Do Now 1/26/10Do Now 1/26/10 Take out HW from last night.Take out HW from last night.

Text p. 249, #12-32 evensText p. 249, #12-32 evens

Copy HW in your planner.Copy HW in your planner. Text p. 256, #14-38 evensText p. 256, #14-38 evens Quiz sections 5.4 -5.7 FridayQuiz sections 5.4 -5.7 Friday

In your notebook, explain what steps In your notebook, explain what steps you would take in order to solve the you would take in order to solve the following equation. Then solve. following equation. Then solve.

42

51

7

2

14

5 x

3

22x

HomeworkHomework Text page 249, #12-32 evens Text page 249, #12-32 evens

12) 40 12) 40 14) -4814) -48 16) -1 1/316) -1 1/3 18) -1 2/518) -1 2/5 20) 11 2/320) 11 2/3 22) 3322) 33 24) -1/424) -1/4 26) 2/326) 2/3 28) 31/3528) 31/35

30a) 5/8 square inches30a) 5/8 square inches 30b) 3/4x30b) 3/4x 30c) 5/8 + 3/4x = 1; 30c) 5/8 + 3/4x = 1;

x = 1/2 inchx = 1/2 inch 32a) 1/532a) 1/5 32b) 3750 spectators32b) 3750 spectators 32c) 1000 home team 32c) 1000 home team

fansfans

3

1

5

4

15

11 x

15

7

15

11 x

11

7x

Remember this???

Multiply each side of the equation by the Multiply each side of the equation by the MULTIPLICATIVE INVERSEMULTIPLICATIVE INVERSE of -7/15 of -7/15

Divide (cancel) Divide (cancel) common factorscommon factors

11

15

15

71x

MultiplyMultiply

11

15

11

15

5

4

3

1

5

4

5

4

15

11

x

Subtract 4/5 from each side.Subtract 4/5 from each side.Write fractions using LCDWrite fractions using LCD

15

12

15

5

11

-1-1

To solve equations To solve equations with fractions, so with fractions, so far you followed far you followed these steps:these steps:

(1) Undo addition (1) Undo addition and/or subtraction and/or subtraction to get the variable to get the variable alone on one side alone on one side of the equation.of the equation.

(2) Multiply both (2) Multiply both sides of the sides of the equation by the equation by the multiplicative multiplicative inverse of the inverse of the variable term.variable term.

ObjectiveObjective

SWBAT use the LCD to solve SWBAT use the LCD to solve equations and inequalities.equations and inequalities.

Section 5.7, “Equations and Section 5.7, “Equations and Inequalities with Rational Inequalities with Rational

Numbers” Numbers”

**Another way to solve an equation **Another way to solve an equation with fractions is to clear fractions by with fractions is to clear fractions by multiplying the multiplying the WHOLE EQUATIONWHOLE EQUATION by by the LCD of the fractions. the LCD of the fractions.

The resulting equation is equivalent to The resulting equation is equivalent to the original equation WITHOUT fractions. the original equation WITHOUT fractions.

3

1

5

4

15

11 x

3

1

5

4

15

11 x

11

7

11

11

x

Two-step equation. Solve for x.Two-step equation. Solve for x.

15 15

3

1

5

4

15

11x

Find LCD of all fractions in the Find LCD of all fractions in the equation, then multiply the whole equation, then multiply the whole equation by the LCD.equation by the LCD.

Solving Equations by Clearing Solving Equations by Clearing FractionsFractions

Use distributive property and simplify Use distributive property and simplify each termeach term of the equation. of the equation. 15 15

125121211 x

711 x

11

7x

x11 512

Try It Out!!Try It Out!!Solve Solve

5

4

10

7

2

1x

5

1x

6

1

4

3

9

2 x

6

1

4

3

9

2 x 36

27

2x

10

5

4

10

7

2

1x

875 x

6278 x

m8.014.53.2

m8.014.53.2

80

80

80

284 m

Two-step equation. Solve for m.Two-step equation. Solve for m.

100

100

m8.014.53.2

Look for the greatest number of decimal Look for the greatest number of decimal places. Then multiply the WHOLE places. Then multiply the WHOLE EQUATION by that power of 10.EQUATION by that power of 10.

Solving Equations by Clearing Solving Equations by Clearing DecimalsDecimals

Use distributive property and Use distributive property and simplify simplify each termeach term of the equation. of the equation.

100 100

m80514514)514(230

m80284

55.3m

230 m80514

Try It Out!!Try It Out!!Solve Solve

16.2368.7 y

2.2y

104.62 z 104.62 z 10

25.1z

100 16.2368.7 y

2316600780 y

1006420 z

4

1

8

1

4

3 x

4

1

8

1

4

3 x

6

1

6

6

x

Two-step inequality. Solve for x.Two-step inequality. Solve for x.

8 8

4

1

8

1

4

3x

Find LCD of all fractions in the Find LCD of all fractions in the inequality, then multiply the whole inequality, then multiply the whole inequality by the LCD.inequality by the LCD.

Solving Inequalities by Clearing Solving Inequalities by Clearing FractionsFractions

Use distributive property and simplify Use distributive property and simplify each termeach term of the inequality. of the inequality. 8 8

12116 x

16 x

6

1x

x6 21

Don’t forget to flip the Don’t forget to flip the inequality when dividing by a inequality when dividing by a negative.negative.

Try It Out!!Try It Out!!Solve Solve

9

214

5

1x

9

868x

7

6

56

53

7

1x

7

6

56

53

7

1x 56

8

5x

45

9

214

5

1x

106309 x

48538 x

HomeworkHomework

Text p. 256, #14-38 evensText p. 256, #14-38 evens

HomeworkHomework Punchline worksheet #79 and practice Punchline worksheet #79 and practice

worksheet 5.6 Form B evensworksheet 5.6 Form B evens

2) 222) 22 4) 304) 30 6) 386) 38 8) 1 3/48) 1 3/4 10) -11/2410) -11/24 12) -5/1412) -5/14 14) 3514) 35 16) -3616) -36 18) 2218) 22 20) -1/520) -1/5 22) -1/622) -1/6 24) 1/1024) 1/10 26) 80 days26) 80 days

Flu Shot: A JAB WELL Flu Shot: A JAB WELL DONEDONE

Fourth of July: JUST Fourth of July: JUST UNDER EIGHT DAYSUNDER EIGHT DAYS

Practice worksheet 5.6 B evens Punchline worksheet #79