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Transcript Answer to Homework

Warm ups - simplify

3(

x

4) + 5

x

+ 10 5 + 2(

y

+ 3) 7

y

+ 1 8

x

+ 7(2

y

3) 3

x

5(2

x

4) 3(

x

+ 1)

Math Binder

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2.

3.

4.

5.

Current Notes Old Notes Homework Review Sheets Quizzes/Tests

3-3 Solving Multistep Equations

Objective: To solve equations using add., subt., mult., and division.

Examples 1 – 3 (watch & listen)

y

5n + 6 = -4

-6 -6 5n = -10 5 5

n = -2 17 = 7y + 87

5 (5) 6 -9 -9

y

  3 (5) 5

y

  15

Examples 4 – 6 (do with me)

0.6

n

d

4 2 = 3

x

3 8

Example 7 – 9 (with a partner)

3

y

8

d

 1   6 3 

x

 30

x

TOO (Try on your own)

5

p

4

m

5 31

Solve.

3(

x

5 3

x

 2 5  2(

x

 3)  7

x

 1

Recap with a partner…

1) 2) Explain to your partner how to solve a multi-step equation. Explain how to solve the following equation: 3 2

a

Homework

Pg. 160 # 17 – 33 odd Check your answers in the back of the book.

Math Lab

 Review today ’ s lesson  Homework  Please finish worksheets from last week: 

Why did the ant run across the cracker box?

What did the Spanish Farmer say to his chicken?

Objective

The student will be able to:

solve two-step equations.

Designed by Skip Tyler, Varina High School

To solve two-step equations, undo the operations by working backwards.

x

Example: 2 7 Recall the order of operations as you answer these questions.

Ask yourself, 1.

What is the first thing we are doing to x?

2.

What is the second thing?

• • Dividing by 2 Subtracting 3 To undo these steps, do the opposite operations in opposite order.

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2.

3.

4.

5.

6.

1) Solve 2x - 1 = -3

+ 1

Draw “ the river ” Add 1 to both sides Simplify Divide both sides by 2 Simplify Check your answer

2( 2x = -2 2 2 -1 + 1 x = -1 ) - 1 = -3 -2 – 1 = -3

3.

4.

5.

6.

1.

2.

2) Solve

Draw “ the river ” Add 4 to both sides Simplify Clear the fraction -Multiply both sides by 3 Simplify Check your answer

x

8 3

+ 4 + 4 3 ·

x

3  12

x = 36 · 3

36 3 8 12 – 4 = 8

Try these on your own...

x = 3 7 y = 8 -2 -2z = -12 4w = 16 2x = 12 3 3x = 9 -4

The answers...

x = 21 y = -16 z = 6 w = 4 x = 18 x = -12