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Worksheets

translating algebraic expressions

Total questions: 110

Worksheet time: 4hrs 56mins

Name
Class
Date
1.

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

a)

x + 16

b)

16x

c)

x - 16

d)

x14\frac{x}{14}

2.

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

3.

Which algebraic expression best matches the verbal phrase?

"10 minus n"

a)

10n

b)

10 - n

c)

10 - n + n + n

d)

n - 10

4.

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

5.

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

a)

6c

b)

c - 6

c)

c + 6

d)

c6c^6

6.

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)

4w3\frac{4w}{3}

d)

4w - 3

7.

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

a)

n + 5

b)

5 - n

c)

5n

d)

5n

8.

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

a)

12x\frac{1}{2}x

b)

2 ÷ x2\ \div\ x

c)

x2\frac{x}{2}

d)

2x\frac{2}{x}

e)

x÷2x\div2

9.

Which algebraic expression best matches the verbal phrase?

" The quotient of c and 16"

a)

c 16c\ -16

b)

c16\frac{c}{16}

c)

16c\frac{16}{c}

d)

16c

10.

Which algebraic expression best matches the verbal phrase?

"Double a number n"

a)

2 +n2\ +n

b)

2n2n

c)

n÷2n\div2

d)

n+2n+2

11.
The sum of 6 and x
a)
x + 6
b)
6/x
c)
x + 4
d)
6x
12.
What is the quotient of y and 5?
a)
y - 5
b)
y + 5
c)
y X 5
d)
y/5
13.
The total of b and 14 
a)
14 - b
b)
14/b
c)
14 + b 
d)
b - 14 
14.

Choose two. 2x

a)

2 plus x

b)

The product of 2 and x

c)

two times x

d)

x and two more

15.

Five less than y

a)

5 - y

b)

5 + y

c)

y/5

d)

y - 5

16.

The difference between t and 6

a)

t + 6

b)

6 + t

c)

t - 6

d)

6t

17.

three times x increased by eight

a)

3x

b)

3x + 8

c)

3y + 8

d)

x + 8

18.

10 subtracted by a number, b

a)

10 - b

b)

b - 10

c)

b

d)

b + 10

19.

twice a number t, squared

a)

2t

b)

t2

c)

2x

d)

2t2

20.

3y Choose two matching statements

a)

three times y

b)

three plus y

c)

the product of three and y

d)

three divided by y

21.

2f - 4

a)

f minus 4

b)

4 minus f

c)

minus 4

d)

four less than twice a number, f

22.

3y3/7

a)

three times a number

b)

three times a number, y, cubed divided by 7

c)

y cubed

d)

seven

23.

r + 10 Choose two

a)

a number, r, increased by 10

b)

r and ten more

c)

r minus 10

d)

the difference of r and 10

24.

The quotient of 12 and x

a)

x

b)

12

c)

12x

d)

12/x

25.

a number, y, to the power of 4

a)

4y

b)

y4

c)

4

d)

4x

26.

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

27.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

28.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

29.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

30.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

x/7

d)

x − 7

31.

Eight less than the sum of a and 3.

a)

8(a+3)8-\left(a+3\right)

b)

(a+3)8\left(a+3\right)-8

c)

(a3)8\left(a-3\right)-8

d)

3a83a-8

32.
The difference of 3 times a number and 7
a)
3 + 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
33.
a number increased by eighteen
a)
18n
b)
n+18
c)
18-n
d)
18/n
34.
fourteen times a number
a)
n-14
b)
14n
c)
14+n
d)
14-n
35.
the sum of fifty-two and a number
a)
n-52
b)
52 + n
c)
52/n
d)
52n
36.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
37.
g divided by nine
a)
9g
b)
g-9
c)
g ÷ 9
d)
9 ÷ g
38.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
39.
the quotient of a number and 4
a)
n ÷ 4
b)
n - 4
c)
n + 4
d)
4n
40.
2 times the sum of y and 5 
a)
2 + y + 5
b)
2y + 5 
c)
2(y + 5)
d)
2 - y + 5
41.
What is the correct term for the answer you get when you multiply?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
42.
What is the correct term for the answer you get when you add?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
43.
What is the correct term for the answer you get when you subtract?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
44.

