Download presentation

Presentation is loading. Please wait.

Published byJuliana Franklin Modified over 7 years ago

1
Solving Two-Step Equations You will solve equations by undoing operations using properties of equality. Essential Question: How do you solve two-step equations?

2
EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 Write original equation. + 5 = x 2 11 + 5 – 5 = x 2 11 – 5 Subtraction Property of Equality = x 2 6 Simplify. 2 = x 2 2 6 Multiplication Property of Equality. x = 12 Simplify. ANSWER The solution is 12. Check by substituting 12 for x in the original equation.

3
EXAMPLE 1 Solve a two-step equation CHECK + 5 = x 2 11 Write original equation. 11 + 5 = 12 2 ? Substitute 12 for x. Simplify. Solution checks. 11 = 11

4
GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. 1. 5x + 9 = 24 SOLUTION 5x + 9 = 24 Write original equation. 5x + 9 – 9 = 24 – 9 Subtraction Property of Equality 5x = 15 Simplify. 5x5x 5 = 15 5 Division Property of Equality x = 3 Simplify.

5
GUIDED PRACTICE for Example 1 CHECK Simplify. Solution check. Substitute 3 for x. ANSWER The solution is 3. Check by substituting 3 for x in the original equation. 5x + 9 = 24 Write original equation. 24 5 3 + 9 = ? 24 = 24

6
GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. 2. 4y – 4 = 16 SOLUTION 4y – 4 = 16 Write original equation. 4y – 4 + 4 = 16 + 4 Addition Property of Equality 4y = 20 Simplify. 4y4y 4 20 4 = Division Property of Equality. y =5 Simplify.

7
GUIDED PRACTICE for Example 1 ANSWER The solution is 5. Check by substituting 5 for y in the original equation. CHECK Simplify. Solution checks. Substitute 5 for y. 4y – 4 = 16 Write original equation. 16 4(5) – 4 = ? 16 = 16

8
GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. SOLUTION Write original equation. Add 7 to each side. Simplify. Multiply each side by 3. Simplify. 3. – 1 = –7 z 3 – 1 = z 3 – 7– 1 + 7 = z 3 – 7 + 7 6 = z 3 3 z 3 3 18 = z

9
GUIDED PRACTICE for Example 1 ANSWER The solution is 18. Check by substituting 18 for z in the original equation. CHECK Simplify. Solution checks. Substitute 18 for z. Write original equation. – 1 = z 3 – 7 18 3 – 7– 1 = ? – 1

10
Solve a two-step equation by combining like terms EXAMPLE 2 Solve 7x – 4x = 21 7x – 4x = 21 Write original equation. 3x = 21 Combine like terms. Divide each side by 3. x = 7 Simplify. = 3 3x3x 3 21

11
GUIDED PRACTICE for Examples 2 and 3 8t – 3t = 35 Write original equation. 5t = 35 Substract the like terms Divide each side by 5 t = 7 Simplify. 5 = 5t5t 5 35 5. 8t – 3t = 35 Solve the equation. Check your solution.

12
GUIDED PRACTICE for Examples 2 and 3 CHECK 8t – 3t = 35 Write original equation. Multiply. 35 =35 8(7) – 3(7) = 35 ? Substitute 7 for t. 56 – 21 = 35 ? Simplify. Solution checks.

13
GUIDED PRACTICE for Example 4 10. Kim has a job where she makes $8 per hour plus tips. Yesterday, Kim made $53 dollars, $13 of which was from tips. How many hours did she work? Jobs Write the equation 53–13 = 13 –13 + 8h 53 = 13 + 8h 40 = 8h Simplify. Subtraction Property of Equality. SOLUTION 5 = h Division Property of Equality

14
GUIDED PRACTICE for Example 4 ANSWER She worked for 5 hours

15
Essential Question: How do you solve two-step equations?

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google