Do Now 10/1/09Do Now 10/1/09 Copy HW in your planner.Copy HW in your planner.

– Text page 137-139, #32-62 evenText page 137-139, #32-62 even

Be ready to finish the Chapter 2 Test. Get Be ready to finish the Chapter 2 Test. Get your calculators from the back of the room. your calculators from the back of the room. You will have 3 minutes to check your test You will have 3 minutes to check your test with a calculator. with a calculator.

In your journal, answer complete the In your journal, answer complete the following. Draw a picture of what an following. Draw a picture of what an equation looks like to you. Then use your equation looks like to you. Then use your picture to solve an equation of your own. picture to solve an equation of your own.

ObjectiveObjective SWBAT solve one-step equations SWBAT solve one-step equations

using algebrausing algebra

Equation-Equation-mathematical sentence mathematical sentence with an equal signwith an equal sign

Like a scale, both sidesmust be balanced

Solving an EquationSolving an Equation How can you get the “unknown” by How can you get the “unknown” by itself?itself?

““Undo” the operation by using the Undo” the operation by using the INVERSEINVERSE (opposite) operation to both sides of the (opposite) operation to both sides of the

equation.equation.

Addition and Subtraction Properties of Addition and Subtraction Properties of EqualityEquality

Adding or subtracting both sides of the Adding or subtracting both sides of the equation by the same nonzero number equation by the same nonzero number produces an produces an EQUIVALENT EQUATIONEQUIVALENT EQUATION..

Solving Addition Solving Addition Equations…Equations…

m + 24 = -18m + 24 = -18- 24 24 -2424

m = -42m = -42

Isolate the variable! Get ‘m’ by itself.Isolate the variable! Get ‘m’ by itself.

To get the ‘m’To get the ‘m’by itself get rid ofby itself get rid of““adding 24.”adding 24.”

Do the opposite.Do the opposite.““Subtract 24.”Subtract 24.”

Whatever you do toWhatever you do toone side of the equationone side of the equationyou must do the other side.you must do the other side.

Check Your Work!Check Your Work!

m + 24 = -18m + 24 = -18m = -42m = -42

((-42-42) + 24 = -18) + 24 = -18Are both sides equal?Are both sides equal?

Try It OutTry It Out

1). x + 7 = 41). x + 7 = 4

2). 7 = 9 + h2). 7 = 9 + h

3). 13 = x + 73). 13 = x + 7

4). f – 0.4 = 3.14). f – 0.4 = 3.1

1). 1). (-3)(-3) + 7 = 4 + 7 = 4

2). 7 = 9 +2). 7 = 9 +(-2)(-2)

3). 13 = 3). 13 = (6)(6) + 7 + 7

4).4).(3.5) (3.5) – 0.4 = – 0.4 = 3.13.1

Solving Subtraction Solving Subtraction Equations…Equations…

-13 = y - 15-13 = y - 15+15 +15 +15 +15

2 = y2 = y

Isolate the variable! Get ‘y’ by itself.Isolate the variable! Get ‘y’ by itself.To get the ‘y’To get the ‘y’by itself get rid ofby itself get rid of““subtracting 15.”subtracting 15.”

Do the opposite.Do the opposite.““Add 15.”Add 15.”

Whatever you do toWhatever you do toone side of the equationone side of the equationyou must do the other side.you must do the other side.

Check Your Work!Check Your Work!

-13 = y - 15-13 = y - 15

2 = y2 = y-13 = (-13 = (22) - 15) - 15

Are both sides equal?Are both sides equal?

Try It OutTry It Out

1). t - 7 = -31). t - 7 = -3

2). 6 = w - 32). 6 = w - 3

3). ¾ = r – 2½ 3). ¾ = r – 2½

4). -1.5 = p - 74). -1.5 = p - 7

1). 1). (4)(4) - 7 = -3 - 7 = -3

2). 6 = 2). 6 = (9)(9) - 3 - 3

3). ¾ = 3). ¾ = (3¼)(3¼)– 2½ – 2½

4). -1.5 = 4). -1.5 = (5.5)(5.5) - 7 - 7

Solving an EquationSolving an Equation How can you get the “unknown” by How can you get the “unknown” by itself?itself?

““Undo” the operation by using the Undo” the operation by using the INVERSEINVERSE (opposite) operation to both sides of the (opposite) operation to both sides of the

equation.equation.

Multiplication and Division Properties of Multiplication and Division Properties of EqualityEquality

Multiplying or dividing both sides of the Multiplying or dividing both sides of the equation by the same nonzero number equation by the same nonzero number produces an produces an EQUIVALENT EQUATIONEQUIVALENT EQUATION..

Solving a Multiplication Solving a Multiplication EquationEquation

-2y = 28-2y = 28 -2 -2-2 -2y = -14y = -14

““Undo” Undo” multiplicationmultiplication by dividing by dividing both sides of both sides of the equationthe equation

Check Your Work!Check Your Work!

-2y = 28-2y = 28

y = -14y = -14-2(-2(-14-14) = 28) = 28Are both sides equal?Are both sides equal?

Try It OutTry It Out

1). -7t = 631). -7t = 63

2). -144 = 12d2). -144 = 12d

3). 10x = 53). 10x = 5

4). -1.5g = -74). -1.5g = -7

1). -71). -7(-9)(-9) = 63 = 63

2). -144 = 122). -144 = 12(-12)(-12)

3). 103). 10(1/2)(1/2) = 5 = 5

4). -1.54). -1.5(4.67)(4.67)= -7= -7

Solving a Division Solving a Division EquationEquation

j = -7j = -7 5 555·· ·· 5 5

j = -35j = -35

““Undo” Undo” division by division by multiplying multiplying

both both sides of the sides of the

equationequation

Check Your Work!Check Your Work! j = -7j = -755 j = -35j = -35

Are both sides equal?Are both sides equal?

-35-35 = -7 = -7 5 5

Try It OutTry It Out

1). 1). -16-16 ÷ 8 = -2 ÷ 8 = -2

2). 2). 3232 = 8 = 8 4 4

3). 9 = 3). 9 = 4545 5 5

4). 4). -14-14/7 = -2/7 = -2

1). r ÷ 8 = -21). r ÷ 8 = -2

2). v = 82). v = 8 4 4

3). 9 = a3). 9 = a 5 5

4). e/-7= -24). e/-7= -2

Find the width of the Find the width of the rectangle.rectangle.

Area = 38 cmArea = 38 cm²²

xx

22

Area = 27 mArea = 27 m²²zz

99x = 19x = 19

z = 3z = 3

HomeworkHomework

Text page 137-139, #32-62 evenText page 137-139, #32-62 even