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Worksheets

Unit 11 Review

Total questions: 177

Worksheet time: 4hrs 54mins

Name
Class
Date
1.

Click on the name of the red part of the algebraic expression:


42 + 2x -7

a)

coefficient

b)

variable

c)

base

d)

power

2.

Click on the name of the red part of the algebraic expression:


4 (x-2) -12

a)

constant

b)

variable

c)

coefficient

d)

exponent

3.

Click on the name of the red part of the algebraic expression:


42 + 2x -7

a)

variable

b)

constant

c)

base

d)

coefficient

4.

Click on the name of the red part of the algebraic expression:


42 + 2x -7

a)

power

b)

base

c)

coefficient

d)

variable

5.

Click on the name of the red part of the algebraic expression:


42 + 2x -7

a)

constant

b)

variable

c)

coefficient

d)

term

6.

How many terms are in this expression?


42 + 2x -7

a)

1

b)

2

c)

3

d)

4

7.

Select the expression

a)

2x + 3 = 8

b)

2 + 3 = 5

c)

x + 4 = 7

d)

x + 14 - 32

8.

Select the expression that is numeric

a)

100 - 122 + 5

b)

2z - 4

c)

14 - w

d)

2s + 22

9.

Select the expression that is algebraic

a)

6 + 14 - 2

b)

27 = 12 + 5x

c)

93 - p

d)

100 - 52

10.

How many variable terms are in the expression:

12 + n2\frac{n}{2} - 3n

a)

1

b)

2

c)

3

d)

4

11.

A (a)   is a number that is used as a factor when that number is raised to a power.

12.

What is a coefficient in an algebraic expression?

a)

A number that indicates how many times the base is used as a factor

b)

A number whose value does not change

c)

A number that is multiplied by the variable

d)

A letter or symbol used to represent a quantity that can change

13.

A (a)   is a number in an expression whose value does not change.

14.

What are equivalent expressions?

a)

Expressions with different variables raised to different exponents

b)

Expressions with different values for all values of the variable

c)

Expressions with the same value for all values of the variable

d)

Expressions that contain only numbers and operations

15.

What does it mean to evaluate an expression?

a)

To find the value of a numerical or algebraic expression

b)

To simplify an expression by combining like terms

c)

To find the coefficient of a variable in an expression

d)

To find the base of an expression

16.

What is an exponent in algebraic expressions?

a)

A number that indicates how many times the base is used as a factor

b)

A number that is used as a factor

c)

A letter or symbol used to represent a quantity that can change

d)

A number whose value does not change

17.

What are like terms in algebraic expressions?

a)

Terms with different variables raised to different exponents

b)

Terms with the same variables raised to the same exponents

c)

Terms with different values for all values of the variable

d)

Terms with different coefficients

18.

What is a numerical expression?

a)

An expression with different variables raised to different exponents

b)

An expression with different values for all values of the variable

c)

An expression that contains only numbers and operations

d)

An expression that contains at least one variable

19.

What is a term in algebraic expressions?

a)

The number that is multiplied by the variable in an algebraic expression

b)

The parts of an expression that are added or subtracted

c)

A number whose value does not change

d)

A number that indicates how many times the base is used as a factor

20.

A (a)   is a letter or symbol used to represent a quantity that can change.

21.

An (a)   is an expression that contains at least one variable.

22.

Match the following

a)

algebraic expression

1.

has at least one variable

b)

coefficient

2.

multiplied by the variable

c)

constant

3.

value does not change

d)

evaluate

4.

find the answer to

e)

like terms

5.

same variable and exponent

23.

Match the following

a)

term

1.

parts of an expression

b)

variable

2.

a letter used to represent a number

c)

numerical expression

3.

contains only numbers and operations

d)

exponent

4.

tells how many bases to multiply

e)

equivalent expressions

5.

expressions with the same value

24.

