AnswersAcademy - Algebra Functions and Data AnalysisUnit Test

Unit Test Answers

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1
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A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

Question illustration
f
f(x) = –2x + 1
f
f(x) = –x + 1
Option f
f
f(x) = x + 1
Option f
f
f(x) = 2x + 1
2
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Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y
y – 12 = –5(x + 2)
y
y – 12 = 2(x + 2)
y
y + 12 = 2(x – 2)
y
y + 12 = –5(x – 2)
3

The members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and nonstudents pay $10 per ticket. The drama club needs to collect at least $800 in total ticket sales. The system of inequalities represents the number of student tickets, s, and the number of nonstudent tickets, n, the members must sell. s + n ≤ 1005s + 10n ≥ 800

4
40
6
60
8
80
1
100
4

The table represents a linear function.

Question illustration
–
–8
–
–4
2
2
5
5
5

Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?

Question illustration
f
f(x) = –x – 11
Option f
f
f(x) = –x – 1
Option f
f
f(x) = –x + 3
Option f
f
f(x) = –x + 13
Option f
6

On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

Question illustration
y
y > x + 1
y
y < x – 1
y
y > x – 1
y
y < x + 1
7

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

h
h + c ≤ 803h + 3.5c ≤ 100
h
h + c ≤ 803h + 3.5c ≥ 100
h
h + c ≤ 1003h + 3.5c ≤ 80
h
h + c ≤ 1003h + 3.5c ≥ 80
8

Which graph shows all the values that satisfy

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which graph shows the solution set of the compound inequality or

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

The table represents a linear function.

Question illustration
–
–10
–
–5
5
5
1
10
11

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

Question illustration
O
Only values that satisfy y > 3x + 1 are solutions.
O
Only values that satisfy y < 3x – 3 are solutions.
V
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
T
There are no solutions.
12

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

5
5.2
1
19
2
20.7
2
23
13

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

Question illustration
A
Option
B
Option
C
Option
D
Option
15

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?

Question illustration
f
f(x) = x + 4
Option f
f
f(x) = x + 6
Option f
f
f(x) = x – 10
Option f
f
f(x) = x – 12
Option f

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