1. Solving Two-Step Equations
Lesson 5
Linear Equations
Solving Two-Step Equations

2. Warm-Up Write an equation for each statement and solve to
determine the unknown number.
The sum of a number and twenty is eighty-seven.
The quotient of a number and four is negative six.
A number decreased by three tenths is one and two tenths.

3. Solving Two-Step Equations
Target:
Solve two-step equations.

4. Example 1
Solve the equation for x. Check the solution. 8x – 3 = x = x = 11 8(11) – 3 = 88 – 3 = 85

5. Example 2
Solve the equation for x. Check the solution.

6. Example 3 Use an equation mat to illustrate and solve the equation
Set up the mat.
Add four positive chips.
Divide into equal groups.
Solution: x = 5

7. Example 4
Eight more than 3 times a number is 29. Write and solve an equation to find the value of the number. 3x + 8 = 29 – 8 – 8 3x = x = 7
3(7) + 8 = = 29

8. Exit Problems
Solve each equation for x.
4x + 5 = 49
5 – 2x = 25

9. Communication Prompt
Why is it important to show your work and check your solution when solving an equation?