Answers FL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Unit test Answers

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Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

isolating the constant 1

adding 4 to both sides of the equation

isolating the second term, –4x

adding 1 to both sides of the equation

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Which is a solution to the equation?(x − 3)(x − 5) = 35

x = −8

x = −5

x = 2

x = 10

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

{–7, 1}

(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)

(3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)

{1, 7}

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

x = –6 or x =

x = –4 or x =

x = or x = 6

x = or x = 4

A quadratic equation of the form 0 = ax2 + bx + c has one real number solution. Which could be the equation?

0 = 2x2 – 4x + 1

0 = 2x2 – 5x + 3

0 = –2x2 – 4x – 2

0 = –2x2 – 3x – 1

Which function has real zeros at x = −10 and x = −6?

f(x) = x2 + 16x + 60

f(x) = x2 − 16x + 60

f(x) = x2 + 4x + 60

f(x) = x2 − 4x + 60

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

Which is the graph of a quadratic equation that has a negative discriminant?

On a coordinate plane, a parabola opens down. It goes through (negative 4, negative 4), has a vertex at (negative 2, 0), and goes through (0, negative 4).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 4), has a vertex at (negative 2, 0), and goes through (0, 4).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 8), has a vertex at (negative 2, 4), and goes through (0, 8).

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?

The discriminant is equal to 0, which means the equation has no real number solutions.

The discriminant is equal to 0, which means the equation has one real number solution.

The discriminant is equal to 128, which means the equation has no real number solutions.

The discriminant is equal to 128, which means the equation has two real number solutions.

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

{–22, 14}

{–14, 22}

{–10, 2}

{–2, 10}

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

{2, 40}

{4, 20}

{5, 16}

{8, 10}

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

c=-7

c=-1

c=4

c=7

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

The discriminant is −55, so the equation has 2 real solutions.

The discriminant is −55, so the equation has no real solutions.

The discriminant is 73, so the equation has 2 real solutions.

The discriminant is 73, so the equation has no real solutions.

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

0 = –2x2 + x + 3

0 = 2x2 + x + 3

0 = –2x2 + 3

0 = 2x2 – x + 3

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

(–6, 0) and (–5, 0)

(–4, 0) and (–3, 0)

(–3, 0) and (–2, 0)

(–2, 0) and (–1, 0)

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Solving Quadratic Equations: Quadratic Formula — Unit test Answers

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