Algebraic Word Problems

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles

• 20 miles

• 22 miles

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

Translate the statement into an equation:
Five less than a number is 6

• n - 5 = 6

• 5 - n = 6

There are r rows of chairs with 7 chairs in each row. Choose the expression that shows the number of chairs in total.

• 7r

• 7/r

• r-7

• r+7

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

• g+29

• g-29

• 29g

• g ÷ 29

Twice a number is 24.

• 2n = 24

• 2/n = 24

• 2 + n = 24

• 2 - n = 24

Translate this sentence into an equation.

72 is the product of 8 and Steve's age.

Use the variable h to represent Steve's age.

• 72 = 8 + h

• 72 = 8h

• 72 = 8 - h

• 72 = 8/h

Translate this phrase into an algebraic expression.
24 more than Vivian's test score. 
Use d to represent Vivian's test score.

• 24d

• d - 24

• d + 24

• d/24

Five less than twice a number is equivalent to 47.

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

Translate this phrase into an algebraic expression:

Triple a number increased by 16

• 3(16) + n

• 16n + 3

• 3n + 16

• 2n - 16