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Worksheets

Mixed Review 20221107

Total questions: 169

Worksheet time: 8hrs 27mins

Name
Class
Date
1.

Evaluate 2x−12x-1   when x=−2x=-2  

(a)  

2.

Evaluate −3n+11-3n+11   when   n=3n=3  

(a)  

3.

Evaluate 1+5m1+5m   when m=−9m=-9  

(a)  

4.

Evaluate 8−6c8-6c   when c=−2c=-2  

(a)  

5.

Evaluate 2(x−5)+92\left(x-5\right)+9   when x=−1x=-1  

(a)  

6.

Evaluate −4(−x−2)+7-4\left(-x-2\right)+7   when x=3x=3  

(a)  

7.

Evaluate 3x−53x-5   when x=−2x=-2  

(a)  

8.

Evaluate −2n+10-2n+10   when n=3n=3  

(a)  

9.

Evaluate 10+7m10+7m   when m=−9m=-9  

(a)  

10.

Evaluate 9−4c9-4c   when c=−2c=-2  

(a)  

11.

Evaluate 3(x−9)+13\left(x-9\right)+1   when x=−1x=-1  

(a)  

12.

Evaluate −6(−x−1)+5-6\left(-x-1\right)+5   when   x=3x=3  

(a)  

13.

Evaluate (−x−2)2+5\left(-x-2\right)^2+5   when   x=3x=3  

(a)  

14.

Evaluate 6−(x+1)26-\left(x+1\right)^2   when   x=−7x=-7  

(a)  

15.

Evaluate x2+x−3x^2+x-3   when   x=3x=3  

(a)  

16.

Evaluate x2+x−3x^2+x-3   when   x=−3x=-3  

(a)  

17.

The graph of a linear function is shown on the grid. Which function is best represented by this graph?

a)

y=23x−3y=\frac{2}{3}x-3  

b)

y=32x−4y=\frac{3}{2}x-4  

c)

y=−3x+4y=-3x+4  

d)

y=−3x+23y=-3x+\frac{2}{3}  

18.

In math vocabulary, the word value means...

a)

a number

b)

an item that is on sale

c)

a price

d)

none of these

19.

In math vocabulary, the word evaluate means...

a)

Get a number as your final answer.

b)

Get a variable as your final answer.

c)

When a boss gives an employee their feedback for the past year.

d)

None of these.

20.

In math vocabulary, the word substitute means...

a)

To replace a variable with its number value

b)

When the teacher is absent.

c)

Something you shouldn't accept.

d)

Doing nothing.

21.

In math class, the word variable refers to:

a)

a term that contains a letter

b)

a term that contains no letters

c)

a negative integer

d)

a positive integer

22.

In math class, the word constant refers to:

a)

a term that contains a letter

b)

a term that contains no letters

c)

a negative integer

d)

a positive integer

23.

In math class, the word distribute refers to:

a)

multiplication and division

b)

addition and subtraction

c)

the lastest edition of a book

d)

none of these

24.

In math class, the word combining refers to:

a)

multiplication and division

b)

addition and subtraction

c)

the lastest edition of a book

d)

none of these

25.

What is the coefficient of

xx  

a)

an implied 1

b)

0

c)

x

d)

none of these

26.

What is another way to say, "Distribute and Combine Like Terms?"

a)

simplify

b)

solve

c)

exemplify

d)

illustrate

27.

What is the difference between an expression and an equation?

(Answer with a complete sentence.)

4 lines
28.

Distribute and Combine Like Terms:

−2(5x−9)+7-2\left(5x-9\right)+7  

(a)  

29.

Distribute and Combine Like Terms:

−8(7x−10)+1-8\left(7x-10\right)+1  

(a)  

30.

Distribute and Combine Like Terms:

3+2(x−7)3+2\left(x-7\right)  

(a)  

31.

Distribute and Combine Like Terms:

3−(5x+10)3-\left(5x+10\right)  

(a)  

32.