An expression that contains at least one variable ​ (a)  

When a number is raised to a power, the number that is used as a factor ​ (b)  

The number that is multiplied by the variable in an algebraic expression ​ (c)  

A number whose value does not change ​ (d)  

An expression that contains only numbers and operations ​ (e)  

Choose from the below words
algebraic expression
base
coefficient
constant
numerical expression
25.

an expression that contains at least one variable

(a)  

26.

when a number is raised to a power, the number that is used as the factor

(a)  

27.

the number that is multiplied by a variable

(a)  

28.

a number whose value does not change

(a)  

29.

expressions with the same value for all values of the variable

(a)  

30.

find the answer to

(a)  

31.

the number that indicates how many times the base is used as a factor

(a)  

32.

terms that have the same variable raised to the same exponent

(a)  

33.

an expression that contains numbers and operations

(a)  

34.

each part of an expression that is separated by addition or subtraction

(a)  

35.

a letter used to represent a quantity that can change

(a)  

36.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
37.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
38.
X+X+X+X+X
a)
X + 5 
b)
5X
c)
X+X+X+X+X+5
d)
X to the 5th power 
39.
a + a + a + a
a)
a + 4 
b)
4a 
c)
a to the fourth power 
d)
4a + 4 
40.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
41.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
42.
6x + 1 + 7x 
a)
13x - 1
b)
14x 
c)
7x + 6x + 1 
d)
13x + 1 
43.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
44.
7(y+9)
a)
7+9
b)
7y+63
c)
-7y-63
-7y+63
d)
7x+63
45.
2(4X-7)
a)
8x-14
b)
8x-7
c)
6x+7
d)
8x+14
46.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
47.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
48.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
49.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
50.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
51.
Identify Like Terms
4r+2-6+2r
a)
4r and 2r
b)
2 and 6
c)
4r and 2r,
 2 and 6
d)
4r and 2r,
 2 and -6
52.
Which answer choice contains ALL like terms?
a)
-4x, 2x, 3x
b)
-4x, 2, 3y
c)
4x2, 2x
d)
14, 4x
53.
True or False:
u3and u2 are like terms.
a)
True 
b)
False
54.
Which one is the variable?
3w + 2w - (-7w)
a)
3
b)
2
c)
w
d)
12
55.
What is the coefficient in the following expression?
5x - 9
a)
-9
b)
5
c)
x
d)
5x
56.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

57.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

58.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

59.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

60.

Simplify: 10d - 3d + 2e + 4d

a)

11d + 2e

b)

17d + 2e

c)

19de

d)

Can't be simplified

61.

Simplify: 8q + 3q - 6t + 2q - 4q

a)

3qt

b)

11q - 6t - 2q

c)

9q -6t

d)

Can't be simplified

62.

Simplify: 7y2 5y + 9y  5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

63.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

64.

Simplify: 12b + 4b2 - 10b

a)

4b2 + 2b

b)

4b2 + 22b

c)

6b2

d)

Can't be simplified

65.

Simplify: 5e + 7e - 10e + 9 e

a)

31e

b)

21e - 10e

c)

11e

d)

Can't be simplified

66.

Simplify: 7j + 3k + 10j - k

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

67.

Simplify: m + m + m + m

a)

4m

b)

m4

c)

m

d)

Can't be simplified

68.

Simplify: 4f2 + 3h - g + f

a)

5f2 + 3h - g

b)

7fhg

c)

4f2 + 3hgf

d)

Can't be simplified

69.

Simplify: 23s + 23d + 4s - 4d

a)

27s + 19d

b)

19s + 27d

c)

27s + 27d

d)

Can't be simplified

70.

Simplify: 5p + 7y + 2t - 3p + 4y

a)

15pyt

b)

2p + 11y + 2t

c)

8p + 11y + 2t

d)

Can't be simplified

71.
What is/are the coefficient(s) of
 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
72.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
73.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
74.
Which expression is equivalent to:
d + d + d + 3 + 2
a)
3d + 5
b)
d + 5
c)
2d + 7
d)
3d + 4
75.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
76.
Rewrite the expression by combining like terms.
4x2 – 2x2 + 2y + 6y2 – y + x2
a)
3x2 + 3xy + 6y
b)
6y2 + 2xy + 2x
c)
7x2 + 35x
d)
3x2 + 7y2 + y
77.

Simplify by combining like terms:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x2

78.

Simplify by combining like terms:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

79.

Simplify by combining like terms:

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

80.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
81.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
82.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
83.
-v +12v
a)
11v
b)
-9v
c)
0
d)
11
84.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
85.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
86.

40j\frac{40}{j}  when j=10

a)

30

b)

4

c)

50

d)

100

87.

7 + g when g=5

a)

12

b)

10

c)

2

d)

35

88.

20 - a when a=6

a)

60

b)

26

c)

14

d)

61

89.

TRUE or FALSE?

60 - a = 30 when a=30

a)

True

b)

False

90.

r + 17 when r=12

a)

204

b)

30

c)

5

d)

29

91.

6b when b=5

a)

30

b)

11

c)

1

d)

16

92.

