Modeling and Solving Two-Step Equations

What was done to solve the equation?

• add 8 to both sides, then divide both sides by 5

• add 8 to both sides, then divide both sides by 40

• subtract 8 from both sides, then divide both sides by 5

• subtract 8 from both sides, then multiply both sides by 5

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

• -24

• -9

• -6

• 6

I can write two-step equations to model real-world situations and then solve the equations. An ice cream shop is expected to sell 300 cones in a day. They have already sold 75 cones today and expect to sell 50 cones an hour for the remainder of the day. How many hours will the shop need to meet their goal? Write an equation

• 300+50=75x

• 50x+75=300

• 75x+50=300

• 75x+50x=300x

I can write two-step equations to model real-world situations and then solve the equations. An ice cream shop is expected to sell 300 cones in a day. They have already sold 75 cones today and expect to sell 50 cones an hour for the remainder of the day. How many hours will the shop need to meet their goal?

• 5

• 4.5

• 3.33

• 175

I can write two-step algebraic equations based on modeling tiles

• 4x+2=10

• 6x=10

• 2x+4=10

• 6x=10x

• -3

• 7

• -1

• 5

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

• x = 5/3

• x = 3

• x = 1

• x = 2

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

• y = -4

• y = 9

• y = 4

• y = 36/19

Solve the equation
12x - 15 = 3(2x + 3)

• x = 4

• x = -4

• x = 2

• x = -2