Core Connections: Course 2
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Core Connections: Course 2 View details
1. Section 7.1
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Exercise 13 Page 383

Practice makes perfect
The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. (- 3) + 4x + 2 + 2x + 2x In this case, we have three x-terms and two constant terms. Both the x-terms and constant terms can be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
(- 3)+4x+2+2x+2x
4x+2x+2x+(- 3)+2
x(4+2+2)+(- 3)+2
x(8)+(- 1)
8x+(- 1)
8x-1
The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. - 8x + 4 + (- 3) In this case, we have one x-term and two constant terms. Only the constant terms can be combined, so to simplify the expression we will combine like terms.
- 8x+4+(- 3)
- 8x+4-3
- 8x+1
The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined. 7x^2 + 3x + 4 + 7x^2 + 3x + 4 In this case, we have two x^2-terms, two x-terms, and two constant terms. Both the x^2-terms, x-terms and constant terms can be combined. Now, we can rearrange the expression according to the Commutative Property of Addition and then combine like terms.
7x^2+3x+4+7x^2+3x+4
7x^2+7x^2+3x+3x+4+4
x^2(7+7)+3x+3x+4+4
x^2(7+7)+x(3+3)+4+4
x^2(14)+x(6)+8
14x^2+6x+8
We want to simplify the given expression. 5(x-4) We can use the Distributive Property to get rid of the parentheses. This will also let us see the correct coefficients for any terms with variables.
5(x-4)
5x+5(-4)
5x+(- 20)
5x-20