AnswersALGEBRA 2A - STANDARD 15271Unit Test

Unit Test — Cumulative exam Answers

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1
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Which expression is equivalent to ? Assume .

Question illustration
A
a Superscript 9 Baseline b Superscript 6
Option A
B
a Superscript 9 Baseline b Superscript 12
Option B
C
StartFraction 1 Over a cubed b squared EndFraction
Option C
D
StartFraction a Superscript 29 Baseline b Superscript 6 Baseline EndFraction
Option D
2
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Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens up and to the left in quadrant 2.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 2, and the other curve opens up and to the left in quadrant 3.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrants 3 and 4.
Option D
3

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

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
4

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
5

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
6

Which expression is equivalent to ? Assume .

Question illustration
A
–50x8y18
B
–2x8y18
C
–2x12y72
D
5x8y18
7

For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7?

A
Four-sevenths
Option A
B
Seven-fourths
Option B
C
3
D
28
8

If is the inverse of and , what is ?

Question illustration
A
g (x) = 12 x + 4
Option A
B
g (x) = one-fourth x minus 12
Option B
C
g (x) = x minus 3
Option C
D
g (x) = one-fourth x minus 3
Option D
9

The graph below shows the function .Which statement is true?

Question illustration
A
There is a hole at x = 3 and an asymptote at x = –1.
B
There is an asymptote at x = –1 and no hole.
C
There is a hole at x = 3 and no asymptote.
D
There is an asymptote at x = 3 and a hole at x = –1.
10

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Question illustration
A
x – 4
B
x – 2
C
x + 2
D
x + 4
11

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Option A
B
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
Option B
C
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
Option C
D
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
Option D
12

What is the following sum?

Question illustration
A
4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option A
B
8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)
Option B
C
16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option C
D
48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)
Option D
13

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.
14

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction (y + 1) (y minus 1) Over y squared EndFraction
Option A
B
StartFraction y + 1 Over y minus 1 EndFraction
Option B
C
StartFraction y minus 1 Over y + 1 EndFraction
Option C
D
StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Option D
15

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
16

Which expression is equivalent to ? Assume .

Question illustration
A
(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
Option A
B
(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)
Option B
C
(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)
Option C
D
(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)
Option D
17

What is the completely factored form of 8x2 – 50?

A
2(x + 5)(x – 5)
B
2(2x – 5)(2x – 5)
C
2(2x + 5)(2x + 5)
D
2(2x + 5)(2x – 5)
18

Which of the following graphs represents a function?

A
On a coordinate plane, a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0, 0.75). The curved line connects with the straight line at (1, 0.75). The straight line has a negative slope and goes through the x-axis at (2, 0).
Option A
B
On a coordinate plane, a circle intercepts the x-axis at points (negative 2, 0) and (2, 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.
Option B
C
On a coordinate plane, a parabola opens right and has a vertex at (negative 3, 3).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 3), (negative 2, negative 5), (negative 1, negative 3), (1, 3), (2, negative 2), (4, negative 2), (4, 2).
Option D
19

Which expression is equivalent to –8?

A
–2–3
B
(Negative one-half) Superscript negative 3
Option B
C
(one-half) Superscript negative 3
Option C
D
2–3
20

According to the Rational Root Theorem, is a potential rational root of which function?

Question illustration
A
f(x) = 4x4 – 7x2 + x + 25
B
f(x) = 9x4 – 7x2 + x + 10
C
f(x) = 10x4 – 7x2 + x + 9
D
f(x) = 25x4 – 7x2 + x + 4

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