Five less than y

a)

5 - y

b)

5 + y

c)

y/5

d)

y - 5

45.

10 subtracted by a number, b

a)

10 - b

b)

b - 10

c)

b

d)

b + 10

46.

Translate to an algebraic expression.

76 decreased by x

a)

76 - x

b)

x - 76

c)

76x

d)

76 + x

47.

Translate to an algebraic expression.

6 minus the quotient of u and 2

a)

6 - (u ÷ 2)

b)

6 - 2u

c)

6 ÷ u + 2

d)

6 - (2 ÷ u)

48.

Translate to an algebraic expression.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6n

c)

m(6n)

d)

6mn

49.

Translate to an algebraic expression.

twice the sum of 70 and m

a)

2(m + 70)

b)

2⋅70 + m

c)

2(70 - m)

d)

70 + m ⋅ 2

50.
What is the answer to an addition problem called?
a)
difference
b)
number
c)
sum
d)
equal
51.
What is the answer to a multiplication problem called?
a)
Difference
b)
Sum
c)
Quotient
d)
Product
52.
Taking the difference of two numbers means that we should ________?
a)
Combine
b)
Add
c)
Subtract
d)
Compare
53.
A "quotient" is the answer to what type of math problem?
a)
Addition
b)
Division
c)
Exponential
d)
Inequality
54.
To cut a number in half means to divide by what?
a)
4
b)
12
c)
6
d)
2
55.

Translate to an algebraic expression.

125 subtracted from a number

a)

125 - n

b)

n - 125

56.

Translate to an algebraic expression.

The difference of 30 and n

a)

n - 30

b)

30 - n

c)

30 + n

d)

n ÷ 30

57.

Translate to an algebraic expression.

5 less than the quotient of 7 and s

a)

(7 ÷ s) - 5

b)

5 - (7 ÷ s)

c)

7(s - 5)

d)

5 - 7s

58.

The sum of n and 5

(a)  

59.

The product of n and nine

(a)  

60.

a number increased by eighteen

a)

18n

b)

n+18

c)

18-n

d)


18n\frac{18}{n}

61.

the quotient of a number and 4

a)

n4\frac{n}{4}

b)

n - 4

c)

n + 4

d)

4n

62.
a number more than 12
a)
n - 12
b)
12n 
c)
12 + n 
d)
12 - n 
63.
What is the correct term for the answer you get when you multiply?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
64.
What is the correct term for the answer you get when you divide?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
65.
What is the correct term for the answer you get when you add?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
66.
What is the correct term for the answer you get when you subtract?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
67.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x16\frac{x}{16}

68.

Translate to an algebraic expression.

76 decreased by x

a)

76 - x

b)

x - 76

c)

76x

d)

76 + x

69.

Translate to an algebraic expression.

5 less than the product of 3 and p

a)

3p - 5

b)

5 - 3p

c)

5 < 3p

d)

3p + 5

70.

Translate to an algebraic expression.

125 subtracted from a number

a)

125 - n

b)

n - 125

71.

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

72.

Choose two. 2x

a)

2 plus x

b)

The product of 2 and x

c)

two times x

d)

x and two more

73.

Five less than y

a)

5 - y

b)

5 + y

c)

y5\frac{y}{5}

d)

y - 5

74.

The difference between t and 6

a)

t + 6

b)

6 - t

c)

t - 6

d)

6 + t

e)

6t

75.

three times x increased by eight

a)

3x

b)

3x + 8

c)

3y + 8

d)

x + 8

76.

a number, y, to the power of 4

a)

4y

b)

y4

c)

4

d)

4x

77.

Which words are "switch" words

a)

to

b)

by

c)

of

d)

from

e)

than

78.

