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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Factoring
Solving Quadratic Equations by Factoring
Warm-Ups
1
The equation x(x + 2) = 3 is equivalent to x = 3 or x + 2 = 3.
A)
TRUE
B)
FALSE
2
Equations solved by factoring always have two different solutions.
A)
TRUE
B)
FALSE
3
The equation a · d = 0 is equivalent to a = 0 or d = 0.
A)
TRUE
B)
FALSE
4
If x is the width in feet of a rectangular room and the length is 5 feet longer than the width, then the area is x
2
+ 5x square feet.
A)
TRUE
B)
FALSE
5
Both 1 and -4 are solutions to the equation (x - 1)(x + 4) = 0.
A)
TRUE
B)
FALSE
6
If a, b, and c are the sides of any triangle, then a
2
+ b
2
= c
2
.
A)
TRUE
B)
FALSE
7
If the perimeter of a rectangular room is 50 feet, then the sum of the length and width is 25 feet.
A)
TRUE
B)
FALSE
8
Equations solved by factoring may have more than two solutions.
A)
TRUE
B)
FALSE
9
Both 0 and 2 are solutions to the equation x(x - 2) = 0.
A)
TRUE
B)
FALSE
10
The solutions to 3(x - 2)(x + 5) = 0 are 3, 2, and -5.
A)
TRUE
B)
FALSE
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