Warm UpSolve.

1. (9) - (-7)

2. -8 + (-2)

3. -3 - (-6)

4. 6 + (-2)

16

-10

Course 3

10-2 Solving Multistep Equations

3

4

Continue Learning to solve multi-step equations.

Course 3

10-2 Solving Multistep Equations

To solve a complicated equation, you may have to simplify the equation first by combining like terms.

Course 3

10-2 Solving Multistep Equations

Solve.

8x + 6 + 3x – 2 = 37

Additional Example 1: Solving Equations That Contain Like Terms

11x + 4 = 37 Combine like terms.

– 4 – 4 Subtract to undo addition.11x = 33

x = 3

Divide to undo multiplication.

3311

11x11

=

Course 3

10-2 Solving Multistep Equations

Solve.

9x + 5 + 4x – 2 = 42

Try This: Example 1

13x + 3 = 42 Combine like terms.

– 3 – 3 Subtract to undo addition.13x = 39

x = 3

Course 3

10-2 Solving Multistep Equations

Divide to undo multiplication.

3913

13x13

=

Solve.

36 - 4c – 3c = 22

Try This: Example 2

-7c + 36 = 22 Combine like terms.

–36 –36 Subtract to undo addition.-7c = -14

c = 2

Course 3

10-2 Solving Multistep Equations

Divide to undo multiplication.

-14-7

-7c-7

=

3h – 80 = 46 Combine like terms.

+ 80 +80 Add 80 to both sides.

3h = 126

3h3

1263= Divide both sides

by 3.h = 42

Course 3

10-2 Solving Multistep Equations

h + 2h – 26 – 54 = 46

When Mr. and Mrs. Wesner left for the store, Mrs. Wesner had three times as much money as Mr. Wesner had. While shopping, Mr. Wesner spent $50 and Mrs. Wesner spent $25. When they arrived home, they had a total of $25. How much did Mr. Wesner have when he left home?

Try This: Example 3

Let h represent the amount of money that Mr. Wesner had when he left home. So Mrs. Wesner had 3h when she left home.

h + 3h – 50 – 25 = 25Mr. Wesner $ + Mrs. Wesner $ – Mr. Wesner spent – Mrs. Wesner spent = amount leftCourse 3

10-2 Solving Multistep Equations

Try This: Example 3 Continued

4h – 75 = 25 Combine like terms.

+ 75 +75 Add 75 to both sides.

4h = 100

4h4

1004= Divide both sides

by 4.h = 25

Mr. Wesner had $25 when he left home.

Course 3

10-2 Solving Multistep Equations

Solve.

1. 6x + 3x – x + 9 = 33

2. –9 = 5x + 21 + 3x

3. + =

5. Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Last week she worked 52 hours and earned $544. What is her hourly rate?

Lesson Quiz

x = –3.75

x = 3

Insert Lesson Title Here

x = 2858

x8

33 8

6x 7

4. – =2x21

2521

$8.50

x = 1 916

Course 3

10-2 Solving Multistep Equations