Algebra 1 Word Problems Equations

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 

The sum of two consecutive integers is 179. Which equation can be used to find the integers? 

• 3x = 179

• x + 3 = 179 

• x + x + 1 = 179

• x + x + 2 = 179

The length of a rectangle is 4 times the width. The perimeter is 60 cm. What equation represents how to find the length and width?

• 2(4w) + 2w = 60

• 2w + 2w = 60

• w + 5x = 60

• 8w = 60

The length of a rectangle is 12cm less than the width. The perimeter is 156cm. Find the width.

**only write the number in your answer

What is the equation for this problem?

Two more than 5 times a number is 77. Find the number.

• 2x + 5 = 77

• 5 - 77 = 2x

• 5x + 2 = 77

• 5x - 2 = 77

What is the equation for this problem? The length of a rectangle is 3 times the width. The perimeter is 96cm. Find the width and length.

• 3w + w = 96

• 2(3w) + w = 96

• 2(3w) + 2w = 96

• 3w + 2w = 96

How should you define the variables? The length of a rectangle is 3 times the width. The perimeter is 96cm. Find the width and length.

• Let w = width

  Let 3w = length

• Let x = length

  Let 3x = width

• Let w = width

  Let w + 3 = length

• Let x = length

  Let x + 3 = width

The length of a rectangle is 12 cm less than the width. The perimeter is 156 cm. Which equation represents how to find the length and the width?

• 4x + 24 = 156

• 2x - 12 = 156

• 2x + 12 = 156

• 4x - 24 = 156

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60

• 61

• 62

• 63

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

• 6

• 9

• 12

• 27

• 36