Free Printable Writing Algebraic Expressions

1.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

2.

$5x\ +\ 6y$ is a

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

3.

An algebraic expression that contains only one term is called

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

4.

The algebraic expression $3x+2y+6$ is a

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of the above

5.

A polynomial contains _______ number of terms:

a)

One

b)

Two

c)

Three

d)

Any

6.

In which of the following, the two expressions are like terms?

a)

7x\ ,\ 7y

b)

$7x,\ 9x$

c)

$7x,\ 7x^2$

d)

$7x,$ $7xy$

7.

If we add $7xy+5yz–3zx$ $4yz+9zx–4y$ and

and $–3xz+5x–2xy$ then the answer is:

a)

$5xy+9yz+3zx+5x–4y$

b)

$5xy–9yz+3zx–5x–4y$

c)

$5xy+10yz+3zx+15x–4y$

d)

$5xy+10yz+3zx+5x–6y$

8.

If we subtract $4a–7ab+3b+12$ from $12a–9ab+5b–3$ then the answer is:

a)

8a+2ab+2b+15

b)

$8a+2ab+2b-15$

c)

$8a-2ab+2b-15$

d)

$8a-2ab-2b-15$

9.

If we multiply $5x$ and $\left(-4xyz\right)$ then we get:

a)

20x^2yz^{ }

b)

$-20x^2yz$

c)

$x^2yz$

d)

$-2xyz$

10.

The product of $4x$ and $0$ is

a)

4x

b)

4

c)

0

d)

None of the above

11.

The volume of a rectangle with length, breadth and height as $5x,\ 3x^2\ and\ 7x^4$ respectively is:

a)

$105x^7$

b)

$105x^2$

c)

$105x^4$

d)

$105x$

12.

Which expression represents $s$ students split evenly into 5 groups?

a)

$\frac{s}{5}$

b)

$5s$

c)

$s+5$

d)

$s-5$

13.

Which phrase describes this expression?

6y + 4

a)

6 times the sum of y and 4

b)

The product of 6 and 4 times y

c)

4 more than the sum of 6 and y

d)

The product of 6 and y plus 4

14.

How many terms does this expression have?

6a + 4b - 7

a)

1

b)

2

c)

3

d)

4

15.

Select ALL the phrases that represent 4m

a)

The product of 4 and m

b)

The quotient of 4 and m

c)

4 times m

d)

4 divided by m

e)

4 groups of a quantity m

16.

The answer to an addition problem

a)

product

b)

quotient

c)

sum

d)

difference

17.

The answer to a subtraction problem

a)

product

b)

quotient

c)

sum

d)

difference

18.

The answer to a multiplication problem

a)

product

b)

quotient

c)

sum

d)

difference

19.

The answer to a division problem

a)

product

b)

quotient

c)

sum

d)

difference

20.

In an algebraic expression, what is the word that describes the letter that stands for an unknown number?

a)

term

b)

coefficient

c)

variable

d)

product

21.

Which of the following is NOT a correct way to write the product of 3 and 2?

a)

$3\left(2\right)$

b)

$3\cdot2$

c)

$3^2$

d)

$3\times2$

22.

In the expression 3p + 4, what is the word for the letter p?

a)

term

b)

coefficient

c)

product

d)

variable

23.

In the expression 3p + 4, what parts of the expression are 3p and 4?

a)

terms

b)

coefficient

c)

product

d)

sum

24.

Which statement is true?

a)

2(3 +4) = 2(3) - 2(4)

b)

2(3) + 2(4) = 2(3 +4)

c)

2(3 + 4) = 2(3) x 2(4)

25.

Which expression is equivalent to 3(n -6)?

a)

3n - 6

b)

n - 18

c)

3n - 18

d)

3n - 9

26.

Which equation is equivalent to 2(y + 11) ?

a)

2y + 22

b)

2y + 11

c)

2y + 13

d)

y + 22

27.

Use the distributive property to simplify the expressions 3(4x + 9)

a)

4x + 27

b)

12x + 27

c)

7x + 12

d)

12x + 12

28.

Evaluate 5³

a)

15

b)

25

c)

125

d)

0

29.

Select the values that are coefficient in the expressions 2x²+ x + 3

a)

3

b)

x² and x

c)

2

d)

2 and 1

30.

