Translating Equations from Word Problems

Five times a number is equivalent to thirty-two less than nine time the same number. 

• 5x - 32 = 9x 

• 5x = 9x - 32 

• 5x = 9x + 32 

• 5x - 9x = 32 

Eight less than three times a number is equivalent to ten more than one and half times the same number. 

• 3x - 8 = 0.5x + 10 

• 8 - 3x = 1.5x + 10 

• 3x - 8 = 1.5x + 10

• 8 - 3x = 0.5x + 10

Translate this sentence into an equation.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.

• 72 = 8 + h

• 72 = 8h

• 72 = 8 - h

• 72 = 8/h

Twice a number is 24.

• 2n = 24

• 2/n = 24

• 2 + n = 24

• 2 - n = 24

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

• n - 5 = 6

• 5 - n = 6

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

Translate this phrase intoan 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

Chad runs c miles each week. Brenda runs 2 miles more each week than Clint. Together they run a total of 22 miles.  Write an expression for the number of miles Chad runs each week.

• 2c + 2 = 22

• c + 2 = 22

• 22 + 2 = c

• 2c - c = 22

After paying $5.12 for a salad, Daxton has $27.10. How much money did he have before buying the salad? (What is the unknown and what would be the equation?)

• n=amount of $ he had at 1st; n + $5.12 = $27.10

• n=cost of the salad; n - $5.12 = $27.10

• n=amount of $ he had at 1st; n - $5.12 = $27.10

• n=amount of $ he had at 1st; $5.12 - n = $27.10

Your cell phone bill is $21.20.  The company charges $0.25 per call. Let c = number of calls.  Write an equation to find how many calls you made.

• 0.25c = 21.20

• c - 0.25 = 21.20

• c + 0.25 = 21.20

• 0.25 ÷ c = 21.20