AnswersFL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Unit test Answers

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Which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 + 2x – 1 into the quadratic formula below?Quadratic formula: x =

Question illustration
A
x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction
Option A
B
x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4(4)(1) EndRoot Over 2(4) EndFraction
Option B
C
x = StartFraction negative 2 plus or minus StartRoot 2 squared + 4(4)(negative 1) EndRoot Over 2(4) EndFraction
Option C
D
x = StartFraction negative 2 plus or minus StartRoot negative 2 squared minus 4(4)(negative 1) EndRoot Over 2(4) EndFraction
Option D
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What is the first step in solving the quadratic equation -5x2+8=133?

A
taking the square root of both sides of the equation
B
subtracting 8 from both sides of the equation
C
squaring both sides of the equation
D
adding 8 to both sides of the equation
43

What are the solutions to x2 + 8x + 7 = 0?

A
x = –8 and x = –7
B
x = –7 and x = –1
C
x = 1 and x = 7
D
x = 7 and x = 8
44

What are the solution(s) of the quadratic equation 98 – x2 = 0?

A
x =
Option A
B
x =
Option B
C
x =
Option C
D
no real solution
45

A function g(x) has x-intercepts at (, 0) and (6, 0). Which could be g(x)?

Question illustration
A
g(x) = 2(x + 1)(x + 6)
B
g(x) = (x – 6)(2x – 1)
C
g(x) = 2(x – 2)(x – 6)
D
g(x) = (x + 6)(x + 2)
46

Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b, and c into the formula. Which is Ramiya’s quadratic equation?Quadratic formula: x =

Question illustration
A
0 = x2 + 3x + 2
B
0 = x2 – 3x + 2
C
0 = 2x2 + 3x + 1
D
0 = 2x2 – 3x + 1
47

Which function has real zeros at x = 3 and x = 7?

A
f(x) = x2 + 4x – 21
B
f(x) = x2 – 4x – 21
C
f(x) = x2 – 10x + 21
D
f(x) = x2 – 10x – 21
48

What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?

A
The discriminant is equal to 0, which means the equation has no real number solutions.
B
The discriminant is equal to 0, which means the equation has one real number solution.
C
The discriminant is equal to 128, which means the equation has no real number solutions.
D
The discriminant is equal to 128, which means the equation has two real number solutions.
49

Two positive integers are 3 units apart on a number line. Their product is 108.

A
m(m – 3) = 108
B
m(m + 3) = 108
C
(m + 3)(m – 3) = 108
D
(m – 12)(m – 9) = 108
50

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

Question illustration
A
a = , b = 3, c = 2
Option A
B
a = , b = –3, c = –2
Option B
C
a = , b = 3, c = –2
Option C
D
a = , b = –3, c = 2
Option D

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