Distribute and Combine Like Terms:

−5x+10(3x−4)-5x+10\left(3x-4\right)  

(a)  

33.

Distribute and Combine Like Terms:

x−(2x+8)x-\left(2x+8\right)  

(a)  

34.

Distribute and Combine Like Terms:

3x+x(x−4)3x+x\left(x-4\right)  

(a)  

35.

Distribute and Combine Like Terms:

2x(−4+5x)−3x2x\left(-4+5x\right)-3x  

(a)  

36.

Distribute and Combine:

−2(a−3)+3(a−9)-2\left(a-3\right)+3\left(a-9\right)  

(a)  

37.

Distribute and Combine:

−5(n−1)+7(n+9)-5\left(n-1\right)+7\left(n+9\right)  

(a)  

38.

Distribute and Combine:

5n(n−1)+4(n+3)5n\left(n-1\right)+4\left(n+3\right)  

a)

5n2−n+125n^2-n+12  

b)

5n2+n−125n^2+n-12  

c)

6n2+126n^2+12  

d)

4n+124n+12  

39.

Distribute and Combine Like Terms:

−4(3x−7)+12-4\left(3x-7\right)+12  

(a)  

40.

Distribute and Combine Like Terms:

−2(9x−3)+1-2\left(9x-3\right)+1  

(a)  

41.

Distribute and Combine Like Terms:

6+2(4x−5)6+2\left(4x-5\right)  

(a)  

42.

Distribute and Combine Like Terms:

5−6(7x−9)5-6\left(7x-9\right)  

(a)  

43.

Distribute and Combine Like Terms:

5x−2(3x−4)5x-2\left(3x-4\right)  

(a)  

44.

Distribute and Combine Like Terms:

−x−(x+1)-x-\left(x+1\right)  

(a)  

45.

Distribute and Combine Like Terms:

2+3(x−5)+2x2+3\left(x-5\right)+2x  

(a)  

46.

Distribute and Combine Like Terms:

6−2(b−4)+5b6-2\left(b-4\right)+5b  

(a)  

47.

Distribute and Combine Like Terms:

1−(n−2)+10n1-\left(n-2\right)+10n  

(a)  

48.

Distribute and Combine Like Terms:

4c−(3c−8)+104c-\left(3c-8\right)+10  

(a)  

49.

Distribute and Combine Like Terms:

−3(x−7)+4-3\left(x-7\right)+4  

(a)  

50.

Distribute and Combine Like Terms:

2+3(x−8)2+3\left(x-8\right)  

(a)  

51.

Distribute and Combine Like Terms:

b−(4b+9)b-\left(4b+9\right)  

(a)  

52.

Distribute and Combine Like Terms:

7+5(p−1)+8p7+5\left(p-1\right)+8p  

(a)  

53.

Distribute and Combine:

−4(n−3)+6(n+2)-4\left(n-3\right)+6\left(n+2\right)  

(a)  

54.

Distribute and Combine:

−(m−1)+(m+2)-\left(m-1\right)+\left(m+2\right)  

(a)  

55.

Distribute and Combine:

−2(2w−7)+6(w+1)-2\left(2w-7\right)+6\left(w+1\right)  

(a)  

56.

Explain how to Distribute and Combine Like Terms in the following expression:

−2(5x−9)+7-2\left(5x-9\right)+7  

(For this expression, I would distribute and combine like terms. First, I would... Second, ... The outcome would be...)

4 lines
57.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
58.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
59.
What is the x- intercept of the line?
a)
x = 1
b)
x = 2
c)
x = -1
d)
x = -2
60.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
61.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
62.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

63.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

64.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
65.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)
b)
c)
d)
66.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)
b)
c)
d)
67.
Given the list of ordered pairs, what is the x-intercept?
(8,10),  (3, -4),  (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
68.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
69.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
70.
Given the table of values, which point is a y-intercept?
a)
-6
b)
38
c)
44
d)
32
71.