Choose the algebraic expression that represents

"One-fourth of a number"

a)

n4\frac{n}{4}  

b)

4n\frac{4}{n}  

c)

4n

d)

n + 4

79.

Choose the algebraic expression that represents

"Four dollars cheaper than two times price n"

a)

 4 - 2n

b)

 2 (n - 4)

c)

2n - 4

d)

2n + 4

80.

Choose the algebraic expression that represents

"The difference of a number and four"

a)

n + 4

b)

4 - n

c)

n - 4

d)

4n\frac{4}{n}  

81.

Choose the algebraic expression that represents

"The product of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

4n\frac{4}{n}  

82.

Choose the algebraic expression that represents

"The quotient of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

4n\frac{4}{n}  

83.

Choose the algebraic expression that represents

"Two times the difference of a number and four"

a)

2n - 4

b)

2 (n - 4)

c)

2 (4 - n)

d)

2(4n)2\left(\frac{4}{n}\right)

84.

Choose the algebraic expression that represents

"Four times a number"

a)

4n

b)

4n\frac{4}{n}  

c)

n4\frac{n}{4}  

d)

n×n×n×nn\times n\times n\times n  

85.

Choose the algebraic expression that represents

"Twice the sum of a number and four"

a)

2n + 4

b)

2 (n + 4)

c)

2 (4 - n)

d)

2 + 4n

86.

Choose the algebraic expression that represents

"Four less a number"

a)

4 - n

b)

n - 4 

c)

  4n\frac{4}{n}  

d)

4 < n 

87.

Choose the algebraic expression that represents

"Four more a number"

a)

4n

b)

n + 4 

c)

  4n\frac{4}{n}  

d)

4 > n 

88.
The difference of 3 times a number and 7
a)
3 + 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
89.
a number increased by eighteen
a)
18n
b)
n+18
c)
18-n
d)
18/n
90.
fourteen times a number
a)
n-14
b)
14n
c)
14+n
d)
14-n
91.
the sum of fifty-two and a number
a)
n-52
b)
52 + n
c)
52/n
d)
52n
92.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
93.
g divided by nine
a)
9g
b)
g-9
c)
g ÷ 9
d)
9 ÷ g
94.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
95.
the quotient of a number and 4
a)
n ÷ 4
b)
n - 4
c)
n + 4
d)
4n
96.
2 times the sum of y and 5 
a)
2 + y + 5
b)
2y + 5 
c)
2(y + 5)
d)
2 - y + 5
97.
a number more than 12
a)
n - 12
b)
12n 
c)
12 + n 
d)
12 - n 
98.
What is the correct term for the answer you get when you multiply?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
99.
What is the correct term for the answer you get when you divide?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
100.
What is the correct term for the answer you get when you add?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
101.
What is the correct term for the answer you get when you subtract?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
102.
the product of x and sixteen
a)
x + 16
b)
x - 16
c)
16x
d)
x/16
103.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
104.
"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip"  the terms around.
a)
True
b)
False
105.
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
106.
"total"
a)
ADD
b)
SUBTRACT
c)
MULTIPLY
d)
DIVIDE
107.
Write an algebraic expression for:
three times a number plus 16
a)
3(16)+n
b)
16n+3
c)
3n+16
108.

The algebraic expression 6p56p-5 can be written in words as:

a)

5 more than the product of 6 and a number

b)

the product of 6 and a number, minus 5

c)

the difference of 5 and 6 times a number

d)

the product of 6, and a number decreased by 5

109.

The algebraic expression k2+8\frac{k}{2}+8 can be written in words as:

a)

8 more than twice a number

b)

the quotient of 2 and a number, increased by 8

c)

the difference of half a number and 8

d)

8 more than half a number

110.

The algebraic expression 2(3x)2\left(3-x\right) can be written in words as:

a)

twice the difference of 3 and a number

b)

two times a number less than 3

c)

twice the difference of a number and 3

d)

two times of 3 less than a number