AnswersMHS - Algebra 1 - S1 - CRUnit Test

Unit Test — Unit test Answers

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41
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Question illustration
A
y > x – 2 and x – 2y < 4
B
y > x + 2 and x + 2y < 4
C
y > x – 2 and x + 2y < 4
D
y > x – 2 and x + 2y < –4
42
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Which ordered pair makes both inequalities true?y –x + 4

Question illustration
A
(4,0)
B
(1,2)
C
(0,4)
D
(2,1)
43

Which statements must be true about their heights? Select three options.

A
Darius is at least 36 inches tall.
B
Darius is at most 36 inches tall.
C
William’s height is less than 68 inches.
D
William’s height is at least 68 inches.
E
Darius is less than 4 inches taller than twice William’s height.
F
Darius is no more than 4 inches taller than twice William’s height.
44

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training times this week?

A
Option
B
Option
C
Option
D
Option
45

Which ordered pair makes both inequalities true? y x

Question illustration
A
(–3, 5)
B
(–2, 2)
C
(–1, –3)
D
(0, –1)
46

Which ordered pair makes both inequalities true?y > –2x + 3y < x – 2

Question illustration
A
(0,0)
B
(0,–1)
C
(1,1)
D
(3,0)
47

Consider the system of inequalities and its graph.y ≤ –0.75xy ≤ 3x – 2

Question illustration
A
1
B
2
C
3
D
4
48

A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Option B
C
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded.
Option C
D
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Option D
49

A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?

A
t ≤ 40 p ≤ 184
B
t ≤ 40 8p ≤ 184
C
t ≤ 40p + 8t ≤ 184
D
t ≤ 408p + t ≤ 184
50

Which graph shows the solution to the system of linear inequalities?x – 4y < 4y < x + 1

A
Option
B
Option
C
Option
D
Option
51

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
52

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Question illustration
A
–3x + 2 = y
B
–x + 2 = y
Option B
C
x – 3 = y
Option C
D
2x – 3 = y
53

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

A
The graph will be continuous because an end day for the booth being set up is not given in the description.
B
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C
The graph will be discrete because some day the number of available people to sign up for the club will run out.
D
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
54

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
55

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).

Question illustration
A
(5, 0)
B
(0, 5)
C
(0, –5)
D
(–5, 0)
56

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)
57

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

A
inch up per foot across
Option A
B
inch up per foot across
Option B
C
2 inches up per foot across
D
3 inches up per foot across
58

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

Question illustration
A
(–1, –3)
B
(0, –2)
C
(1, 4)
D
(2, 1)
59

What is the solution to this system of linear equations?x + y = 4x − y = 6

A
(4, 6)
B
(6, 4)
C
(5, −1)
D
(−1, 5)
60

A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0).

Question illustration
A
(–2.7, 2.1)
B
(–2.1, 2.7)
C
(2.1, 2.7)
D
(2.7, 2.1)

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