12b\frac{12}{b}   when b=4

a)

3

b)

16

c)

8

d)

50

93.

TRUE or FALSE?

8h = 64 when h=7

a)

True

b)

False

94.

5 + b when b=2

a)

3

b)

7

c)

10

d)

3

95.

6 ÷\div  b when b=2

a)

8

b)

3

c)

4

d)

10

96.

what does the S mean in SPEMDAS

a)

Parenthesis

b)

Multiply

c)

Exponents

d)

Substitute

97.

10g when g=5

a)

5

b)

15

c)

50

d)

55

98.

25 - v when v=3

a)

28

b)

22

c)

75

d)

18

99.

100 - r when r=45

a)

55

b)

145

c)

4,500

d)

600

100.

50x when x=5

a)

55

b)

45

c)

250

d)

100

101.

40j\frac{40}{j}  when j=10

a)

30

b)

4

c)

50

d)

100

102.

7 + g when g=5

a)

12

b)

10

c)

2

d)

35

103.

20 - a when a=6

a)

60

b)

26

c)

14

d)

61

104.

TRUE or FALSE?

60 - a = 30 when a=30

a)

True

b)

False

105.

r + 17 when r=12

a)

204

b)

30

c)

5

d)

29

106.

6b when b=5

a)

30

b)

11

c)

1

d)

16

107.

12b\frac{12}{b}   when b=4

a)

3

b)

16

c)

8

d)

50

108.

TRUE or FALSE?

8h = 64 when h=7

a)

True

b)

False

109.

10g when g=5

a)

5

b)

15

c)

50

d)

55

110.

50x when x=5

a)

55

b)

45

c)

250

d)

100

111.

Review Check:
Evaluate the following when x=2 and y=3
x3+2y3x^3+2y-3  

a)

11

b)

9

c)

28

112.

If p=3 and q=2, evaluate the expression

p + 5 - q

a)

4

b)

3

c)

6

d)

8

113.
Evaluate 3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
114.

When you replace a variable with the number it represents, you are using _____.

a)

substitution

b)

variable

c)

algebraic expression

d)

solutions

115.

p(m+2); use m=1 and p=5

a)

11

b)

15

c)

14

d)

18

116.

x+2y; use x=4 and y=3

a)

8

b)

7

c)

10

d)

16

117.

y+x-x, use x=1 and y=1

a)

6

b)

1

c)

2

d)

3

118.

5yz; use y=5 and z=2

a)

50

b)

48

c)

54

d)

47

119.

yx÷6y-x\div6  use x=4 and y=10

a)

10

b)

4

c)

6

d)

1

120.

m-n-n; use m=4 and n=1

a)

8

b)

2

c)

4

d)

1

121.

x+y÷4x+y\div4  use x=4 and y=4

a)

2

b)

5

c)

10

d)

11

122.

p+q÷6p+q\div6  use p=4 and q=6

a)

5

b)

8

c)

0

d)

9

123.

y-(x-y); use x=5 and y=3

a)

2

b)

5

c)

6

d)

1

124.

x(y-x); use x=2 and y=6

a)

10

b)

6

c)

8

d)

2

125.

hj÷5hj\div5  ; use h=5 and j=5

a)

10

b)

6

c)

5

d)

0

126.

2+qp; use p=4 and q=3

a)

14

b)

8

c)

16`

d)

10

127.

6-(x-y); use x=1 and y=1

a)

0

b)

1

c)

6

d)

7

128.

2(z+y); use y=4 and z=1

a)

9

b)

10

c)

13

d)

15

129.

h+jh; use h=6 and j=5

a)

36

b)

37

c)

31

d)

39

130.

(xy)2\left(x-y\right)^2  use x=2 and y=1

a)

3

b)

1

c)

6

d)

0

131.

5(y+x); use x=5 and y=4

a)

49

b)

46

c)

45

d)

50

132.

y+x+z; use x=6 , y=4 and z=-2

a)

8

b)

11

c)

16

d)

14

133.

(ab)3\left(a-b\right)^3  where a=5 and b=-1

a)

216

b)

52

c)

34

d)

0

134.

P+m+p; use m=-10 and p=-2

a)

-14

b)

14

c)

15

d)

16

135.

The bowling alley charges $2.50 for shoe

rental and $6 per game. a. Write an expression that can be used to find the cost to bowl any number of games

and rent a pair of bowling shoes.

a)

6x+2.50y

b)

6x+2.50

c)

2.50+6y

d)

2.50+6

136.

Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w

where h is the number of hours worked and w is the number of wagons sold.

