Algebraic Expressions from Word

What does "product" mean?

• Multiply
• Divide
• Add
• Subract

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

• 8 − 4m

• 8m − 4

• 8m + 4

• 4m − 8

Write an algebraic expression for:

three times a number plus 16

• 3(16) + n

• 16n + 3

• 3n + 16

What does "difference" mean?

• add
• subtract 
• multiply
• divide

Translate: two times the sum of a number and five

• 2 + y + 5

• 2y + 5

• 2(y + 5)

• 2 − y + 5

a number more than 12

• x ÷ 12

• 12n

• 12 + n

• 12 - n

m plus the product of 6 and n

• m + 6n

• m − 6 + n

• 6m + n

• m + 6 + n

Five less than twice a number is equivalent to 47. 

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

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

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 
• Subtract 62 from each side.
• Multiply each side by 62.
• Add 123 to each side.