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
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If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
4

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

A
(ab)(x)
B
(StartFraction a Over b EndFraction) (x)
Option B
C
(a – b)(x)
D
(a + b)(x)
5

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
6

If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
7

The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

A
inches per second squared
Option A
B
inches per second squared
Option B
C
384 inches per second squared
D
1,024 inches per second squared
8

Mark is solving the following system.Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake?

Question illustration
A
He added equation (3) instead of equation (2) in step 1.
B
He did not multiply equation (3) by the same number as equation (1).
C
He did not eliminate the same variables in steps 1 and 2.
D
He added equation the equations in step instead of subtracting them.
9

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
10

If , what is ?

Question illustration
A
Option
Option A
B
Option
Option B
C
f Superscript negative 1 Baseline (x) = one-ninth x + 2
Option C
D
f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth
Option D
11

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
12

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

A
4.75 miles per hour
B
5.00 miles per hour
C
5.50 miles per hour
D
6.00 miles per hour
13

Given , what is the average rate of change in f(x) over the interval [1, 5]?

Question illustration
A
–6
B
Negative one-half
Option B
C
One-fourth
Option C
D
1
14

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

A
2
B
3
C
4
D
5
15

Which function has an inverse that is also a function?

A
g(x) = 2x – 3
B
k(x) = –9x2
C
f(x) = |x + 2|
D
w(x) = –20
16

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.
17

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
18

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

Question illustration
A
A
B
B
C
C
D
D
19

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
20

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

Question illustration
A
(0, 6)
B
(1, 4)
C
(2, 2)
D
(3, 0)
21

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

A
$18
B
$21
C
$27
D
$48

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