Solve Equations with Variables on Both Sides

Write the equation for the model.

• 3x - 7x = 2x + 5x

• 3x + 5 = 2x - 7

• 3x - 7 = 2x + 5

3x = 15 - 2x

• x = 9

• x = 3

• x = -3

• x = 6

8 - 3a + 12 = 2a

• a = 4

• a = 1

• a = 3

• a = 5

Choose the correct first step for this equation.

• Subtract 2x from both sides.

• Subtract 7x from both sides.

• Sutbract 20 from 2x.

• Subtract 5n from both sides.

• Add 14 to 3n

• Subtract 6 from 5n

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 + 2.5x = 10 + 3x

• 15 - 2.5x = 10

• 15 - 10 = 2.5x + 3x

Tags

8.8.A

8w - 8 = - 4x + 16

• 8

• 16

• 24

• 2

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

14p - 8 = 22 + 20p

• -5

• 5

• 30

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?