Math Equations and Expressions

Which situation can be solved using the equation 13r = 156?

• A book has r number of chapters. If it takes John 156 minutes to read each chapter, he will have read 13 chapters.

• A bakery sold 13 pies on Monday, and each pie costs r dollars. The bakery made a total of $156.

• Susan spent $156 on a new shirt for $13 and a new dress for r dollars.

• A bus driver made 13 stops along the route. There were r number of people left at the end of his route, and he picked up a total of 156 people during the route.

Simplify the expression 7(4x + 3y)

Are the two expressions equivalent?

6(4d + p) and 4(6d + 2p)

• Yes - both expressions simplify to 24d + 6p

• No - one expression is 24d + 6p and the other is 24d + 8p

Which equation has a solution of c = 9?

• 2c + 2 = 16

• 9c = 99

• 3c + 1 = 30

• 6c - 4 = 50

Simplify:

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Choose the algebraic expression that matches the verbal phrase.

• A) 2x + 3

• B) x^2 - 4

• C) 5 - x

• D) 3x + 7

What value of x makes the equation true:

x + 13 = 20

What value of y makes the equation true:

3y = 120

Which expression is represented correctly?

• "Fifty-seven more than the product of 2 and f" can be written as "57 × 2f"

• "Thirteen less than p" can be written as "13 - p"

• "Seventy-one less than the sum of a and 5" can be written as (a + 5) - 71

• "The difference of twice a and 6" can be written as "a² - 6"

Darcy earns $80 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression shows the amount of money she earned?

• 80xy

• 80(x + y)

• 80 ÷ (x + y)

• 80x + y