What is the amount paid to an employee that works 6

hours and sells 3 wagons?

a)

0

b)

162

c)

264

d)

9

137.

The expression 20l + 25g - 10

20l+25g−10 gives the number of dollars that Josie makes from mowing lawns and raking gardens.

How many dollars does Josie make from raking 4 gardens and mowing 3 lawns?

a)

25

b)

10

c)

150

d)

250

138.
46 less than a number
a)
46 - n
b)
n - 46
c)
46 + n
d)
n + 46
139.
5 times a number, minus 8  
a)
5m - 8
b)
5(m + 8)
c)
8m + 5
d)
8(m + 5)
140.
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip"  the terms around.
a)
True
b)
False
141.
Write an algebraic expression for:
 14 decreased by a number
a)
14+n
b)
14-n
c)
n-14
d)
14 decreased by a number
142.
The product of 6 and y..
a)
6 + y
b)
6y
c)
y - 6
d)
y / 6
143.

The quotient of 15 and a number plus 1

a)

15 / g - 1

b)

15 / g + 1

c)

g / 15 + 1

d)

g + 1 / 15

144.
s increased by 3
a)
s - 3
b)
3s
c)
s + 3
d)
s / 3
145.
18 times a number
a)
n - 18
b)
18n
c)
18 + n
d)
18 - n
146.
5 less than  r
a)
5 - r
b)
r - 5
c)
5r
d)
r + 5
147.
r less than 5
a)
r - 5
b)
5 - r
c)
r + 5
d)
5 + r
148.
"times"
a)
ADD
b)
SUBTRACT
c)
MULTIPLY
d)
DIVIDE
149.
"total"
a)
ADD
b)
SUBTRACT
c)
MULTIPLY
d)
DIVIDE
150.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
151.
Write an algebraic expression for:
three times a number plus 16
a)
3(16)+n
b)
16n+3
c)
3n+16
152.
Translate the sentence into an equation.
Seven subtracted from n is 18 
a)
n + 7 = 18
b)
7 - n = 18
c)
n - 7 = 18
d)
n + 7 = 18n
153.
Translate the sentence into an equation:
Four more than six times a number is 18.
a)
4 + 6x = 18
b)
4x + 6 = 18
c)
6x + 4 = 18
d)
not enough info
154.
How would you translate
x - 5 = 12 into words?
a)
x - 5 = 12
b)
The product of x and 5 is twelve
c)
x less than 5 is 12
d)
Five less than x is 12.
155.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
156.
4 less than x 
a)
4 - x
b)
x - 4
c)
4x
d)
-4x
157.

"difference of"

a)

ADD

b)

SUBTRACT

c)

MULTIPLY

d)

DIVIDE

158.
a number more than 12
a)
n + 12
b)
12n 
c)
12 + n 
d)
12 - n 
159.

The product of seven and j

a)

7j

b)

j+7

c)

j-7

d)

j7\frac{j}{7}

160.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
161.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3÷7n3\div7n

162.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
163.
5 more than the product of 7 and s
a)
7s + 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
164.
the sum of 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
165.

The difference of a number and 8

a)

8 - n

b)

8n

c)

n - 8

d)

8 x n

166.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
167.

Three more than a number.

a)

x + n

b)

x + 3

c)

3 + x

d)

3n

168.

The quotient of a number and 15

a)

15 x n

b)

n + 15

c)

15 - n

d)

n15\frac{n}{15}

169.

The product of 12 and a number k

Select all correct expressions

a)

12 x k

b)

k - 12

c)

12k

d)

12(k)

170.

15 less than a number x

a)

15 - x

b)

x + 15

c)

15 + x

d)

x - 15

171.

A number d decreased by 9

a)

9 - d

b)

d - 9

c)

9d

d)

d - 8

172.

A number h increased by 12

a)

12h

b)

12 + h

c)

h - 12

d)

h + 12

173.

The sum of x and 15

a)

x + 15

b)

15x

c)

15 - x

d)

15÷x15\div x

174.

12 times the sum of a and b

a)

a + b - 12

b)

12 x a = b

c)

12(a+b)

d)

12 x a - b

175.
5 times a number, minus 8  
a)
5m - 8
b)
5(m + 8)
c)
8m + 5
d)
8(m + 5)
176.
46 less than a number
a)
46 - n
b)
n - 46
c)
46 + n
d)
n + 46
177.
The product of 6 and y..
a)
6 + y
b)
6y
c)
y - 6
d)
y / 6