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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Radicals and Rational Exponents
Solving Equations with Radicals and Exponents

Warm-Ups



1

The equations x2 = 4 and x = 2 are equivalent.
A)TRUE
B)FALSE
2

The equation x2 = -25 has no real solution.
A)TRUE
B)FALSE
3

There is no solution to the equation x2 = 0.
A)TRUE
B)FALSE
4

The equation x3 = 8 is equivalent to x = ±2.
A)TRUE
B)FALSE
5

The equation -x1/2 = 16 has no real solution.
A)TRUE
B)FALSE
6

To solve (x - 3)1/2 = (2x + 5)1/2, first apply the even-root property.
A)TRUE
B)FALSE
7

Extraneous solutions are solutions that cannot be found.
A)TRUE
B)FALSE
8

Squaring both sides of x1/2 = -7 yields an equation with an extraneous solution.
A)TRUE
B)FALSE
9

The equations x2 - 6 = 0 and x = ±61/2 are equivalent.
A)TRUE
B)FALSE
10

Cubing each side of an equation will not produce an extraneous solution.
A)TRUE
B)FALSE








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