Solving Equations and Inequalities

What value of x makes 72 = 6x + 2x true?

What is the solution to 4y + 5(y + 2) = 64?

Rewrite c = ab to solve for b.

What is the solution to 3x + 2(x + 11) = 6x

• x = 2

• x = 22

• x = -22

• x = 11

What value of x makes -5(x + 12) = -10 true?

Which inequality describes all the solutions to -8w > 32

• w < 40

• w > 40

• w > -4

• w < -4

Select the correct equation for the following situation:

Four more than twice a number is 20

• 2x + 4 > 20

• 2x + 4 = 20

• 2x - 4 = 20

• 2(x + 4) = 20

Select the correct equation for the following situation:

Michael recently went on a trip with some friends. He does not remember how much money he started the trip with, but he knows that he spent $42 and currently has $140 in his account. Which equation can be solved to find how much money Michael began the trip with?

• x - 40 = 140

• x + 40 = 140

• 140 - 40 = x

• x + 140 = 40

For his birthday, the maximum that Jason is allowed to spend at the movies is $25. He already purchased his movie ticket for $10. Candy that he wishes to purchase for the movie will cost $3.50 each. Which inequality can be used to find the maximum number of candies, c, that he can purchase?

Maya wants to raise at least $500 during her food drive this year for girl scouts. She has already gathered $150, and will make $5 for each box of cookies that she sells. Which inequality can be used to determine the number of boxes of cookies, b, that Maya must sell to raise at least $500?