AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PUnit Test

Unit Test — Cumulative exam Answers

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Which shows the expression in simplest form?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
22
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What are the excluded values of x for ?

Question illustration
A
x = –6, x = 2
B
x = –6, x = –3, x = 2
C
x = –2, x = 6
D
x = –2, x = 3, x = 6
23

For which rational expression is –2 an excluded value of x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

What is the quotient?

Question illustration
A
StartFraction 2 Over 3 (y minus 5) EndFraction
Option A
B
StartFraction 3 (y minus 5) Over 2 EndFraction
Option B
C
StartFraction (y minus 5) (y + 2) squared Over 6 (y + 3) squared EndFraction
Option C
D
StartFraction 3 (y + 5) (y minus 2) Over 2 (y + 2) EndFraction
Option D
25

The function relates y, the time in hours that it takes Michael to travel to his grandparents’ house, to x, his average speed in miles per hour. What does the number 60 in the function represent?

Question illustration
t
the time, in hours, that it takes to get to Michael’s grandparents’ house
t
the distance, in miles, that must be traveled to get to Michael’s grandparents’ house
t
the fuel, in gallons, that is used to get to Michael’s grandparents’ house
t
the rate, in miles per hour, that Michael travels to get to his grandparents’ house
26

Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

Question illustration
S
She makes a subtraction error.
S
She makes an error choosing the x-term in the quotient.
S
She makes a multiplication error.
S
She makes an error rewriting the problem in long division.
27

If g(x) is an odd function, which function must be an even function?

A
f(x) = g(x) + 2
B
f(x) = g(x) + g(x)
C
f(x) = g(x)2
D
f(x) = –g(x)
28

Which expression is equivalent to the following complex fraction?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

A
9
B
11
C
13
D
14
30

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

Question illustration
A
Option
Option A
2
2x2 + x – 3 –
Option 2
2
2x2 – x
2
2x2 + x – 3
31

If (x – 5) is a factor of f(x), which of the following must be true?

A
A root of f(x) is x = –5.
B
A root of f(x) is x = 5.
C
Both x = –5 and x = 5 are roots of f(x).
D
Neither x = –5 nor x = 5 is a root of f(x).
32

What is the product?(5r − 4)(r2 − 6r + 4)

5
5r3 − 34r2 + 44r − 16
5
5r3 − 4r2 + 14r − 16
5
5r3 − 6r − 16
5
5r3 + 10r − 16
33

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
34

Riley makes a mistake in step 2 while doing her homework. What was her mistake? Step 1: Step 2: Step 3: Step 4:

Question illustration
S
She added the two fractions incorrectly.
S
She used the wrong common denominator.
S
She did not distribute the negative correctly.
S
She did not multiply the first fraction by a factor.
35

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?

A
0
B
1
C
2
D
3
36

The graph shows two functions, f(x) and g(x).If the functions are combined so that , then the function h(x) includes the point (–4, ).

Answer not available
37

The area of a rectangle is found by multiplying the base times the height. A rectangle with an area represented by 12x2 + 6x – 8 has a height of 4x.What is the base of the rectangle?

Question illustration
A
3x + –
Option A
B
3x2 + –
Option B
C
3x + –
Option C
D
3x + –
Option D
38

The weight, w, in tons of a school bus is related linearly to its seating capacity, p. A 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. Which equation can be used to find the weight of a 50-passenger bus?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
39

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

A
–5
B
0
C
1
D
6
40

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

Question illustration
1
1.45 million
3
3.45 million
4
40 million
4
48 million

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