Solving Equations from Models

What is the solution to this equation?

3x + 4 = 2x - 4

• 1.6

• 8

• 7

• -8

What value of k makes this equation true?

• k = -2
• k = -8
• k = 8/3
• k = 2

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. Write an equation and solve to find out how many pounds it will take for UPS and FedEx to cost the same.

• 15 pounds

• 20 pounds

• 120 pounds

• 4 pounds

What value of w makes the following equation true?

8w - 8 = - 4w + 16

• 8

• 16

• 24

• 2

What value of x makes this model true?

• -4

• -2

• -1

• 3

Christian made an 80 on his test and got x number of bonus points. Juan made a 70 on the same test but got twice as many bonus points. How many bonus points would Christian had to have gotten for their final score to be the same?

• 20

• 10

• 15

• 30

What value of x makes the following equation true?

5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 24 miles

• 60 miles

• 88 miles

What is the value of x for this model?

• -2

• 6

• 2

• 4

The lengths of two boards are (5x+24) and (9x-17). What is the value of x if the two boards are congruent?

• 1.75

• 13.2

• 0.5

• 10.25