Solving Two-Step Equations with Rational Coefficients

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

• 4x+2=10

• 6x=10

• 2x+4=10

• 6x=10x

I can solve two step equations that first involve combining applying the distributive property. Solve for x: 3+2\left(x+2\right)=13

• 4

• 3

• 9

• -3

• 7

• -1

• 5

-9x-13= -103

• 15

• 10

• 12

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

What is the capital of France?

• Paris

• London

• Berlin

• Madrid

If the coefficient of the variable is a fraction, dividing both sides by a fraction is the same as...

• dividing by a whole number

• subtracting the fraction

• using order of operations

• multiplying by the reciprocal

Solve the equation. Check your solution.

• -90

• 90

• -40

• -180

-1/3y-6=-11

• 15

• 35

• -15

• 35

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