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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Rational Expressions
Solving Equations with Rational Expressions

Warm-Ups



1

The LCD is not used in solving equations with rational expressions.
A)TRUE
B)FALSE
2

To solve the equation x2 = 8x, we divide each side by x.
A)TRUE
B)FALSE
3

An extraneous solution is an irrational number.
A)TRUE
B)FALSE
4

Use the following equations for Questions 4–10.

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To solve Eq. (a), we must add the expressions on the left-hand side.
A)TRUE
B)FALSE
5

Both 0 and 2 satisfy Eq. (a).
A)TRUE
B)FALSE
6

To solve Eq. (a), we multiply each side by 3x2 - 6x.
A)TRUE
B)FALSE
7

The only solution to Eq. (b) is 4.
A)TRUE
B)FALSE
8

Equation (b) is equivalent to 4 + 2x = 3x.
A)TRUE
B)FALSE
9

To solve Eq. (c), we multiply each side by x2 - 1.
A)TRUE
B)FALSE
10

The numbers 1 and -1 do not satisfy Eq. (c).
A)TRUE
B)FALSE