AnswersOK-Algebra II APerformance Task: Annual Salaries and Gender

Performance Task: Annual Salaries and Gender — Unit test Answers

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1
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Which statement describes the system of equations?

Question illustration
A
The system has infinitely many solutions.
B
The system has no solution.
C
The system has one solution .
Option C
D
The system has one solution .
Option D
2
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Mr. Lee asks a student to solve the following system of linear equations.Which ordered pair (p, q) is the solution to the system?

Question illustration
A
Option
Option A
B
Option
Option B
C
(0, 2)
D
(2, 0)
3

Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

A
none
B
one
C
two
D
infinitely many
4

Which system is equivalent to

Question illustration
A
StartLayout Enlarged left-brace 1st row 5 minus x = 9 x squared 2nd row y = 5 minus x EndLayout
Option A
B
StartLayout Enlarged left-brace 1st row y = 9 y squared minus 90 y + 225 2nd row x = y minus 5 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st row 5 + x = 9 x squared 2nd row y = 5 + x EndLayout
Option C
D
StartLayout Enlarged left-brace 1st row y = 3 x 2nd row x + 3 x = 5 EndLayout
Option D
5

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
6

A school choir has 36 members. This year, there are three times as many returning members as new members. How many new members are in the choir this year?

A
9 new members
B
12 new members
C
24 new members
D
27 new members
7

Which statement about the following system of inequalities is true?

Question illustration
A
The solution contains points in one quadrant of the coordinate plane.
B
The solution contains points in two quadrants of the coordinate plane.
C
The solution contains points in three quadrants of the coordinate plane.
D
The solution contains points in all four quadrants of the coordinate plane.
8

The equations –a – 7b = 14 and –4a – 14b = 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

A
Multiply the first equation by –2 and add it to the second equation. Then solve the resulting equation, –2a = 0.
B
Multiply the first equation by 2 and add it to the second equation. Then solve the resulting equation, –2a = 0.
C
Divide the second equation by –4 and add it to the first equation.
D
Divide the second equation by 4 and add it to the first equation.
9

What is the value of y in the solution to the following system of linear equations?

Question illustration
A
3
B
5
C
8
D
12
10

Brian is solving an equation where both sides are quadratic expressions. He sets the expressions equal to y. Then he graphs the system finding that the two graphs share a common vertex, but one graph opens upward and the other opens downward. How should Brian interpret this outcome?

A
There is exactly one intersection point.
B
There are exactly two intersection points.
C
There are exactly three intersection points.
D
There are infinitely many intersection points.
11

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
13

A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture frame?

A
18 cm
B
32 cm
C
48 cm
D
50 cm
14

Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash?

A
2 trucks
B
3 trucks
C
4 trucks
D
5 trucks
15

A local car wash is inviting customers to join the Concierge Club, in which you can have your car washed as many times as you wish for a fixed monthly fee. Amy creates the graph below to compare the cost per wash versus the cost for the Concierge Club. Which conclusion is supported by the graph?

Question illustration
A
The Concierge Club costs $6 per month.
B
The Concierge Club is the better deal for three washes per month.
C
The pay-per-wash option is the better deal for eight washes per month.
D
The pay-per-wash rate is $5.00 per wash.

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