AnswersFL-1200330-Algebra 2 CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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Which of the following graphs could be the graph of the function f(x) = x3 + 8?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

On a coordinate plane, a parabola with a solid boundary line opens up. It goes through (negative 6, 0), has a vertex at (negative 1, negative 25), and goes through (4, 0).

Question illustration
A
y greater-than-or-equal-to x squared minus 2 x minus 24
Option A
B
y greater-than-or-equal to x squared + 2 x minus 24
Option B
C
y less-than-or-equal-to x squared + 2 x minus 24
Option C
D
y less-than-or-equal-to x squared minus 2 x minus 24
Option D
4

Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
5

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

A
Three-halves
Option A
B
Nine-fourths
Option B
C
6
D
9
6

What is the solution set of the quadratic inequality

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

What is the additive inverse of the complex number –12 + 4i?

A
–12 – 4i
B
–12 + 4i
C
12 – 4i
D
12 + 4i
9

Which expression is equivalent to ?

Question illustration
A
5 StartRoot 3 EndRoot i
Option A
B
6 StartRoot 3 EndRoot i
Option B
C
7 StartRoot 3 EndRoot i
Option C
D
8 StartRoot 3 EndRoot i
Option D
10

What is the inequality in factored form that describes the set of values that is greater than the quadratic function with zeros –12 and 3 and includes the boundary point (–4.5, –450).

A
y > 8(x – 3)(x + 12)
B
y > 8(x + 3)(x – 12)
C
y > –8(x + 3)(x – 12)
D
y > –8(x – 3)(x + 12)
11

Find all solutions to the equation x3 + 16x – 3x2 = 48.

A
–4, –3, 4
B
–4, 3, 4
C
3, –4i, 4i
D
–3, –4i, 4i
12

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

A
3, 4, 5, 6
B
3, 4, 5, 6i
C
3, 4, ,
Option C
D
3, 4, 5 + i, –5 + i
13

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

A
11.2 m
B
15.8 m
C
22.4 m
D
44.8 m
14

The polynomial equation has complex roots . What is the other root? Use a graphing calculator and a system of equations.

Question illustration
A
–9
B
–1
C
0
D
1
15

For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
16

If f(x) is an odd function, which statement about the graph of f(x) must be true?

A
It has rotational symmetry about the origin.
B
It has line symmetry about the line y = –x.
C
It has line symmetry about the y-axis.
D
It has line symmetry about the x-axis.
17

The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
18

Which statements accurately compare the functions in the graph? Select two options.

A
Neither function has a maximum value.
B
The functions share a y-intercept of –1.
C
The functions share an x-intercept of 1.
D
Both functions have a range of all real numbers.
E
Both functions have a domain of all real numbers.
19

Find all solutions to the equation 6x3 + 30x2 + 45x + 27 = 0.

A
negative 3, StartFraction negative 2 + i StartRoot 2 EndRoot Over 2 EndFraction, StartFraction negative 2 minus i StartRoot 2 EndRoot Over 2 EndFraction
Option A
B
negative 3, 2 i StartRoot 2 EndRoot, negative 2 i StartRoot 2 EndRoot
Option B
C
3, StartFraction negative 2 + i StartRoot 2 EndRoot Over 2 EndFraction, StartFraction negative 2 minus i StartRoot 2 EndRoot Over 2 EndFraction
Option C
D
3, negative 4 + 3 i StartRoot 2 EndRoot, negative 4 minus 2 i StartRoot 2 EndRoot
Option D
20

Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

A
An inverse function is the best model because as x increases, y decreases.
B
An inverse function is the best model because the products of corresponding x- and y-values are equal.
C
An inverse variation function is not the best model because data points approximate a straight line.
D
An inverse variation function is not the best model because the data points show an exponential decay.

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