1. Rational Numbers & Equations
Lesson 4.3
Rational Numbers & Equations
Solving Two-Step Equations

2. Warm-Up Solve each equation. Show your work and check the solution.
–6x = – 42
6 = 8 + y
p = –12
h = 24.7
x = 7
y = –2

3. Solving Two-Step Equations
Lesson 4.3
Solving Two-Step Equations
Solve two-step equations.

4. Example 1
Solve the equation for the variable. Check the solution. Write the equation. Subtract 2 from both sides of the equation. Multiply each side by 7.  Check the solution. x = –56 –2 –2

5. Example 2
Solve the equation for x. Check the solution. 12 – 5x = 2 Subtract 12 from both sides. Divide each side by (–5).  Check the solution x = 2
12 – 5x = 2
– –12
–5x = –10
x = 2
12 – 5(2) = 2
12 – 10 = 2
2 = 2 –5 –5

6. Example 3
Deborah opened an ice cream stand at the local pool last summer. She spent $148 on a freezer to start her business. She earned a profit of $0.75 for each ice cream cone she sold. She earned a total of $452 during the summer. How many ice cream cones did Deborah sell? Write the equation: Add 148 to both sides. Divide each side by  Check the solution. Deborah sold 800 ice cream cones last summer.
0.75x – 148 = 452
0.75x = 600
x = 800
0.75(800) –
600 –
452 = 452

7. Communication Prompt
What do you think are the most common errors students
make when solving a two-step equation? Why do you
think this is?

8. Exit Problems
Solve each equation. Show your work and check the solution. 1. 2x – 8 = –5 = m + 4 = 7 4. –8 + = 2
x = 10
y = –18
m = 5
b = 60