Algebraic Word Problems

y minus 12

• y + 12
• y - 12
• y x 12
• y / 12

Three times a number increased by nine

• 3h-9
• 3(h-9)
• 3(h+9)
• 3h+9

Translate this phrase into an algebraic expression.

8 less than the product of 4 and the number m

• 8 - 4m

• 8m - 4

• 8m + 4

• 4m - 8

• 15

• 1.667

• 8

p + 95 = 215

What is the best first step to solve this equation?

• Add 95 to both sides.

• Subtract 215 from both sides.

• Subtract 95 from both sides.

• Subtract "p" from both sides.

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 
• 2x - 5 = 47 
• 5x - 2 = 47 
• 2 - 5x = 47 

Write the phrase as an expression. "10 less than a number n"

• 10-n
• n-10
• n+10
• 10-n

The length of a rectangle is 3 centimetres more than its width. If the perimeter is 42 cm, find the dimensions of the rectangle.

• 9 cm by 12 cm

• 3 cm by 14 cm

• 10 cm by 11 cm

• 8 cm by 13 cm

Write an Equation.
Lee is 32 years younger than his mother and his mother is 67 years old. How old is Lee?

• x + 32 = 67
• x - 32 = 67
• 32x = 67
• x/32 = 67

Find two consecutive numbers whose sum is 115.

• 57 and 58

• 44 and 45

• 56 and 57

• 225 and 226