AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Cumulative exam Answers

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1
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Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}
2
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On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

Question illustration
A
y > x + 1
B
y < x – 1
C
y > x – 1
D
y < x + 1
3

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

A
16m3n3
B
16m3n4
C
18m3n3
D
18m3n4
5

Which ordered pairs are in the solution set of the system of linear inequalities?y > x + 2y < 2x + 3

Question illustration
A
(2, 2), (3, 1), (4, 2)
B
(2, 2), (3, –1), (4, 1)
C
(2, 2), (1, –2), (0, 2)
D
(2, 2), (1, 2), (2, 0)
6

Which expression shows the sum of the polynomials with like terms grouped together?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
7

Which expression is equivalent to ?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
8

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

Question illustration
A
Only values that satisfy y > 3x + 1 are solutions.
B
Only values that satisfy y < 3x – 3 are solutions.
C
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
D
There are no solutions.
9

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
10

Which is the best first step when solving the following system of equations?

Question illustration
A
Multiply the first equation by .
Option A
B
Solve for d in the second equation.
C
Solve for c in the first equation.
D
Multiply the second equation by .
Option D
11

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

A
f(x) = x2 + 36x + 12
B
f(x) = x2 – 36x – 12
C
f(x) = –x2 + 12x + 36
D
f(x) = –x2 – 12x – 36
12

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

A
2 x Superscript 4 Baseline minus 3 x cubed minus eleven-halves
Option A
B
2x2 + x – 3 –
Option B
C
2x2 – x
D
2x2 + x – 3
13

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

A
x2 and −2x
B
2x2 and −2x
C
x2 and −2
D
2x2 and −2
14

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

A
8 inches by 8 inches
B
9 inches by 9 inches
C
12 inches by 12 inches
D
13 inches by 13 inches
15

Subtract 15mn – 22m +2n from 14mn – 12m +7n.

A
–mn + 10m + 5n
B
–mn – 34m + 5n
C
–mn – 34m + 9n
D
29mn – 34m + 9n
16

What is the value of ?

Question illustration
Answer not available
17

Which is a factor of 6x2 + x − 7?

A
x + 1
B
2x + 1
C
6x + 7
D
3x + 7
18

What values of b satisfy 4(3b + 2)2 = 64?

A
b = and b = –2
Option A
B
b = 2 and b =
Option B
C
b = and b = 3
Option C
D
b = 2 and b =
Option D
19

The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

A
Multiply the first equation by –2 and add it to the second equation. Then solve the resulting equation, –2a = 0.
B
Multiply the first equation by 2 and add it to the second equation. Then solve the resulting equation, –2a = 0.
C
Divide the second equation by –4 and add it to the first equation.
D
Divide the second equation by 4 and add it to the first equation.
20

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

A
x = –6 or x =
Option A
B
x = –4 or x =
Option B
C
x = or x = 6
Option C
D
x = or x = 4
Option D

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