Multi-Step Equations

Solving Multi-Step Equations

Learning Target: I can solve multi-step algebraic equations.

Open Ended

How do you apply the distributive property?

Multiple Choice

Janice had x color pencils in her box and shares them equally with her friend, Talia. Her brother gives her 2 more color pencils. Janice now has 3 pencils in her box.

• $$\frac{x}{2}+\ 3\ =\ 2$$

• 2x - 2 = 3

• $$\frac{x}{2}-2\ =\ 3$$

• $$\frac{x}{2}+\ 2\ =\ 3$$

Draw

Solve the equation for x.

$$\frac{x}{2}+2\ =\ 3$$

Learning Target:

I can solve multi-step equations.

Checklist to Solving Multi-Step Equations

1. Apply the Distributive Property

2. Combine Like Terms

3. Eliminate the Constant Term

4. Eliminate the Coefficient

Learning Target: I can solve multi-step algebraic equations.

Draw

Solve the following equation for x.

−13 = 5(1+4m)−2m

Multiple Choice

Find out in which step did the student make a mistake.

• Step 1

  Apply the distributive property

• Step 2

  Combining the Like Terms

• Step 3

  Eliminate the Constant Term

• Step 4

  Eliminate the Coefficient

​Independent Task

Write your full name on the loose leaf paper

Write your class and date

Write the title Solving Multi-Step Algebraic Equations

​Mild	​Medium	​Spicy 🌶️
​6=−3(x+2)	​​-(2x + 7) + 5x = 23	​2(5x + 5) + 5x - 5 = 50
​−3(4r−8)=−36	​4(2x + 7) + 5x = 46	​4(2x + 7) + 5x = 46
−12=2+5v+2v	6v + 8 - v = 48	​4(2x + 2) + 5x - 2 - x = 42

Open Ended

What are the step you should take to solve multi-step equations?