Given the list of ordered pairs, what is the y-intercept?

(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

10, -4, 8, -3, 0

c)

(0,8)

d)

(9,0)

72.

Which of the following graphs has a negative slope?

a)
b)
c)
d)
73.

Which of the following graphs has a positive slope?

a)
b)
c)
d)
74.

A linear function is represented on the graph shown. What is the slope of the function?

a)

m = 1

b)

m = -1

c)

m = 3

d)

m = -3

75.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

76.

A linear function is represented on the graph shown. What is the slope of the function?

a)

m = 1

b)

m = -1

c)

m = 2

d)

none of these

77.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

78.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

79.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

80.

A linear function is represented on the graph shown. What is the slope of the function?

(a)  

81.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

82.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

83.

A linear function is represented on the graph shown. What is the slope of the function?

(a)  

84.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

85.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

86.

A linear function is represented on the graph shown. What is the slope of the function?

(a)  

87.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

88.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

89.

A linear function is represented on the graph shown. What is the slope of the function?

(a)  

90.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

91.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

92.

A linear function is represented on the graph shown. What is the slope of the function?

(a)  

93.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

94.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

95.

A linear function is represented on the graph shown. What is the slope of the function?

(a)  

96.

A linear function is represented on the graph shown. What is the behavior of the function?

a)

The function is increasing from left to right.

b)

The function is decreasing from left to right.

97.

A linear function is represented on the graph shown. What type of slope does the function display?

a)

The function has a positive slope.

b)

The function has a negative slope.

98.

Which letter represents the slope?

a)

m

b)

b

c)

y

d)

x

99.

Which letter represents the y-intercept?

a)

m

b)

b

c)

y

d)

x

100.

Which letter represents the input?

a)

m

b)

b

c)

y

d)

x

101.

Which letter represents the output?

a)

m

b)

b

c)

y

d)

x

102.

What is the slope?

y=2x−5y=2x-5  

(a)  

103.

What is the slope?

y=x+3y=x+3  

(a)  

104.

What is the slope?

y=35x−1y=\frac{3}{5}x-1  

(a)  

105.

What is the slope?

y=−52x−13y=-\frac{5}{2}x-\frac{1}{3}  

(a)  

106.

What is the slope?

y=−2y=-2  

(a)  

107.

What is the slope?

y=xy=x  

(a)  

108.

What is the y-intercept?

y=−xy=-x  

(a)  

109.

What is the y-intercept?

y=2x−5y=2x-5  

(a)  

110.

What is the y-intercept?

y=x+3y=x+3  

(a)  

111.

What is the y-intercept?

y=35x−1y=\frac{3}{5}x-1  

(a)  

112.

What is the y-intercept?

y=−52x−13y=-\frac{5}{2}x-\frac{1}{3}  

a)

−13-\frac{1}{3}  

b)

−52-\frac{5}{2}  

c)

52\frac{5}{2}  

d)

13\frac{1}{3}  

113.

What is the y-intercept?

y=−2y=-2  

(a)  

114.

What is the y-intercept?

y=xy=x  

(a)  

115.

What is the slope?

y=−xy=-x  

(a)  

116.

The table shown represents a linear function.

Which equation best represents the function?

a)

y=x+4y=x+4  

b)

y=x−4y=x-4  

c)

y=−4xy=-4x  

d)

y=4−xy=4-x  

117.

The table shown represents a linear function.

Which equation best represents the function?

a)

y=3x−3y=3x-3  

b)

y=−3−3xy=-3-3x  

c)

y=3−3xy=3-3x  

d)

y=−3x+3y=-3x+3  

118.

The table shown represents a linear function.

Which equation best represents the function?

a)

y=23x−2y=\frac{2}{3}x-2

b)

y=23x+2y=\frac{2}{3}x+2

c)

y=−2x−1y=−2x−1

d)

y=2x+1y=2x+1

119.

The table shown represents a linear function.

