Model and Solve One-Variable, Two-Step Equations and Inequalities

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 50

• 20

• 15

• 25

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x

• 80+9.50x < 120+7.50x

• 80x+9.50 > 120x+7.50

• 80x+9.50 < 120x+7.50

solve for m

• -3/4

• 9

• -20/3

Which equation matches this model?

• 7x + 3 = 23

• 2x + 4= 10

• 3x  - 8 = 3

• 4x + 3 =9

Solve the equation.

5x + 6 = 31

• x= 5

• x = 7

• x = -4

• x = 10

Solve for a

• a= -2

• a= -7.5

• a= 2

• a= 6

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

Solve and graph the inequality.
7n - 1 > 76

• A

• B

• C

• D

Choose the correct graph that best describes the solution for each inequality.

• A

• B

• C

• D