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Worksheets

Translating Algebraic Expressions

Total questions: 35

Worksheet time: 18mins

Name
Class
Date
1.

Translate to an algebraic expression.

76 decreased by x

a)

76 - x

b)

x - 76

c)

76x

d)

76 + x

2.

Translate to an algebraic expression.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6n

c)

m(6n)

d)

6mn

3.

Translate to an algebraic expression.

125 subtracted from a number x

(a)  

4.

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

5.

Five less than y

a)

5 - y

b)

5 + y

c)

y/5

d)

y - 5

6.

three times x increased by eight

a)

3x

b)

3x + 8

c)

3y + 8

d)

x + 8

7.

twice a number t, squared

a)

2t

b)

t2

c)

2x

d)

2t2

8.

2f - 4

a)

f minus 4

b)

4 minus f

c)

minus 4

d)

four less than twice a number, f

9.

3y3/7

a)

three times a number

b)

three times a number, y, cubed divided by 7

c)

y cubed

d)

seven

10.

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

11.

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

12.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

13.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

14.
Sixty less forty is some number
a)
60 - 40 = n
b)
60 < 40 + n
c)
40 - 60 = n
d)
60 < 40 - n
15.
A number less than seventy-five is twenty-seven
a)
a - 75 = 27
b)
75 - a = 27
c)
a ÷ 75 = 27
d)
75 (a) = 27
16.
6 (x + 5)
a)
Six times X increased by five
b)
Six times the sum of a number and five
c)
The quotient of six and a number increased by five
d)
Five more a number times six
17.

The total of n and 9 decreased by 6

a)

(n+9)6\left(n+9\right)-6

b)

(n9)=6\left(n-9\right)=6

c)

9n69n-6

d)

n+96n+9-6

18.

A number squared increased by 1

a)

1+√2

b)

x2+1

c)

x2-1

d)

√2 +1

19.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
20.
"QUANTITY" indicates there will be...?
a)
Subtraction
b)
Parenthesis
c)
Multiplication
d)
Division
21.

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

22.
Five times Mike's age, increased by nine
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
23.

The sum of n and 5

(a)  

24.

The product of n and nine

(a)  

25.
a number more than 12
a)
n - 12
b)
12n 
c)
12 + n 
d)
12 - n 
26.
What is the correct term for the answer you get when you subtract?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
27.
What is the correct term for the answer you get when you add?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
28.
What is the correct term for the answer you get when you divide?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
29.
What is the correct term for the answer you get when you multiply?
a)
Product
b)
Quotient
c)
Sum
d)
Difference
30.

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

31.

Translate to an algebraic expression.

125 subtracted from a number

a)

125 - n

b)

n - 125

32.

Translate:

2 less than x

(a)  

33.
Translate:
6 times the quantity of the difference of 5 and x
a)
6(x – 5)
b)
6(5 – x)
c)
6 + 5 – x
d)
6(5x)
34.

Translate:

x decreased by 4, added to 11

Note: Do not put a spacing in writing your answer.

(a)  

35.

Which phrase represents the following expression:


6x – 1

a)

The quotient of 6 and x minus 1.

b)

6 times x increased by 1.

c)

1 less than 6 times x.

d)

1 minus 6 multiplied by x.