AnswersAZ-Common Core Algebra II AUnit Test

Unit Test — Unit test Answers

25 verified answers
1
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If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Question illustration
A
4x3 + 18x2 – 10x
B
x2 + 9x – 2
C
16x2 + 4x – 6
D
4x2 + 20x – 2
2
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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
3

A boat has a speed of 9 miles per hour in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current in miles per hour?

A
2(9 – c) = 4(9 + c)
B
9 + c = 4(9 – c)
C
9 – c = 2(9 + c)
D
4(9 – c) = 2(9 + c)
4

Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown.Mike:16.4 oz, 15.2 oz, 15.8 ozTeegan:16.34 oz, 16.59 oz, 15.13 oz

A
Mike’s measurements are more precise and more accurate.
B
Teegan’s measurements are more precise and more accurate.
C
Mike’s measurements are more precise, but Teegan’s measurements are more accurate.
D
Mike’s measurements are more accurate, but Teegan’s measurements are more precise.
5

How many significant figures does 2,090 have?

A
1
B
2
C
3
D
4
6

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
7

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)
8

Which of the following is an even function?

A
g(x) = (x – 1)2 + 1
B
g(x) = 2x2 + 1
C
g(x) = 4x + 2
D
g(x) = 2x
9

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
10

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
11

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?

A
52 mph; 64 mph
B
55 mph; 70 mph
C
92 mph; 104 mph
D
98 mph; 110 mph
12

Which function is most likely graphed on the coordinate plane below?

Question illustration
A
f(x) = 3x – 11
B
f(x) = –4x + 12
C
f(x) = 4x + 13
D
f(x) = –5x – 19
13

If , what is ?

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
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
14

Which of the following is an odd function?

A
f(x) = x3 + 5x2 + x
B
f (x) = StartRoot x EndRoot
Option B
C
f(x) = x2 + x
D
f(x) = –x
15

A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?

A
mc023-1.jpg
Option A
B
e = 200s + 4
C
e = 4s + 200
D
mc023-2.jpg
Option D
16

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
17

If and , what is the domain of ?

Question illustration
A
mc020-4.jpg
Option A
B
mc020-5.jpg
Option B
C
mc020-6.jpg
Option C
D
mc020-7.jpg
Option D
18

If a(x) = 3x + 1 and , what is the domain of ?

Question illustration
A
mc017-3.jpg
Option A
B
mc017-4.jpg
Option B
C
mc017-5.jpg
Option C
D
mc017-6.jpg
Option D
19

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?

A
0.1 pounds
B
0.5 pounds
C
12.5 pounds
D
13.5 pounds
20

Which graph represents an odd function?

A
There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).
Option A
B
There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).
Option B
C
There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)
Option C
D
There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).
Option D

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