Analyzing Graphs — Unit test Answers

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On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.

Question illustration
A
(0, 2)
B
(2, 0)
C
(1, −2)
D
(−2, 1)
2
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A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
Option
B
Option
C
Option
D
Option
3

Which inequality is graphed below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The theater sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the number of bottles of soda. Which linear inequality can be used to find the quantities of popcorn and soda that should be purchased to receive a poster?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

A system of inequalities, where x is the rate of a spaceship in a video game and y is where the ship travels on the screen in 3.5 seconds, is represented by the graph.

Question illustration
A
≤
B
≥
C
<
D
>
6

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.

Question illustration
A
y<−2x+2
B
y>−2x+2
C
y<2x−2
D
y>2x−2
7

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above the line is shaded.
Option B
C
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded.
Option D
8

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?

A
a + b ≥ 30 b ≥ a + 10
B
a + b ≥ 30 b ≤ a – 10
C
a + b ≤ 30 b ≥ a + 10
D
a + b ≤ 30 b ≤ a – 10
9

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Everything below and to the right of the line is shaded.

Question illustration
A
y ≤ x – 1.3
Option A
B
y ≤ x –
Option B
C
y ≥ x –
Option C
D
y ≥ x – 1.3
Option D
10

Which ordered pairs make both inequalities true? Select two options. y x + 1

Question illustration
A
(–1, 3)
B
(0, 2)
C
(1, 2)
D
(2, –1)
E
(2, 2)
11

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.

Question illustration
A
y < x + 3
Option A
B
y > x + 3
Option B
C
y > x + 3
Option C
D
y < x + 3
Option D
12

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?

A
x + y < 12
B
x + y > 12
C
x + y ≤ 12
D
x + y ≥ 12
13

The graph of a system of inequalities is shown.

Question illustration
A
y > 2xx + 2y ≤ –8
B
y ≥ 2xx + 2y < –8
C
y < 2xx + 2y ≥ –8
D
y ≤ 2xx + 2y > –8
14

Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, which inequality represents this situation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Which graph represents ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?

A
12 ≤ x + y
B
12 ≥ x + y
C
12 ≤ 2x + 3y
D
12 ≥ 2x + 3y
17

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?

A
The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
B
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
C
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
D
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
18

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l. w ≥ 0.5l2l + 2w ≤ 180

A
30 inches
B
45 inches
C
60 inches
D
90 inches
19

Which ordered pair makes both inequalities true?y –x + 4

Question illustration
A
(4,0)
B
(1,2)
C
(0,4)
D
(2,1)
20

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

Question illustration
A
(–5, 2)
B
(2, 2)
C
(5, 2)
D
no solution

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