Cumulative Exam — Cumulative exam Answers

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Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
42
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The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.f(t) =Which statement is true about the Internet connection cost?

Question illustration
A
It costs $5 per hour to connect to the Internet at the gaming store.
B
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
C
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
D
Any amount of time over an hour and a half would cost $10.
43

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Question illustration
A
f(x) = (x –1)2 – 7
B
f(x) = (x +1)2 – 7
C
f(x) = (x –1)2 – 5
D
f(x) = (x +1)2 – 5
44

Which polynomial is prime?

A
x3 + 3x2 + 2x + 6
B
x3 + 3x2 – 2x – 6
C
10x2 – 4x + 3x + 6
D
10x2 – 10x + 6x – 6
45

What is the factored form of x2 – 6x – 16?

A
(x – 4)(x – 2)
B
(x + 4)(x – 2)
C
(x – 2)(x + 8)
D
(x – 8)(x + 2)
46

The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
47

The monomial 36x4 is a perfect square. What is the square root of 36x4?

A
6x2
B
6x4
C
18x2
D
18x4
48

Which graph represents the function g(x) = |x + 4| + 2?

A
Option
B
Option
C
Option
D
Option
49

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
50

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Question illustration
A
The axis of symmetry should be x = –1.
B
The axis of symmetry should be x = 2.
C
The vertex should be a maximum.
D
The vertex should be (–2, 1).

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