TRANSLATING PHRASES TO ALGEBRAIC EXPRESSIONS OR EQUATIONS WORKSHEET

Problem 1 :

Write each verbal phrase as an algebraic expression.

1) the sum of 8 and t

2) the quotient of g and 15

3) the product of 5 and b

4) the difference of 32 and x               Solution

Problem 2 :

5) Eight more than x

6) Six less than p

7) 14 less than f

8) p more than 10

9) 3 more runs than Pirates scored

10) 12 less than some number          Solution

Translate the verbal phrase to algebraic equations.

PART A ANSWERS

1) 8 + t

2) g/15

3) 5 x b

4) 32 - x

5) 8 + x

6) p - 6

7) f - 14

8) p + 10

9) x + 3

10) x - 12

PART B

Problem 3 :

Arthur is 8 years younger than Janet

Problem 4 :

Kelly’s test score is 6 points higher than Mike’s

Problem 5 :

The product of 7 and b is equal to 63.

Problem 6 :

The quotient of x and 7 is equal to 13.

Problem 7 :

The sum of r and 45 is 79.

Problem 8 :

The quotient of x and 7 is equal to 13.

Solution

PART B ANSWERS

3) A = J - 8

4) K = M + 6

5) 5 + x = 6

6) 7 x b = 63

7) r + 45 = 79

8) x/7 = 13

PART C

Translate the verbal phrase to algebraic expressions.

1) Six less than twice a number x is four

2) Four more than the product of 2 and a

3) Nine times a number decreased by four

4) Seven more than the quotient of a number and 2 is 10

5) One less than the product of four and a number is 11.

6) Ten more than the quotient of a number and 3 is 12.

7) The sum of 9 and the quotient of x and 7 is 11.

8) The product of 8 and the difference of n and 3.

9) Two less than the quotient of 15 and a number.

10) Five times the sum of six and some number.

11) The quotient of 7 and d decreased by 9.

12) Twice the difference of y and three

13) The difference of 9 and the quotient of s and –4

14) The sum of 5 and product of 7 and x

15) Three more than quotient of 5 and a 

16) The product of 4 and the difference of x and 3

Solution

PART C ANSWERS

1) 2x - 6 = 4

2) 4 + 2a

3) 9x - 4

4) (x/2) + 7 = 10

5) 4x - 1 = 11

6) (x/3) + 10 = 12

7) (x/7) + 9 = 11

8) 8(n - 3)

9) (15/x) - 2

10) 5(x + 6)

11) 7/(d - 9)

12) 2(y - 3)

13) 9 + (s/4)

14) 5 + 7x

15) 3 + (5/a)

16) 4(x - 3)

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