Translating Equation Word Problems

10 less that half a number is equivalent to 8.  

• 10 - 1⁄2x = 8 

• 1⁄2x + 10 = 8

• 1⁄2x - 10 = 8

• 10x - 0.5 = 8

• Seven times a number decreased by six is ten.

• The quantity of six times a number plus seven is ten.

• Six more than seven times a number is ten.

• Seven more than six times a number is ten.

Twice the sum of a number and 5 is 22.
What is the number

• 3

• 4

• 5

• 6

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

Given the equation:

y = 10x - 20, select the scenario that matched the equation where x is the number of miles walked and y is the total money raised.

• $10 donation and $20 per mile.

• $10 per mile and $20 donation

• $10 per mile and a gift for the sponsor was purchased for $20

• $20 per mile and a gift for the sponsor was purchased for $10

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?

• 30 minutes

• 60 minutes

• 250 minutes

• 300 minutes

At the bowling alley, Mary spent $6 on shoe rental and had to pay $4 per game. Select the equation below that represents Mary's total cost, y, for x number of games bowled.

• y = 6 - 4x

• y = 10x

• y = 6x + 4

• y = 4x + 6

Maya earned 10 points extra credit on her next test. Each question is worth 4 points. Which equation below matches this situation where x is the number of questions and y is the total amount of points earned.

• x = 4y + 10

• y = 10x + 4

• y = 14x

• y = 4x + 10

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

• 12.5x +9 = 43.73

• 73.43 = 12.5x + 9

• 12.5 - 9x = 43.73

• 43.73 = 12.5 + 9x

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

• 3(x + 5) = 17

• 3x + 5 = 17

• 5(x + 3) = 17

• 5x + 3 = 17