Which equation best represents the function?

a)

y=2x+4y=2x+4  

b)

y=2x−4y=2x-4  

c)

y=2y=2  

d)

y=4y=4  

120.

Solve for x:

9+x=−39+x=-3  

(a)  

121.

Solve for x:

−7+x=11-7+x=11  

(a)  

122.

Solve for x:

x−1=−10x-1=-10  

(a)  

123.

Solve for x:

9−x=−39-x=-3  

(a)  

124.

Solve for x:

7−x=57-x=5  

(a)  

125.

Solve for x:

−7−x=5-7-x=5  

(a)  

126.

Solve for x:

−9=−1+x-9=-1+x  

(a)  

127.

Solve for x:

−1=x+5-1=x+5  

(a)  

128.

Solve for x:

20=x−1220=x-12  

(a)  

129.

Solve for x:

−x=5-x=5  

(a)  

130.

Solve for x:

x−9=−1x-9=-1  

(a)  

131.

Explain how you would solve for x:

9+x=−39+x=-3  

(To solve this equation for x, first I would...... Second, I would...... Third, I would..... The solution will be.....)

4 lines
132.

Solve for x

2x=62x=6  

(a)  

133.

Solve for x

−2x=6-2x=6  

(a)  

134.

Solve for x

−2x+7=6-2x+7=6  

(a)  

135.

Solve for a

−6a+7=13-6a+7=13  

(a)  

136.

Solve for a

−7a−2=−10-7a-2=-10  

(a)  

137.

Solve for b

−3+23b=6-3+\frac{2}{3}b=6  

(a)  

138.

Solve for b

−1−57b=1-1-\frac{5}{7}b=1  

(a)  

139.

Solve for b

−1−57b=0-1-\frac{5}{7}b=0  

(a)  

140.

Solve for c

19=17−35c19=17-\frac{3}{5}c  

(a)  

141.

Solve for c

−5=5+12c-5=5+\frac{1}{2}c  

(a)  

142.

Solve for c

−5=5−12c-5=5-\frac{1}{2}c  

(a)  

143.

What is the slope?

(a)  

144.

What is the slope?

(a)  

145.

What is the slope?

(a)  

146.

What is the slope?

(a)  

147.

What is the slope?

(a)  

148.

What is the slope?

(a)  

149.

What is the slope?

(a)  

150.

What is the slope?

(a)  

151.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

(a)  

152.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

(a)  

153.

What is the value of m?

(hint: m is the slope!)

(a)  

154.

Find the value of m.

(hint: m is the slope!)

(a)  

155.

What is the slope?

(a)  

156.

Find the slope.

(a)  

157.

Solve for x:

2x+3=x−12x+3=x-1  

(a)  

158.

Solve for b:

3−5b=6b+73-5b=6b+7  

(a)  

159.

Solve for g:

2(g+1)+1=4g−32\left(g+1\right)+1=4g-3  

(a)  

160.

Solve for x:

−3(x−5)−10=−7x+1-3\left(x-5\right)-10=-7x+1  

(a)  

161.

Solve for x:

2+4(x+5)=3(4−x)+52+4\left(x+5\right)=3\left(4-x\right)+5  

(a)  

162.

Solve: 5x + 15 = 10x - 40

(a)  

163.

Solve: -2x + 18 = 2x + 40

(a)  

164.

Solve: 4x - 3 = 6x - 19

(a)  

165.

Solve: 12x + 1 = 6x - 47

(a)  

166.

Solve for x:
4(1-x) + 3x = -2(x+1)

(a)  

167.

Solve:
5y + 34 = -2(-7y+1)

(a)  

168.

Solve:

−(h−3)+50=16+7(h+9)-\left(h-3\right)+50=16+7\left(h+9\right)  

(a)  

169.

Solve:

−2(9+3x)−1=−4(6x+9)+5-2\left(9+3x\right)-1=-4\left(6x+9\right)+5  

(a)  

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