Word Problems

Three times the sum of a number and 7 is equivalent to 57. 

• 3x + 7 = 57 
• 3(x + 7) = 57
• 7x + 3 = 57 
• 7(x + 3) = 57

Five times a number is equivalent to thirty-two less than nine time the same number. 

• 5x - 32 = 9x 
• 5x = 9x - 32 
• 5x = 9x + 32 
• 5x - 9x = 32 

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width?

• 2x + 5 = 150

• 4x + 10 = 150

• 4x + 5 = 150

• 2x + 10 = 150

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?

• 10x = 60

• 4x = 60

• 5x = 60

• 8x = 60

The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74, find the numbers.

• 35,39

• 35,60

The width of a rectangle is 12 cm less than the length. 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 first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the second side. The perimeter is 63 m. Which equation represents how to find the length of each side?

• 3x - 3 = 63

• 6x - 3 = 63

• 3x = 63

• 3x + 3 = 63

Find three consecutive even integers whose sum is 84.

• 26, 28, 30
• 28, 30, 32
• 27, 28, 29
• 24, 26, 28