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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 44 Page 108

Practice makes perfect

a Any expression in the form a(b) is equivalent to multiplying a and b.

5x(3x)=5x* 3x ⇔ 5* x* 3* x Note that multiplication is commutative, so we can rearrange the factors any way we want without changing the result.

5* x* 3* x

CommutativePropMult

Commutative Property of Multiplication

5* 3* x * x

Multiply

15x * x

ProdToPowTwoFac

a* a=a^2

15x^2

b When adding two x-terms, we can factor out x and add the coefficients.

5x+3x

Factor out x

(5+3)x

Add terms

8x

c Any expression in the form a(b) is equivalent to multiplying a and b.

6x* x

ProdToPowTwoFac

a* a=a^2

6x^2

d When adding two variables, we can factor out x and then add the coefficients.

6x+x

Factor out x

(6+1)x

Add terms

7x

Subchapter links

3.2.1 Equations - Algebra Tiles p.107-108

3.2.2 Exploring an Area Model p.110-111

3.2.3 Multiplying Binomials and the Distributive Property p.114

3.2.4 Using Generic Rectangles to Multiply p.118