Select the values of the coefficients 5x - 4s + 12 - 2

a)

5x - 4s

b)

5 and -4

c)

12 and 2

d)

There are none

31.

$\frac{5}{9\ }$ (F - 32) is the expression that converts degrees Fahrenheit to Celsius. What is the temperature when F= 113?

a)

45

b)

63

c)

54

d)

130

32.

What is the value of the expression 2x² - 5y + 3 when x=3 and y=3

a)

0

b)

30

c)

6

d)

-3

33.

Which expression is equivalent to 5 * 5 * 5 * 5 * 5 * 5

a)

5⁶

b)

6⁵

c)

5 + 5⁴

34.

Which expression is equivalent to 3 * 3 * 3 * 3?

a)

9 * 3²

b)

27

c)

12

d)

6 + 6

35.

Ashley has c cookies for lunch and Iliana has 3 times as many. Which expression shows how many cookies Iliana has for lunch?

a)

3 + c

b)

3c + c

c)

3/c

d)

3c

36.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

37.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

38.

The number h decreased by eight

a)

h-8

b)

8h

c)

h+8

d)

8-h

39.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

40.

Which of the following terms means "subtract"?

a)

half

b)

less than

c)

double

d)

per

41.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

42.

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?

a)

9 + x

b)

9x

c)

2(9 + x)

d)

2x + 9

43.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

44.

What is the coefficient in the given expression: 2 - p + 4?

a)

0

b)

4

c)

2

d)

1

45.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

46.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

47.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

48.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

49.

The number h decreased by eight

a)

h-8

b)

8h

c)

h+8

d)

8-h

50.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

51.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

52.

Which of the following terms means "subtract"?

a)

half

b)

less than

c)

double

d)

per

53.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

54.

Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?

a)

9 + x

b)

9x

c)

2(9 + x)

d)

2x + 9

55.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

56.

What is the coefficient in the given expression: 2 - p + 4?

a)

0

b)

4

c)

2

d)

1

57.

What is the coefficient of the following expression?
7c + 8

a)

c

b)

7

c)

8

d)

1

58.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

59.

Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t

a)

30

b)

28

c)

26

d)

14

60.

Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t

a)

8

b)

6

c)

4

d)

7

61.

Which is NOT a word phrase for the algebraic expression.
n + 16

a)

a number increased by 16

b)

16 increased by a number

c)

the sum of a number and 16

d)

16 more than a number

62.

Write an algebraic expression for the word phrase.
12 more than (m) machines

a)

12-m

b)

m-12

c)

12+m

d)

m+12

63.

Combine the like terms. Simplify.
2x + x - 4y

a)

2x+x-4y

b)

4x+4y

c)

3x-4y

d)

3x+4y

64.

Combine like terms. Simplify.
11g-9g+8g

a)

10g

b)

9g

c)

2g

d)

11g

65.

Solve using distributive property.
3(x-6)

a)

3x+18

b)

3x-6

c)

3x+6

d)

3x-18

66.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

67.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

68.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

69.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

70.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

71.

A __________ is the numerical term in an algebraic expression.

a)

Variable

b)

Constant

c)

Term

d)

Coefficient

72.

A ___________ is the numerical factor of a variable term in an algebraic expression.

a)

term

b)

coefficient

c)

variable

d)

constant

73.

Use the distributive property to simplify the expression.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

74.

Use the distributive property to simplify the expression.

2(7c - 8)

a)

14c - 16

b)

14c + 16

c)

7c - 16

d)

c - 16

75.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

76.

Use the distributive property to simplify the expression.

9(2g + 3)

a)

18g + 27

b)

18g - 27

c)

-18g - 27

d)

18g - 18

77.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

78.

Simplify the expression by combining like terms.

9x²+14x-x²+6x

a)

8x²+20x

b)

9x²+20x

c)

10x²+20x

d)

8x²+8x

79.

Simplify the expression.

5(3+5x-1)

a)

25x+10

b)

15+25x

c)

25x+15-1

d)

25x+2

80.

Simplify the expression

29x+8(4y-2x)

a)

13x+32y

b)

27x+12y

c)

31x+32y

d)

13x-32y

81.

