Equations and Inequalities

• x = -.06

• x = 1.67

• x = 0.6

• x = 1

Which of the following is true about the graph?

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A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal. Which answer below satisfies the equation for the problem

• 4.75x = 54 + 2.5x

• y-54 + 2.5

• y = 54 + 2.5x

• answer not shown

Solve the equation 14x – 34 = 11x + 29

• 12

• 21

• -22

• -21

Solve the equation below.

-4 – 0.2x + 11 = -0.8x + 10

• -6

• 6

• 12

• 1

Joe’s Catering Company charges a $45 set-up fee plus $12.50 per person. Jimmy’s catering company charges a $75 set up fee plus $7.50 per person. Which inequality could be used to determine x, the number of people for which Joe’s Catering Company would be less expensive than Jimmy’s catering company?

• 45 + 12.5x > 75 + 7.5x

• 45 + 12.5x ≥ 75 + 7.5x

• 45 + 12.5x < 75 + 7.5x

• 45 + 12.5x ≤ 75 + 7.5x

Which of the following is the value of x needed to make the equation true? -18 + 3x + x = -4x + 50

• x = 11.3

• x = 4.5

• x = 8.5

• x = -4.5

Solve:
5y+34 = -2(-7y+1)

• y = -4

• y = 9

• y = 4

• y = 36/19

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6

• x = 6

• x = 3