From Words to Equations

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

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 the sentence into an equation:

Four more than six times a number is 18.

• 6x - 4 = 18

• 4x + 6 = 18

• 6x + 4 = 18

• not enough info

Translate this phrase into an algebraic equation:

Six fewer than twice a number is four.

• 6 - 2x = 4

• 2x - 6 = 4

• x² - 6 = 4

• 6 - x² = 4

Translate this phrase into an algebraic equation:

One third of a number increased by 7 is 13

• 1/3 ÷ n + 7 = 13

• 1/3(n+7) = 13

• 1/3n + 7 = 13

Translate this phrase into an algebraic equation:

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

Translate this phrase into an algebraic equation:

Twice the difference of a number and 16 is equivalent to 28.

• 2x + 16 = 28

• 2x - 16 = 28

• 2(x + 16) = 28

• 2(x - 16) = 28