TRANSLATING SENTENCES INTO EQUATIONS WORKSHEET

Let  x represent  the number. Use mental math to solve the equation. 

Problem 1 :

The sum of a number and 10 is 15.

Solution

Problem 2 :

28 decreased by a number is18.

Solution

Problem 3 :

The product of a number and 25 is 100.

Solution

Problem 4 :

The quotient of 49 and a number is 7.

Solution

Problem 5 :

The area of the rectangle is less than or equal to 50 meters. Write an inequality for the area using the dimensions in the diagram.

Solution

Problem 6 :

The distance between your house and the amusement park s 110 miles. Your rate of travel is 55 miles per hour. Use the formula d = rt to write an equation. Use mental math to solve the equation for the time you spend traveling.

Solution

Problem 7 :

Translate into mathematical symbols “the difference of a number and 4 is 10”. Let n represent the number.

A)  n - 4 = 10    B)  4 - n = 10    C)  10 - 4 = n    D)  10 – n = 4

Solution

Problem 8 :

MULTIPLE CHOICE   Which is the correct algebraic translation of “Howard’s hourly wage h is $2 greater them Marla’s hourly wage m?”

A)  h < m+2   B)  h = m+2   C)  m = h+2   D)  h > m+2

Solution

Problem 9 :

Find the volume of a cube when each side x is 10 feet

Solution

Problem 10 :

The rectangle shown at the right has an area of 32 square units. Write an equation to find the width x.

Solution

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

Problems 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.

Problem 3 :

Arthur is 8 years younger than Janet

Solution

Problem 4 :

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

Solution

Problem 5 :

5 more than a number is 6.

Solution

Problem 6 :

The product of 7 and b is equal to 63.

Solution

Problem 7 :

The sum of r and 45 is 79.

Solution

Problem 8 :

The quotient of x and 7 is equal to 13.

Solution

More Practice Questions

Solutions