Translating Equations with One Variable

Tony is 3 years less than twice Joan's age. Tony is 27 years old. How old is Joan?

• 11

• 12

• 15

• 24

Which matches the equation below?

3x −11 = 17

• Eleven less than the product of a number and three equals seventeen.

• Three times a number, increased by seventeen is eleven.

• Seventeen less than the product of three and a number is eleven.

The difference of four times a number and six.

• 4x − 6

• 4x + 6

• 6x − 4

• 

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Which matches the expression below?

• The quotient of a number and seven, decreased by four.

• Four more than a number divided by seven.

• The difference of a number divided by seven and four.

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

Seven more than twice a number n is 1.

(Don't put any spaces in your answer.)

Translate the following:

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

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

One quarter the difference of a number and twenty eight is equal to nine.

• 0.25x - 28 = 9

• x - 7 = 9

Fifteen less than half a number is equivalent to eleven.

• (1/2)x + 15 = 11

• 2x - 15 = 11

• 15 - (1/2)x = 11

• (1/2)x - 15 = 11