Converting Word Sentences into Algebraic Equations

Eight less than a number is twenty four

• x = 24 - 8

• x = 8 - 24

• x - 8 = 24

• 8 - x = 24

The difference between a number and two

• x - 2

• 2 - x

• x/2

• x and 2

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

Translate: two times the sum of a number and five

• 2 + y + 5

• 2y + 5

• 2(y + 5)

• 2 − y + 5

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

• 57g + 3

• 3g + 57

• 3g − 57

• 57 + 3g

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

4 less than x

• 4 − x

• x − 4

• 4x

• −4x

Three less than twice a number

• 2x − 3

• 3x − 2

• 3 − 2x

• 2 − 3x