AnswersAZ-Algebra 2A MA301Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Use the zero product property to find the solutions to the equation x2 – 15x – 100 = 0.

A
x = –20 or x = 5
B
x = –20 or x = –5
C
x = –5 or x = 20
D
x = 5 or x = 20
42
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If a polynomial function f(x) has roots and –6, what must be a factor of f(x)?

Question illustration
A
(x + ( )
Option A
B
(x – ())
Option B
C
(x + ())
Option C
D
(x – ())
Option D
43

For which interval is the average rate of change of f(x) negative?

Question illustration
A
from x = –3.5 to x = –1
B
from x = –3 to x = 3
C
from x = 0 to x = 2.5
D
from x = 3 to x = 4.5
44

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3
45

Which graph can be used to find the real solution(s) to 3 – 4x = –3 – x2 – 4x?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
46

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Question illustration
A
x – 4
B
x – 2
C
x + 2
D
x + 4
47

Read the word problem below.Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are blue. How many blue marbles does he have? A student represents the number of blue marbles as the variable b and solves this problem by writing an equation. Which strategy could help check the student’s answer?

A
Check that the sum of b, 12, and 15 is 55.
B
Check that the difference of 55 and b is 12.
C
Check that the sum of the b, 27, and 15 is 55.
D
Check that the difference of 55 and b is 15.
48

If three times a number is at least four more than eight times the number, which of the following is true?

A
The number is at least negative four-fifths.
B
The number is at most four-fifths.
C
The number is at least four-fifths.
D
The number is at most negative four-fifths.
49

Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D
50

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

A
0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C
0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D
0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1

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