Simplify the expression

8(2x+3)-13

a)

16x+11

b)

16x

c)

24x+41

d)

4-24x

82.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b

83.

Subtract a number from 10

a)

n-10

b)

10+n

c)

10/n

d)

10-n

84.

a number added to 19

a)

19-n

b)

19+n

c)

19/n

d)

19n

85.

a number decreased by 12

a)

12-n

b)

12+n-5

c)

n-12

d)

12n

86.

add 6 to a number

a)

6+n

b)

6/n

c)

6-n

d)

2n+6

87.

9 plus a number

a)

n-9

b)

9/n

c)

9+n

d)

9×n

88.

4 less than a number

a)

4/n

b)

4+n

c)

n/4

d)

n-4

89.

Nate has 6 fewer CDs than Emily. If c represents the number of CDs Emily has, which expression tells how many CDs Nate has?

a)

6-c

b)

6+c

c)

c-6

d)

c+6

90.

13 subtracted from t

a)

t - 13

b)

t/13

c)

13 × t

d)

13 + t

91.

9 fewer than the total number of people

a)

t × 9

b)

9/t

c)

t - 9

d)

9 + t

92.

5 less than v

a)

5 - v

b)

5v

c)

5 + v

d)

v - 5

93.

What are your constants in the following algebraic expression?

2x + 4 + x - 5x

a)

x

b)

4

c)

2x

d)

-5

94.

What are your constants in the following algebraic expression?

-8 + 7y - 2x + 5 - x

a)

8

b)

5

c)

-8

d)

-2

e)

7

95.

What are your coefficients in the following algebraic expression?

2x + 4 + x - 5x

a)

4

b)

-5

c)

5

d)

2

e)

1

96.

What are your coefficients in the following algebraic expression?

8 + 7 - 3x + 9y - x

a)

8, 7

b)

-3, -1

c)

9

d)

-3, 9, -1

97.

What are your variables in the following algebraic expression?

2x + 4 + y - 5z

a)

x

b)

4

c)

2, 4, -5

d)

x, y, z

98.

How many terms are in the following algebraic expression?

2x + 4 + x - 5x

a)

1

b)

2

c)

3

d)

4

99.

What are the like terms in the following algebraic expression?

2x - x + 8 + y - 7

a)

8, -7

b)

2x, -x, y

c)

2x, -x

d)

2, 1, 1

100.

What are the like terms in the following algebraic expression?

5 - 3y + 2x - 5y + x - 2 + 3x²

a)

-3, 2, -5, 1, 3

b)

5 and -2

c)

5 and -2 / -3y and -5y / 2x and x

d)

3x² and 2x and x

101.

Simplify the algebraic equation:

6n - 7n - 4 + n

a)

4

b)

-4

c)

n + 4

d)

n - 4

102.

Simplify the algebraic equation:

9y - 4 - 11y + 7

a)

20y + 11

b)

-2y - 11

c)

-2y - 3

d)

-2y + 3

103.

Simplify the algebraic equation:

3x + 2 - 10 - 3x

a)

6x - 8

b)

-6x + 8

c)

-6x - 8

d)

-8

104.

Select an equivalent expression for:

4y + y

a)

5y

b)

y + 4y

c)

4y - y

d)

y - 4y

105.

Select an equivalent expression for:

2g - 3 + 11 - 8g

a)

-6g + 8

b)

8 - 6g

c)

6g - 8

d)

-8 + 6g

106.

Evaluate 3b + 2d
when
a = 1, b = 3, d = -2

a)

3

b)

5

c)

0

d)

2

107.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

108.

12 ÷ a + 8
when a = 4

a)

1

b)

11

c)

12

d)

2

109.

2(a - 5) + 2
when a = 15

a)

22

b)

27

c)

14

d)

7

110.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

111.

6a + 2(c - b)
when a = 2, b = 1, c = 9

a)

4

b)

-4

c)

28

d)

8

112.

2x + x²; for x = 3

a)

12

b)

15

113.

5x + 2; for x = 1

a)

8

b)

7

114.

13 + 6x; for x = 2

a)

25

b)

21

115.

2x + 3 + x²; for x = 4

a)

17

b)

27

116.

8y + 12 - 2z; for y = 4 and z = 2

a)

40

b)

20

117.

4m - 2; for m = 4

a)

6

b)

14

118.

4 + (y + 3) + y² for y = 5

a)

42

b)

37

119.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

120.

What are the coefficients in the expression
8a + b + 9?

a)

8 only

b)

1 and 8

c)

8 and 9

d)

1, 8, and 9

121.

(y + z)² when y=5 and z=2

a)

7

b)

49

c)

29

d)

14

122.

Which algebraic expression best matches the phrase: "The product of x and 16"

a)

x + 16

b)

16x

c)

x - 16

d)

$\frac{x}{14}$

123.

Which algebraic expression best matches the phrase:

"12 more than triple x"

a)

12 + 3x

b)

3x + 12

c)

12 ( 3+x)

d)

12 + 3 + x

124.

Which algebraic expression best matches the verbal phrase?

"10 minus n"

a)

10n

b)

10 - n

c)

10 - n + n + n

d)

n - 10

125.

Which algebraic expression best matches the verbal phrase?
"2 less than a number"

a)

b - 2

b)

2-b

c)

b $\cdot$ b

d)

b + 2

126.

Which algebraic expression best matches the phrase: "The difference of a number, c and six"

a)

6c

b)

c - 6

c)

c + 6

d)

$c^6$

127.

Which algebraic expression best matches the phrase: "Three less than the product of four and a number"

a)

3 - 4 + w

b)

3 - 4w

c)

$\frac{4w}{3}$

d)

4w - 3

128.

Which algebraic expression best matches the phrase: "n increased by 5"

a)

n + 5

b)

5 - n

c)

5n

d)

5ⁿ

129.

Which expressions shows one half of x? Select all that apply.

a)

$\frac{1}{2}x$

b)

$2\ \div\ x$

c)

$\frac{x}{2}$

d)

$\frac{2}{x}$

e)

$x\div2$

130.

Which algebraic expression best matches the verbal phrase?

" The quotient of c and 16"

a)

$c\ -16$

b)

$\frac{c}{16}$

c)

$\frac{16}{c}$

d)

16c

131.

Which algebraic expression best matches the verbal phrase?

"Double a number n"

a)

$2\ +n$

b)

$2n$

c)

$n\div2$

d)

$n+2$

132.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

133.

a²- b²Evaluate if a=4 and b =2

a)

4

b)

20

c)

-4

d)

12

134.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

135.

Evaluate 3b + 2d
when
a = 1, b = 3, d = -2

a)

3

b)

5

c)

0

d)

2

136.

6a + 2(c - b)
when a = 2, b = 1, c = 9

a)

4

b)

-4

c)

28

d)

8

137.

4 + (y + 3) + y² for y = 5

a)

42

b)

37

138.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

139.

^_Evaluate5^m + mⁿ
when
m = 2 and n = 5

a)

57

b)

10

c)

50

d)

5

140.

_^Evaluate(a + b)^c + ab
when
a = 3, b = 5, and c = 2

a)

26

b)

31

c)

79

d)

49

141.

What is the value of
xy + 2z
when x = -2, y = 4, z = -5

a)

-2

b)

28

c)

18

d)

-18

142.

Evaluate:
½a - 5b
when a = -12 and b = -3

a)

-21

b)

-9

c)

9

d)

21

143.

Evaluate:
-x(y - x) + (3x - y)
when x = -2 and y = 5

a)

-25

b)

3

c)

-5

d)

-17

144.

x² - (x - y)²• y

If x = -5 and y = -8

a)

-47

b)

1377

c)

-128

d)

97

145.

r³ + 2s²
if r = -3 and s = 4

a)

59

b)

5

c)

37

d)

91

146.

Evaluate:
-3a³b + 5a
if a = -2 and b = 5

a)

110

b)

-14

c)

145

d)

-115

147.

g² - 3(h - g) Evaluate if
g = 3 and h = -2

a)

6

b)

9

c)

24

d)

5

148.

Evaluate 6ab + 2c if a = 3, b = 10, and c = 7

a)

19

b)

194

c)

180

d)

14

149.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

150.

x² - xy if x = 8 and y = -3

a)

88

b)

40

c)

-8

d)

-24

151.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

Writing Algebraic Expressions

Total questions: 151

Worksheet time: 5hrs 27mins

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