Answers2627 ALGEBRA II ASymmetry

Symmetry — Test Answers

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1
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Which relation below represents a one-to-one function?

A
A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197.
Option A
B
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5.
Option B
C
A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11.
Option C
D
A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.
Option D
2
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Morgan made a mistake when subtracting the rational expressions below.

Question illustration
A
Morgan forgot to combine only like terms.
B
Morgan forgot to subtract the denominators as well as the numerators.
C
Morgan forgot to cancel out the +3 in the numerator and denominator as her final step.
D
Morgan forgot to distribute the negative sign to two of the terms in the second expression.
3

Which statements about the system are true? Select two options.y = x – 43y – x = –7

Question illustration
A
The system has one solution.
B
The system consists of parallel lines.
C
Both lines have the same slope.
D
Both lines have the same y–intercept.
E
The equations represent the same line.
4

What is the solution of ?

Question illustration
A
x = –17
B
x = 13
C
x = 53
D
no solution
5

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

A
y = 2x + 6
B
y = 4x + 6
C
–y = –2x – 3
D
–y = –4x + 6
7

What is the quotient in simplified form? Assume .

Question illustration
A
Negative StartFraction 4 a Superscript 12 Baseline b Superscript 8 Baseline Over 5 EndFraction
Option A
B
Negative StartFraction 4 a Superscript 32 Baseline b Superscript 5 Baseline Over 5 EndFraction
Option B
C
StartFraction a Superscript 12 Baseline b Superscript 8 Baseline Over 80 EndFraction
Option C
D
StartFraction a Superscript 32 Baseline b Superscript 5 Baseline Over 80 EndFraction
Option D
8

Which is the graph of the piecewise function f(x)?f(x) =

Question illustration
A
Option
B
Option
C
Option
D
Option
9

The graph represents the cost of catering a dinner as a function of the number of guests.

Question illustration
A
$400
B
$600
C
$700
D
$800
10

If and , what is the degree of ?

Question illustration
A
2
B
3
C
5
D
6
11

Which graph represents an even function?

A
A coordinate plane has 5 points. The points are (negative 6, negative 4), (negative 4, 2), (2, 4), (4, negative 2), (6, 2).
Option A
B
A coordinate plane has 7 points. The points are (negative 3, negative 6), (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4), (3, 6).
Option B
C
A coordinate plane has 7 points. The points are (negative 5, 2), (negative 4, 1), (negative 3, 3), (negative 2, 5), (2, negative 2), (3, negative 5), (4, negative 6).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, negative 3), (negative 3, negative 5), (negative 2, 1), (0, 0), (2, 1), (3, negative 5), (4, negative 3).
Option D
12

What is the solution of the equation ?

Question illustration
A
b = 3
B
b = 9
C
b = 81
D
no solution
13

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

A
–18
B
–4
C
16
D
42
14

What is the product? Assume y 0.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D

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