AnswersTX-Algebra II B-CRUnit Test

Unit Test — Unit test Answers

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1
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What is the domain of the function ?

Question illustration
A
x greater-than-or-equal-to negative 5
Option A
B
x greater-than-or-equal-to 2
Option B
C
x greater-than-or-equal-to 5
Option C
D
x greater-than-or-equal-to 10
Option D
2
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If the range of and the range of are the same, which statement is true about the value of m?

Question illustration
A
m can only equal 1.
B
m can be any positive real number.
C
m can be any negative real number.
D
m can be any real number.
3

What is the solution of ?

Question illustration
A
x = 142
B
x = 232
C
x = 322
D
no solution
4

Which function is undefined for x = 0?

A
y = RootIndex 3 StartRoot x minus 2 EndRoot
Option A
B
y = StartRoot x minus 2 EndRoot
Option B
C
y = RootIndex 3 StartRoot x + 2 EndRoot
Option C
D
y = StartRoot x + 2 EndRoot
Option D
5

Which equation is the inverse of ?

Question illustration
A
y = one-sixth x squared minus four-thirds x + StartFraction 43 Over 9 EndFraction
Option A
B
y = 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
Option B
C
y = negative 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
Option C
D
negative (x minus 4) squared minus two-thirds = negative 6 y + 12
Option D
6

What is the solution of ?

Question illustration
A
x = –3
B
x = 4
C
x = –3 or x = 4
D
no solution
7

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

Question illustration
A
9.5 AU
B
19.7 AU
C
44.3 AU
D
160.2 AU
8

Which equation is the inverse of y = 9x2 – 4?

A
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction
Option A
B
y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot
Option B
C
y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds
Option D
9

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

Question illustration
A
0.32 km
B
0.75 km
C
1.12 km
D
3.17 km
10

Which function has the domain ?

Question illustration
A
y = StartRoot x + 11 EndRoot + 5
Option A
B
y = StartRoot x minus 11 EndRoot + 5
Option B
C
y = StartRoot x + 5 EndRoot minus 11
Option C
D
y = StartRoot x + 5 EndRoot + 11
Option D
11

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.
Option A
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.
Option C
D
On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.
Option D
12

Which of the following describes the graph of compared to the parent cube root function?

Question illustration
A
stretched by a factor of 2 and translated 64 units right and 5 units down
B
stretched by a factor of 8 and translated 8 units right and 5 units down
C
stretched by a factor of 2 and translated 8 units right and 5 units down
D
stretched by a factor of 8 and translated 64 units right and 5 units down
13

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at (0, 0).
Option A
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at (0, 0).
Option B
C
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 2).
Option C
D
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 9).
Option D
14

Which equation can be simplified to find the inverse of y = 2x2?

A
StartFraction 1 Over y EndFraction = 2 x squared
Option A
B
y = one-half x squared
Option B
C
–y = 2x2
D
x = 2y2
15

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
16

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
0 less-than x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
1 less-than-or-equal-to x less-than infinity
Option D
17

If , which inequality can be used to find the domain of f(x)?

Question illustration
A
StartRoot one-half x EndRoot greater-than-or-equal-to 0
Option A
B
One-half x greater-than-or-equal-to 0
Option B
C
One-half x minus 10 greater-than-or-equal-to 0
Option C
D
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0
Option D
18

Which equation is equivalent to ?

Question illustration
A
x + 9 = x + 10
B
x + 9 = x2 + 20x + 100
C
x2 + 81 = x2 + 100
D
x2 + 81 = x2 + 20x + 100
19

Which statement best describes ?

Question illustration
A
–6 is in the domain of f(x) but not in the range of f(x).
B
–6 is not in the domain of f(x) but is in the range of f(x).
C
–6 is in the domain of f(x) and in the range of f(x).
D
–6 is neither in the domain of f(x) nor in the range of f(x).
20

Which equation is equivalent to ?

Question illustration
A
x + 11 = 225
B
x + 121 = 225
C
StartRoot x EndRoot = 15 + 11
Option C
D
StartRoot x EndRoot = 15 minus 11
Option D

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