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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

3. Modeling With Quadratic Functions

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Exercise 42 Page 214

Recall that two or more terms in an algebraic expression are like terms if they have the same variable(s) with the same exponent(s).

6x^2-10x-3

Practice makes perfect

The first step in simplifying this expression is to identify which, if any, terms are like terms. Recall that two or more terms in an algebraic expression are like terms if they have the same variable(s) with the same exponent(s). 6x^2 - 4(3)x + 2x - 3 In this case, we have an x^2-term, two x-terms, and a constant. Only the x-terms can be combined, so to simplify the expression we will first evaluate the multiplication and then combine like terms.

6x^2-4(3)x+2x-3

Multiply

6x^2-12x+2x-3

Add terms

6x^2-10x-3

Subchapter links

Lesson Check p.212

Practice and Problem-Solving Exercises p.212-214

Standardized Test Prep p.214

Mixed Review p.214