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

Solving Quadratic Equations: Quadratic Formula — Cumulative exam Answers

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Which function represents exponential decay?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
2
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Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

A
x2 + 4x – 15; 3 feet
B
x2 + 4x – 15; 6 feet
C
2x2 + 8x – 30; 6 feet
D
2x2 + 8x – 30; 12 feet
3

What is the product?

Question illustration
A
2 x squared minus 3
Option A
B
2 x squared + 6 x
Option B
C
2 x squared + 5 x minus 3
Option C
D
2 x squared + 6 x minus 3
Option D
4

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Question illustration
A
all real values of x where x < −2
B
all real values of x where −2 < x < 4
C
all real values of x where 1 < x < 4
D
all real values of x where x < 0
5

Which best describes the strength of the model with an r-value of –0.93?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
6

What is the product?

Question illustration
A
negative 81 t squared minus 16
Option A
B
negative 81 t squared + 16
Option B
C
negative 81 t squared minus 72 t + 16
Option C
D
negative 81 t squared + 72 t + 16
Option D
7

Armando used algebra tiles to represent the product .

Question illustration
A
He used the algebra tiles correctly.
B
He did not represent the two original factors correctly.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
8

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

A
It is a monomial with a degree of 4.
B
It is a monomial with a degree of 7.
C
It is a binomial with a degree of 6.
D
It is a binomial with a degree of 8.
9

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

A
The range contains only natural numbers.
B
The domain contains only natural numbers.
C
Exponential bases must be whole numbers.
D
Initial values must be whole numbers.
10

What is the factored form of the polynomial?x2 − 15x + 36

A
(x − 4)(x − 9)
B
(x − 3)(x − 12)
C
(x + 4)(x + 9)
D
(x + 3)(x + 12)
11

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.The vertex is the maximum value.The axis of symmetry is x = .The domain is all real numbers. The range is all real numbers.The function is decreasing from (−∞, 6.75).

Question illustration
A
The vertex is the maximum value.
B
The axis of symmetry is x = .
Option B
C
The domain is all real numbers.
D
The range is all real numbers.
E
The function is decreasing from (−∞, 6.75).
12

A line of best fit is drawn for the set of points shown on the graph.

Question illustration
A
(23, 30)
B
(30, 38)
C
(44, 30)
D
(30, 72)
13

Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.

Question illustration
A
5(x2 + 4x + 4) = –7 + 20
B
x + 2 =
Option B
C
5(x2 + 4x) = 7
D
5(x2 + 4x + 4) = 7 + 20
E
5(x2 + 4x) = –7
14

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

A
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).
Option A
B
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).
Option B
C
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).
Option C
D
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).
Option D
15

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

A
−8
B
−4
C
33
D
49
16

Which is the graph of f(x) = 2(3)x?

A
Option
B
Option
C
Option
D
Option
17

The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.

A
2
B
4
C
8
D
16
18

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x
19

What is the factored form of the polynomial?z2 − 10z + 25

A
(z − 5)(z − 5)
B
(z + 5)(z + 5)
C
(z − 2)(z + 5)
D
(z + 2)(z − 5)
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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