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Core Connections Algebra 1, 2013
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Core Connections Algebra 1, 2013 View details
2. Section 3.2
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Exercise 33 Page 107

Practice makes perfect
a

Let's begin by identifying like terms.

2x+ 3x+ 3+ 4x^2+ 10+ xWe can simplify like terms by combining them.

Term Expression Simplify
x 2x+ 3x+ x 6x
x^2 4x^2 4x^2
Constants 3+ 10 13

Having combined like terms, we can write the final expression. 4x^2+6x+13
b

Let's begin by identifying like terms.

4x+ 4y^2+ y^2+ 9+ 10+ x+ 3xWe can simplify like terms by combining them.

Term Expression Simplify
x 4x+ x+ 3x 8x
y^2 4y^2+ y^2 5y^2
Constant 9+ 10 19

Having combined like terms, we can write the final expression. 5y^2+8x+19
c

Let's begin by identifying like terms.

2x^2+ 30+ 3x^2+ 4x^2+ 14+ xWe can simplify like terms by combining them.

Term Expression Simplify
x x x
x^2 2x^2+ 3x^2+ 4x^2 9x^2
Constants 30+ 14 44

Having combined like terms, we can write the final expression. 9x^2+x+44
d

Let's begin by identifying like terms.

20+ 5xy+ 4y^2+ 10+ y^2+ xyWe can simplify like terms by combining them.

Term Expression Simplify
y^2 4y^2+ y^2 5y^2
xy 5xy+ xy 6xy
Constants 20+ 10 30

Having combined like terms, we can write the final expression. 5y^2+6xy+30
Subchapter links expand_more
arrow_right 3.2.1 Equations - Algebra Tiles p.107-108
33
34
Equations - Algebra Tiles 35 (Page 107)
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Equations - Algebra Tiles 37 (Page 107)
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Equations - Algebra Tiles 39 (Page 108)
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Equations - Algebra Tiles 42 (Page 108)
Equations - Algebra Tiles 43 (Page 108)
Equations - Algebra Tiles 44 (Page 108)
arrow_right 3.2.2 Exploring an Area Model p.110-111
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Exploring an Area Model 52 (Page 111)
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arrow_right 3.2.3 Multiplying Binomials and the Distributive Property p.114
Multiplying Binomials and the Distributive Property 58 (Page 114)
Multiplying Binomials and the Distributive Property 59 (Page 114)
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Multiplying Binomials and the Distributive Property 62 (Page 114)
Multiplying Binomials and the Distributive Property 63 (Page 114)
arrow_right 3.2.4 Using Generic Rectangles to Multiply p.118
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Using Generic Rectangles to Multiply 72 (Page 118)
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