AnswersTX-Algebra II A-CRMixed Degree Systems

Mixed Degree Systems — Cumulative exam Answers

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Which expression is equivalent to ?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
2
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What is the solution to the following system?

Question illustration
A
(2, 3, 4)
B
(4, 3, –2)
C
(4, 3, 2)
D
(6, 7, –2)
3

Which of the following is true regarding the solution to the logarithmic equation below?

Question illustration
A
is not a true solution because
Option A
B
is not a true solution because
Option B
C
is a true solution because
Option C
D
is a true solution because
Option D
4

On a piano, the formula to determine the frequency, f, for the G above A440 is . Which of the following is equivalent to f?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
5

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3
6

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
7

Review the graph.

Question illustration
A
25 x2 + (y + 4)2
B
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
C
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
D
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
8

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

A
7 nickels
B
8 nickels
C
9 nickels
D
11 nickels
9

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
10

What is the solution of ?

Question illustration
A
c = 0 and c = 3
B
all real numbers
C
all real numbers, except c ¹ 0 and c ¹ 3
D
no solution
11

Which system is equivalent to ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 10 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 30 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 250 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 350 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout
Option D
12

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 0.5), (0, 2), (3, 0)
B
(0, 0), (0, 2), (1.5, 1), (3, 0)
C
(0, 0), (0, 0.5), (1.5, 1), (3, 0)
D
(0, 0), (0, 0.5), (1, 1.5), (3, 0)
13

What is the excluded value of x for ?

Question illustration
A
x = –1
B
x = –2
C
x = 1
D
x = 2
14

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
15

Based on the type of equations in the system, what is the greatest possible number of solutions?

Question illustration
A
1
B
2
C
3
D
4
16

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
17

Which expression is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 2 cubed EndRoot
Option A
B
StartRoot 2 Superscript 5 EndRoot
Option B
C
RootIndex 4 StartRoot 4 cubed EndRoot
Option C
D
StartRoot 4 Superscript 5 EndRoot
Option D
18

Which graph represents the solution to the system of inequalities?

Question illustration
A
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and circle is shaded.
Option A
B
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option B
C
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and circle is shaded.
Option C
D
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option D
19

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
20

What is the quotient?

Question illustration
A
(t + 3) squared
Option A
B
(t + 4) squared
Option B
C
StartFraction 1 Over (t + 4) squared EndFraction
Option C
D
StartFraction 1 Over (t + 3) squared EndFraction
Option D

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