class
Date
1.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
2.

The y- axis is the ___________________ number line in the coordinate plane.

a)

Vertical

b)

Diagonal

c)

Horizontal

d)

origin

3.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
4.

In the table, Bubbles is the ______________.

a)

independent variable

b)

dependent variable

5.

Sophie earned $5 for every A she got on her report card.


m = money

A = A on report card


The dependent variable is:

a)

m = money

b)

A = A on report card

6.

Which of the following is the label for the independent variable.

a)

Money Collected

b)

Raising Money

c)

Boxes Sold

d)

None of the above

7.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
8.
Independent means
a)
an amount that can stand on its own
b)
an amount that depends on another amount
9.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
10.
Which label best describes the independent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
11.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
12.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
13.

Jimmy earned $8 for every pizza he delivers.


m = money (dollars)

p = number of pizzas delivered


The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

14.

Emma gets one sticker for every paper she completes.


s = stickers earned

p = papers completed


The independent variable is:

a)

s = stickers earned

b)

p = papers completed

15.

Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?

a)

m = 12h

b)

m = 12 + h

c)

h = 12m

d)

h = 12 + m

16.

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

a)

the independent variable is distance

b)

the independent variable is d=25 t

c)

the dependent variable is time

d)

the dependent variable is distance

17.

Ms. Shi is making a scrapbook. As she adds more photos, the scrapbook grows thicker.


p = the number of photos added

t = the thickness of the scrapbook

a)

t is the independent variable and p is the dependent variable

b)

p is the independent variable and t is the dependent variable

18.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
19.
Is the picture showing an additive or a multiplicative relationship?
a)
Additive
b)
Multiplicative
20.

Each pizza at Pizza Hut, p, costs $5.50. Which of the following equations best represents the cost, c, of buying p, pizzas?

a)

m = 5.50 + c

b)

c = 5.50 + m

c)

p = 5.50m

d)

c = 5.50p

21.

Molly harvests mushrooms in the forests of Oregon and then sells them to local restaurant chefs. The greater the weight of the mushrooms, the greater their value.

w = the weight of the mushrooms

v = the value of the mushrooms

a)

v is the independent variable and w is the dependent variable

b)

w is the independent variable and v is the dependent variable

22.
Solve the following equation
X + 8 = 15
a)
23
b)
-7
c)
7
d)
-23
23.
Solve the following equation
1 + a = 15
a)
14
b)
16
c)
12
d)
- 16
24.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
25.
Solve the following equation
X + 8 = 15
a)
23
b)
-7
c)
7
d)
-23
26.
Solve the following equation
1 + a = 15
a)
14
b)
16
c)
12
d)
- 16
27.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
28.
Solve the following equation
18 = 3b
a)
15
b)
6
c)
21
d)
54
29.
Solve the following equaiton
+5 = 2 + n
a)
3
b)
10
c)
7
d)
-3
30.
Solve the following equation
14m = 28
a)
2
b)
14
c)
32
d)
1/2
31.
- 3 = n - 11
a)
-14
b)
8
c)
-8
d)
14
32.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
33.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
34.
Solve the equation:
1/2x = 6
a)
x = 12
b)
x = -12
c)
x = 3
d)
x = -3
35.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
36.
Solve the equation:
x - 4 = -3
a)
x = -7
b)
x = 1
c)
x = 12
d)
x = -12
37.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
38.
r - 18 = 27
a)
-45
b)
45
c)
-9
d)
9
39.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
40.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
41.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
42.

Find the value of the variable: m + 4 = 12

a)

16

b)

8

c)

48

d)

3

43.

Find the value of the variable: m - 4 = 12

a)

16

b)

8

c)

48

d)

3

44.

Find the value of m: m5 = 10\frac{m}{5}\ =\ 10  

a)

2

b)

5

c)

50

45.

Find the value of m: 5m = 10

a)

50

b)

2

c)

5

46.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

47.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

48.

5 + c = 8

a)

3

b)

13

c)

5

d)

8

49.

c - 5 = 8

a)

3

b)

13

c)

5

d)

8

50.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

51.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

52.

Find the value of a: 12 = 4a

a)

48

b)

3

c)

8

53.

Find the value of a: 12 = a412\ =\ \frac{a}{4}  

a)

48

b)

3

c)

8

54.

Find the value of the variable: 12x = 10\frac{1}{2}x\ =\ 10  

a)

5

b)

20

c)

4

55.

Find the value of the variable: k - 2.14 = 85

a)

82.86

b)

2.99

c)

87.14

56.

Find the value of the variable:  8 =k2.5Find\ the\ value\ of\ the\ variable:\ \ 8\ =\frac{k}{2.5}  

a)

5

b)

10

c)

20

57.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
58.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

59.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

60.

Which choice models this situation?


Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

61.
Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
62.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.


Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

63.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
64.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
65.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
66.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
67.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
68.

Which choice models this situation?


Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

69.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
70.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
71.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

72.

a mathematical sentence stating that two expressions are equal

a)

term

b)

coefficient

c)

equation

d)

variable

73.
What is the definition of a variable?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number with no variable
74.
Pairs of operations that undo each other
a)
inverse operations
b)
solution
c)
inequality
75.
To solve an equation, the goal is to __________ the variable on one side.
a)
Evaluate
b)
Leviate
c)
Isolate
d)
Reciprocate
76.
What are inverse operations?
a)
Absolute values
b)
Opposite operations used in isolating a variable
c)
Operations used for only inequalities
d)
Unknown quantity represented by a letter or symbol
77.

Select the following basic rules used for solving one step equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the inverse operation

78.

In the equation

x + 7 = 12

7 is being added to the variable, x.

How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.

The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

79.

16=k1116=\frac{k}{11}  

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11

c)

Add 11 to both sides

d)

Subtract 11 to both sides

80.

Solve for x in the following equation:

20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

81.

Solve for y in the following equation:

y3 =12\frac{y}{3\ }=12  

a)

36

b)

-36

c)

4

d)

-4

82.

Solve for z in the following equation:

z - 33 = 147

a)

z = 114

b)

z = 177

c)

z = 180

d)

no solution

83.

The inverse operation of addition is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

84.

The inverse operation of subtraction is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

85.

The inverse operation of multiplication is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

86.

The inverse operation of division is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

87.

The FIRST step to solving one step equations is ????????

a)

Use the inverse on both sides to solve

b)

identify the variable

c)

find out the operation in the problem

88.

The SECOND step to solving one step equations is ????????

a)

Use the inverse on both sides to solve

b)

identify the variable

c)

find out the operation in the problem

89.

The THIRD step to solving one step equations is ????????

a)

Use the inverse on both sides to solve

b)

identify the variable

c)

find out the operation in the problem

90.

SOLVE 10=z+6

(a)  

91.

8y = 48

(a)  

92.

q - 12 = 1

(a)  

93.

18a218\equiv\frac{a}{2}  

(a)  

94.

Solve for h in the following equation:

0 = 4h

a)

h = 4

b)

h = 1

c)

h = -4

d)

h = 0

95.

What equation matches this situation?

Q: Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not given

96.

What is the mathematical term for a number that has the numerator and denominator flipped?

a)

opposite

b)

recipient

c)

reciprocity

d)

reciprocal

97.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
98.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
99.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
100.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
101.
Simplify the following expression
7 - 8c + 3 - 6c 
a)
-10+14c
b)
-25
c)
10-14c
d)
25c
102.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
103.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
104.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
105.

Simplify the Expression:


3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

106.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
107.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
108.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
109.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

110.

-3x + 11y - 4x

a)

7x + 11y

b)

-7x + 11y

c)

7x - 11y

d)

4xy

111.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

112.
3b + b - 2b 
a)
3b
b)
b
c)
2b
113.
2f + f
a)
3f
b)
2f
c)
f
114.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
115.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
116.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
117.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
118.

5(2x + 3)

a)

10x + 3

b)

10x + 15

c)

25x

d)

7x + 8

119.

10( b + 3)

a)

10b + 30

b)

30b

c)

10b + 3

d)

10b - 3

120.
Collect like terms: 
4y + 8d - 2y + 3d
a)
11d + 6y
b)
11d + 2y
c)
6y + 5d
121.

Simplify: 20n + 4 + 5 + 7n

a)

36n

b)

24n + 2n

c)

27n + 9

d)

24n + 12

122.
5x - 10
a)
coefficient 
b)
terms
c)
variables
d)
constant
123.
3y + 5
a)
term 
b)
variable 
c)
coefficient
d)
constant
124.
2x 3y 5x = 75
a)
coefficeient
b)
constant
c)
terms
d)
variables
125.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
126.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
127.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
128.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
129.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
130.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
131.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
132.
Simplify the expression
a)
7y+77
b)
7y-77
c)
7y-11
d)
y-77
133.
Simplify the expression
a)
10x + 65
b)
5x + 13
c)
10x + 13
d)
2x + 65
134.
Simplify the expression
a)
42m - 72
b)
49m - 60
c)
42m - 60
d)
42m - 12
135.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

136.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
137.
a)
6x+6
b)
5x+18
c)
6x+12
d)
6x+18
138.

What do the parentheses tell you to do?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

139.
What does it mean to distribute?
a)
To multiply the numbers inside the parentheses by the number on the outside.
b)
To add all of the numbers together.
c)
To do the order of operations.
140.

Simplify the expression by using the Distributive Property:


3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

141.

Simplify the expression by using the Distributive Property:


8(2x + 7)

a)

16x + 7

b)

16x + 56

c)

16x + 15

d)

8x + 7

142.

Identify the error:

1) 2(x - 4)

2) 2x - 4

a)

They did not add 2 and -4.

b)

They did not subtract 2 and -4.

c)

They did not divide 2 and -4.

d)

They did not multiply 2 and -4.