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Translating Equations and Word Problems

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Translating Equations and Word Problems
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

One - third of the sum of a number and 24 is equivalent to 10.  

1⁄3(x + 24) = 10 

1⁄3x + 24 = 10 

1⁄3(x - 24) = 10 

1⁄3x + 10 = 24 

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Twice the difference of a number and 16 is equivalent to 28.

2x + 16 = 28

2x - 16 = 28 

2(x + 16) = 28 

2(x - 16) = 28

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Three-halves the difference of a number of 22 is equivalent to 45.  

3⁄2(x + 22) = 45

3⁄2x - 22 = 45

3⁄2(x - 22) = 45

3⁄2x + 22 = 45

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A rectangle has a perimeter of 70 feet. Its length is five more than twice its width. Which equation can be used to determine the width of the rectangle?

2x + 5 = 70 

3x + 5 = 70 

6x + 10 = 70 

5x + 2 = 70

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A rectangle has a perimeter of 100 inches. Its length is one more than two and a half times its width. Which equation can be used to determine the width of the rectangle? 

2.5x + 1 = 100 

3.5x + 1 = 100 

5x + 2 = 100 

7x + 2 = 100 

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Lexi's Great Grandmother is twelve years older than six times her age. The sum of their ages is 117. Which equation can be used to determine Lexi's age?

6x - 12 = 117

7x - 12 = 117

7x + 12 = 117

6x + 12 = 117

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The sum of three consecutive integers is 147. Which equation can be used to find the first integer?

3x = 147

x + 3 = 147 

x + x + 1 + x + 2 = 147 

x ⋅ x ⋅ x = 147 

Tags

CCSS.HSA.CED.A.3

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