Warm Up Solve. 1. (9) - (-7) 2. - 8 + (-2) 3. -3 - (-6) 4. 6 + (-2)
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Transcript of Warm Up Solve. 1. (9) - (-7) 2. - 8 + (-2) 3. -3 - (-6) 4. 6 + (-2)
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