WARMUPS

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WARMUPS

1. 3XY 4XY 6X 8X 5
2. (2XY)(4XY) (4XY)(7XY)
3. 6X 5X 3X 9Y 3Y
4. (3X)(3X)(3X)(3X)
5. DRAW A FROG

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HOMEWORK

• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN

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The Distributive Property Combining Like Terms
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The product of a and (b c)

2(x 5)
2(x) 2(5)
2x 10

a(b c) ab ac
2x 10
(b c)a ba ca
(x 5)2
(x)2 (5)2


y(1 x)


y(1) y(x)
y xy


(1 5x)2
(1)2 (5x)2
2 10x
BACK
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Remember that a factor must multiply each term of
an expression.
Distribute the 3.
(3)(1 x)
(3)(1) (3)(x)
Simplify.
3 3x
(y 5)
(y)(1) (5)(1)
Distribute the 1.
Simplify.
y 5
(1)(7) (1)(3x)
a 1 a
(7 3x)
Simplify.
7 3x
Forgetting to distribute the negative sign when
multiplying by a negative factor is a common
error.
BACK
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Like Terms are expressions that contain the same
variable raised to the same power like 4mn and
7mn.
11x y
8x 3x y
The 8x and 3x are like terms and can be combined.
4x2 2 x2 - 6
4x2 1 x2 2 - 6
Group like terms.
5x2 - 4
Combine like terms.
BACK
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BACK
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Combine like terms with parenthesis
BACK
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Objectives

• Use the Distributive Property to solve equations.
• Solve real-world problems by using multistep
  equations.

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Key Skills
Use the distributive property.
Solve 3(x - 4) 48
Solve 3(x - 4) 48
3 x 3 -4 48
Multiply
Add both sides of the sign.
3x - 12 48
12 12
Divide both sides of the sign by 3.
3x 60
3 3
x 20
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Key Skills
TRY THIS
Use the distributive property.
Solve 5(x 2) 35
Solve 5(x 2) 35
5 x 5 2 35
Multiply
Subtract 10 from both sides of the sign.
5x 10 35
-10 -10
Divide both sides of the sign by 3.
5x 25
5 5
x 5
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Key Skills
Combine like terms that are on the same side of
the sign.
Solve 3y 8 y 6
Solve 3y 8 y 6
2y 8 6
Add 8 to both sides of the sign.
8 8
2y 14
Divide both sides of the equal sign by 2
2 2
y 7
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Key Skills
TRY THIS
Combine like terms that are on the same side of
the sign.
Solve 6y 2 3y 8
Solve 6y 2 3y 8
3y 2 8
Subtract 2 from both sides of
the sign.
-2 -2
3y 6
Divide both sides of the equal sign by 3
3 3
y 2
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Key Skills
Solve
4x -8(x 1) 8
4x -8(x 1) 8
Distribute -8
4x -8 x -8 1 8
Multiply
4x -8x -8 8
4x -8x -8 8
Combine like terms.
-4x -8 8
Add 8 to both sides of the sign.
8 8
-4x 16
Divide both sides of the equal sign by -4
-4 -4
x -4
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Key Skills

• Use the Distributive Property to solve multistep
  equations.

Solve 8x 2(3x 4) 5x 7.
Solve 8x 2(3x 4) 5x 7.
Distributive -2
Multiply.
8x (2)(3x) (2)(4) 5x 7
Combine like terms that are on the same side of
the sign.
8x 6x 8 5x 7
8x 6x 8 5x 7
2x 8 5x 7
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Subtract 2x from both sides of the sign.
2x 8 5x 7
-2x -2x
Add 7 to both sides of the sign.
8 3x -7
7 7
Divide both sides of the sign by 3
15 3x
3 3
5 x
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Key Skills
TRY THIS

• Use the Distributive Property to solve multistep
  equations.

Solve 4y 7(y 6) 5y 2.
Solve 4y 7(y 6) 5y 2.
Distributive -7
4y (7)(y) (7)(6) 5y 2
Multiply.
Combine like terms that are on the same side of
the sign.
4y 7y -42 5y 2
4y 7y -42 5y 2
-3y -42 5y 2
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Add 3y to both sides of the sign.
-3y -42 5y 2
3y 3y
Add 2 to both sides of the sign.
-42 8y -2
2 2
Divide both sides of the sign by 8
-40 8y
8 8
-5 y
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The Distributive Property Combining Like Terms
BACK
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HOMEWORK

• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN

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EXPRESSIONS

• MONDAY - BRING CALCULATORS

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REVIEW MATHEMATICS TIME TRIAL FOUR

• DESCRIBE COEFFICIENT, VARIABLES, CONSTANT

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REVIEW 1USE THE DISTRIBUTIVE PROPERTY TO
REWRITE4A ( 3A2 5A3 )
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REVIEW 2REWRITE THE EXPRESSION6S2( - 5S2
2S2)
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REVIEW 3SIMPLIFY5AR 6AR2 7AR2 3AR
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REVIEW 4SIMPLIFY5AR2 5AR2 5AR2 5AR
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REVIEW 5SIMPLIFY(5XY2)(3XY2 - 2XY X)
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REVIEW 6COMBINE THE TERMS5S 3Y - G 19
S - G - 2
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REVIEW 7 SIMPLIFY (3AB 4AB) (2AB
6AB)
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REVIEW 8SIMPLIFY FOR A 4, B 5, C
6-4AB3C
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REVIEW 9SIMPLIFY (X2 Y)(X2Y)
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REVIEW 10SIMPLIFY(2AB22AB - 2A) (3AB2
3AB A)
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REVIEW 11USE THE DISTRIBUTIVE PROPERTY-B (
-A - B - C)
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REVIEW 12SIMPLIFY(AB) (AB) (AB) (AB) (AB)
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REVIEW 13SIMPLIFYM 36 48 - 2M
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REVIEW 144AB2 5AB2 - 3AB 9AB2
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REVIEW 152G2 2G2 2G 2G
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REVIEW 16150 10R - 5R - 50
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HOMEWORKCATTLE HANDOUT

• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN