Student Answer Appendix SA-8 17 75. 5 71.a 73. 30 259 Section 4.8 Solving Equations Containing Fractions Example 8 Solving an Equation by First Clearing Fractions 35 Skill Practice 3 Solve. Solve. x2 7 1 3 14 X 3 8 8 4 Solution: 4 4 3 is 14. 14 2 = 14 The LCD of -—х, -2, and 7 (2)- ( = 14 14 Multiply both sides by 14. 14 4 +14 (-2) = 14 3 Use the distributive property to 14 X multiply each term by 14. 14 Avoiding Mistakes 2 +14 (-2) 14 14 Be sure to multiply each term by 14. This includes the constant X Simplify each term. 14 term, -2 -8x 28 3 The fractions have been "cleared." -8x 28 +28 3 +28 Add 28 to both sides to isolate the x term. - 8x = 31 Apply the division property of equality to isolate x. -8x 31 2 1 -8 -8 31 The solution is -and checks in the original equation. 31 Answer = x 8. 26 8. Section 4.8 Practice Exercises e-Professors ALEKS Practice Problems Boost your GRADE at ALEKS.com! Videos Self-Tests Version 3.0 NetTutor Meicns mmended that you write an explanation for xnlanation iN MAT O022 Chapter 1: 1-21.8

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.