Unit Test — Unit test Answers

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Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. Which weekly work schedule is within Michael’s constraints?

A
8 hours at the movie theater and 25 hours at the bakery
B
15 hours at the movie theater and 20 hours at the bakery
C
19 hours at the movie theater and 12 hours at the bakery
D
21 hours at the movie theater and 8 hours at the bakery
2
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In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Becky score?

A
14 points
B
21 points
C
22 points
D
28 points
3

Which ordered pair (c, d) is the solution to the given system of linear equations?

Question illustration
A
(–1, 6)
B
(–1, 7)
C
(6, –1)
D
(7, 10)
4

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?

A
6 pink flowering plants
B
7 pink flowering plants
C
8 pink flowering plants
D
9 pink flowering plants
5

Solve the system of equations below by graphing. What is the solution rounded to the nearest hundredth?

Question illustration
A
(23.19, –11.34)
B
(23.19, 11.34)
C
(33.87, –6.45)
D
(33.87, 6.45)
6

Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.What are the solution(s) of –3(x – 1) = x – 5?

Question illustration
A
–5 and 3
B
–3
C
1 and 5
D
2
7

Which statement describes the solution to the system of equations?

Question illustration
A
The system has exactly one solution.
B
The system has exactly two solutions.
C
The system has no solutions.
D
The system has infinitely many solutions.
8

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

A
none
B
one
C
two
D
infinitely many
9

Consider the solution to the system of inequalities below.Which of the following functions could be added to the system without changing the solution set?

Question illustration
A
y > 2
B
y < 3
C
y < 2
D
y = 3
10

Which graph shows the solution to the following system of inequalities?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?

A
The system can be either inconsistent or consistent.
B
The system can be either independent or dependent.
C
The system can only be independent and consistent.
D
The system can only be dependent and consistent.
12

A group of children, adults, and senior citizens attended three different art exhibits that have different ticket prices for each age group. Let c represent the number of children, a represent the number of adults, and s represent the number of senior citizens. The system represents the cost of each type of ticket and the total cost of the tickets for all three exhibits. What are the numbers of children, adults, and seniors citizens that attended these three exhibits?

Question illustration
A
120 children, 30 adults, and 30 senior citizens
B
20 children, 40 adults, and 70 senior citizens
C
100 children, 50 adults, and 5 senior citizens
D
100 children, 50 adults, and 20 senior citizens
13

Which region represents the solution to the given system of inequalities?

Question illustration
A
A
B
B
C
C
D
D
14

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

A
The second parabola opens downward.
B
The second parabola opens upward.
C
The points of intersection are on the x-axis.
D
The points of intersection are of equal distance from the y-axis.
15

Which system is equivalent to ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row 12 x squared + 4 y squared = 22 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row 3 x squared minus 4 y squared = 25 2nd row negative 12 x squared + 4 y squared = 22 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row 6 x squared minus 8 y squared = 25 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row 6 x squared minus 8 y squared = 50 2nd row negative 6 x squared minus 2 y squared = 11 EndLayout
Option D
16

What is the solution to the system of equations?

Question illustration
A
(11, 1)
B
(1, 11)
C
(–1, 11)
D
(11, –1)
17

Which graph can be used to find the solution(s) to 4x = –4x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

Which statement about the following system of inequalities is true?

Question illustration
A
There is no solution because the shading does not overlap.
B
There is no solution because the graphs do not intersect.
C
The solution contains points in four quadrants of the coordinate plane.
D
The solution is equal to the solution to .
Option D
19

A tennis team has 24 members. There are twice as many girls as boys on the team. How many girls are on the tennis team?

A
6 girls
B
8 girls
C
12 girls
D
16 girls
20

Which equation can pair with x – y = –2 to create a consistent and dependent system?

A
6x + 2y = 15
B
–3x + 3y = 6
C
–8x – 3y = 2
D
4x – 4y = 6

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