Translating Equations from Word Problems

• Five times the sum of a number and two is thirty-two

• Two times the sum of a number and five is thirty-two

• A number times the sum of five and two is thirty-two

• The sum of five times a number and two is thirty-two

Translate the following:

Three times the difference of a number and nine is seventy-two.

**Use x as your variable and no spaces.**

Translate the following:

Seven less than the difference of five times a number and two.

**Use x as your variable and no spaces.**

Don earns $1400 a week for working 40 hours and an additional $17.50 an hour for each hour over 40. Last week, Don made $1452.50. How many hours over 40 did he work?

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

Translate the following: Fifteen plus the difference of twice a number and three is forty-five.

• 15 + 2x - 3 = 45

• 15 + (2x - 3) = 45

• (15 + 2x) + 3 = 45

• 15 (2x + 3) = 45

Five times the sum of x and 5 is 8 less than twice x. Solve for x.

Nine more than the quotient of a number and three is negative twenty-four. Solve for the variable.

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

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