AnswersS1S-OC Pre-Calculus A E3700 - AGUnit Test

Unit Test — Cumulative exam Answers

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Which graph includes a function, its inverse, and a dashed line that verifies the relationship?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
42
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Which graph shows the solution set of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
43

The function W(t) = 40e–0.35t models the healing of a wound after t hours, where W(t) represents the wound area in square millimeters. What relationship do W(t) and t have?

A
when t = 0, W(t) > 40
B
when t = 0, W(t) < 40
C
when t > 0, W(t) > 40
D
when t > 0, W(t) < 40
44

How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin? Round the answer to the nearest hundredth if necessary. Original (L)Added (L)New (L)Amount of Glycerin0.96x0.96 + xAmount of Solution12x12 + x

A
0.18 liter
B
1.14 liters
C
1.92 liters
D
2.10 liters
45

The table shows several points for function j(t).

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 8, 10, 17. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries negative 1, negative 2, negative 10, negative 250.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 8, 10, 17. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries 1, 0.5, 0.1, 0.004.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 2, 10, 250. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries 1, 0.5, 0.1, 0.004.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled t with entries 1, 2, 10, 250. Column 2 is labeled j Superscript negative 1 Baseline (t) with entries 1, 8, 10, 17.
Option D
46

Consider the graph of f(x) = 5x 6 – 5x 5 – x 4.

Question illustration
A
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than x less-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option A
B
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than-or-equal-to x less-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option B
C
x less-than one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option C
D
x less-than-or-equal-to one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option D
47

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 0.5), (0, 2), (3, 0)
B
(0, 0), (0, 2), (1.5, 1), (3, 0)
C
(0, 0), (0, 0.5), (1.5, 1), (3, 0)
D
(0, 0), (0, 0.5), (1, 1.5), (3, 0)
48

What is the quotient and remainder, written as partial fractions, of ?

Question illustration
A
Option
Option A
B
4 x minus 1 + StartFraction 2 Over x + 1 EndFraction minus StartFraction 7 Over x + 2 EndFraction
Option B
C
4 x minus 1 + StartFraction 2 Over x + 1 EndFraction + StartFraction 3 Over x + 2 EndFraction
Option C
D
4 x minus 1 + StartFraction 2 Over x + 1 EndFraction minus StartFraction 3 Over x + 2 EndFraction
Option D
49

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
Option A
B
6a
C
2a
D
StartFraction 6 a squared Over a + 1 EndFraction
Option D
50

What is the value of x in ?

Question illustration
A
Negative StartFraction 2 pi Over 3 EndFraction
Option A
B
Negative StartFraction pi Over 6 EndFraction
Option B
C
StartFraction 2 pi Over 3 EndFraction
Option C
D
StartFraction 7 pi Over 6 EndFraction
Option D

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