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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Quadratic Equations, Functions, and Inequalities
The Quadratic Formula

Warm-Ups



1

Completing the square is used to develop the quadratic formula.
A)TRUE
B)FALSE
2

For the equation 3x2 = 4x - 7, we have a = 3, b = 4, and c = -7.
A)TRUE
B)FALSE
3

If dx2 + ex + f = 0 and d ≠ 0, then x = (-e ±(e2 - 4df)1/2)/2d.
A)TRUE
B)FALSE
4

The quadratic formula will not work on the equation x2 - 3 = 0.
A)TRUE
B)FALSE
5

If a = 2, b = -3, and c = -4, then b2 - 4ac = 41.
A)TRUE
B)FALSE
6

If the discriminant is zero, then there are no imaginary solutions.
A)TRUE
B)FALSE
7

If b2 - 4ac > 0, then ax2 + bx + c = 0 has two real solutions.
A)TRUE
B)FALSE
8

To solve 2x - x2 = 0 by the quadratic formula, let a = -1, b = 2, and c = 0.
A)TRUE
B)FALSE
9

Two numbers that have a sum of 6 can be represented by x and x + 6.
A)TRUE
B)FALSE
10

Some quadratic equations have one real and one imaginary solution.
A)TRUE
B)FALSE








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