Unit Test — Unit test Answers

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On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84 on the test. The equation 100−2x=84, where x represents the number of questions answered incorrectly, represents the situation. How many questions did Trevor answer incorrectly?

A
8 questions
B
9 questions
C
12 questions
D
13 questions
2
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Alberto uses the steps below to solve the equation .Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:

Question illustration
A
the addition property of equality
B
the identity property of addition
C
the multiplication property of equality
D
the identity property of multiplication
3

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –3
B
x = –1
C
x = 0
D
x = 1
4

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
5

A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis.

Question illustration
A
As x increases, y decreases.
B
As x increases, y increases.
C
As x increases, y increases and then decreases.
D
As x increases, y decreases and then increases.
6

Solve the equation.–9x + 1 = –x + 17

A
x = –8
B
x = –2
C
x = 2
D
x = 8
7

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.
8

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
9

What is the solution to the linear equation? + p = + p

Question illustration
A
p = 1
B
p = 2
C
p = 8
D
p = 10
10

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.
11

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Question illustration
A
55
B
60
C
130
D
150
12

Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

A
x minus y equals 44
Option A
B
44 plus y equals x
Option B
C
y minus x equals 44
Option C
D
x equals 44 minus y
Option D
13

Kate begins solving the equation (6x – 3) = (6x – 4). Her work is correct and is shown below.(6x – 3) = (6x – 4)4x – 2 = 3x – 2

Question illustration
A
The equation has infinite solutions.
B
The equation has one solution: x = 0.
C
The equation has one solution: x = .
Option C
D
The equation has no solution.
14

Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?

A
508 seconds
B
510 seconds
C
509 seconds
D
508.8 seconds
15

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

A
Blueberries are $0.23 per pound more expensive at the farmer’s market.
B
Blueberries are $0.50 per pound less expensive at the farmer’s market.
C
Blueberries are $0.80 per pound less expensive at the farmer’s market.
D
Blueberries are $1.40 per pound more expensive at the farmer’s market.
16

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

A
Option
B
Option
C
Option
D
Option
17

Verona is solving the equation -3 + 4x = 9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

A
–4
B
3
C
–3
D
4
18

What is the solution to the linear equation?6k + 10.5 = 3k + 12

A
k = 0.5
B
k = 2
C
k = 7.3
D
k = 9
19

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

A
The value of x can be any real number, and y will be a real number.
B
The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C
The value of x can be any integer, and y will be an integer.
D
The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
20

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

A
1 mile
B
3 miles
C
4 miles
D
6 miles

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