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WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 • = 28 4. ÷ 3 = 5 5. 3 • + 4 = 22 4 13 7 15 6
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WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Jan 20, 2018

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Scot Eaton

OBJECTIVE LANGUAGE: IWBAT show the steps to solve a two-step equation, identify orally the coefficient, variable, constant, and solution.
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Page 1: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

WARM-UP1. + 3 = 7

2. - 5 = 8

3. 4 • = 28

4. ÷ 3 = 5

5. 3 • + 4 = 22

4 13

7 15

6

Page 2: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

OBJECTIVECONTENT:

IWBAT solve two-step equations.

Page 3: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

OBJECTIVELANGUAGE:

IWBAT show the steps to solve a two-step equation, identify orally the coefficient, variable, constant, and solution.

Page 4: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Expressions

• Number 8 -7 ½• Variable

x a t

Page 5: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Expressions

• String of both with operations connecting them.

Page 6: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Expressions

x + 5

7 – y

5x

x

4a – 2

3x + 7bh 3x2 –

5x3a2 – 5a + 7

7

Page 7: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Expressions

5x+ 3Variable Term Constant

Page 8: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Variable Term

5x

Coefficient Variable

Page 9: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Expression Variable Term Constant Coefficient Variable

5x + 7 5x 7 5 x

2a – 6 2a -6 2 a

-7b + 1 -7b 1 -7 b

8 + 9s 9s 8 9 s

4t 4t 0 4 t

n – 8 n -8 1 n

-½ x – 2 -½ x -2 -½ x

Page 10: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Equation

• Two expressions set equal (=) to each other.

Page 11: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Equations

x + 5 = 2

7 – y = 1

5x = 25

x

17 = 4a – 2

5 = 3x + 7A = bh – 5x =

23x + 2 = 5x - 4

7 = 10

Page 12: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Algebraic Equation

• Equations have an equal sign!!

=

Page 13: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

Variable Term?5x

Page 14: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

Constant?3

Page 15: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

Solution?38

Page 16: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

• Solving a two-step equation

Page 17: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

• Step 1: Draw a line through the equal sign

LEFT RIGHT

Page 18: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

• Step 2: Identify the variable term

Page 19: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations

5x + 3 = 38

• Step 3: Opposite of constant under constant and solution

- 3 - 3

Page 20: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations5x + 3 = 38

- 3 - 35x

=35

Page 21: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations• Step 4: Divide the Coefficient

Page 22: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Two – Step Equations5x + 3 = 38

- 3 - 35x

=355 5

x = 7

Page 23: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve4c – 5 = 19

+ 5

+ 54c =24

4 4c = 6

Page 24: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve8 + 3y = -1- 8 -8

3y

= -93 3y = -3

Page 25: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve7 – 2a = 15- 7 -7

-2a= 8-2 -2a = -4

Page 26: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve-21 = 3a – 6

+ 6

+ 6-15=3a

33-5= a

Page 27: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve17 = -11 + 4p

+ 11

+ 1128= 4p

447 =p

Page 28: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve7w = 63

7 7w= 9

Page 29: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solvey – 9 = -15

+ 9

+ 9y = -6

Page 30: WARM-UP 1. + 3 = 7 2. - 5 = 8 3. 4 = 284. ÷ 3 = 5 5. 3 + 4 = 22 413 7 15 6.

Solve-22 = -8 – s

+ 8+ 8-14= -s

-1-114

= s