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Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6 x = 42 3. 71 – z = 55 4.

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Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6 x = 42 3. 71 – z = 55 4. - PowerPoint PPT Presentation


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9/28/10 Solve Equations . Solving Two-Step Equations. 11-1. y 8. Course 2. Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6 x = 42 3. 71 – z = 55 4. n = 8. x = 7. z = 16. y = 72. = 9. Today’s Plan: -Entry Task & Correct Homework

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slide1

9/28/10 Solve Equations

Solving Two-Step Equations

11-1

y

8

Course 2

Warm Up

Solve, showing all steps.

1.n + 9 = 17

2. 6x = 42

3. 71 – z = 55

4.

n = 8

x = 7

z = 16

y = 72

= 9

Today’s Plan:

-Entry Task & Correct Homework

-Solve Equations

-Practice

Learning Target:

-I will solve equations with addition, subtraction, multiplication, or division.

slide2

9/28/10 Solve Equations

Solving Two-Step Equations

11-1

Course 2

Correct Homework

Today’s Plan:

-Entry Task & Correct Homework

-Solve Equations

-Practice

Learning Target:

-I will solve equations with addition, subtraction, multiplication, or division.

slide3

Solving Two-Step Equations

11-1

Course 2

When you solve equations that have one

operation, you use an inverse operation to

isolate the variable. You can also use inverse

operations to solve equations that have more

than one operation.

2x + 3 = 23

n + 7 = 15

– 7–7

– 3– 3

n = 8

2x = 20

You need to use

another operation

to isolate x.

It is often a good plan to follow the order of

operations in reverse when solving equations

that have more than one operation.

slide4

Solving Two-Step Equations

11-1

9c

9

= 36

9

Course 2

Additional Example 1A: Solving Two-Step Equations Using Division

Solve. Check each answer.

A. 9c + 3 = 39

9c + 3 = 39

Subtract 3 from both sides.

– 3–3

9c = 36

Divide both sides by 9.

c = 4

slide5

Solving Two-Step Equations

11-1

Course 2

Additional Example 1A Continued

Check.

9c + 3 = 39

?

=

9(4) + 3

39

Substitute 4 for c.

?

=

36 + 3 39

?

=

39 39

4 is a solution.

slide6

Solving Two-Step Equations

11-1

7c

7

= 42

7

Course 2

Try This: Example 1A

Solve. Check each answer.

A. 7c + 6 = 48

7c + 6 = 48

Subtract 6 from both sides.

– 6–6

7c = 42

Divide both sides by 7.

c = 6

slide7

Solving Two-Step Equations

11-1

Course 2

Insert Lesson Title Here

Try This: Example 1A Continued

Check.

7c + 6 = 48

?

=

7(6) + 6

48

Substitute 6 for c.

?

=

42 + 6 48

?

=

48 48

6 is a solution.

slide8

Solving Two-Step Equations

11-1

Course 2

Additional Example 2A: Solving Two-Step Equations Using Multiplication

Solve.

y

5

A. 6 +

= 21

y

5

= 21

6 +

– 6 –6

Subtract 6 from both sides.

y

5

= 15

y

5

(5)

= (5)15

Multiply both sides by 5.

y = 75

slide9

Solving Two-Step Equations

11-1

+11 +11

Course 2

Additional Example 2B: Solving Two-Step Equations Using Multiplication

Solve.

x

7

– 11 = 9

B.

x

7

– 11 = 9

Add 11 to both sides.

x

7

= 20

x

7

Multiply both sides by 7.

= (7)20

(7)

x = 140

slide10

Solving Two-Step Equations

11-1

Course 2

Insert Lesson Title Here

Try This: Example 2A

Solve.

y

2

A. 8 +

= 48

y

2

= 48

8 +

– 8–8

Subtract 8 from both sides.

y

2

= 40

y

2

= (2)40

Multiply both sides by 2.

(2)

y = 80

slide11

Solving Two-Step Equations

11-1

Course 2

Insert Lesson Title Here

Try This: Example 2B

Solve.

x

5

– 31 = 19

B.

x

5

– 31 = 19

+31+31

Add 31 to both sides.

x

5

= 50

x

5

Multiply both sides by 5.

= (5)50

(5)

x = 250

slide12

9/28/10 Solve Equations

Solving Two-Step Equations

11-1

Course 2

Assignment # 9

Solving 2-step Equations

Pg 562 #1, 4, 8, 11, 15, 25, 26

Today’s Plan:

-Entry Task & Correct Homework

-Solve Equations

-Practice

Learning Target:

-I will solve equations with addition, subtraction, multiplication, or division.