AnswersNY-Algebra II Term 1 HillcrestCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which of the following graphs could be the graph of the function f(x) = x3 + 8?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction (y + 1) (y minus 1) Over y squared EndFraction
Option A
B
StartFraction y + 1 Over y minus 1 EndFraction
Option B
C
StartFraction y minus 1 Over y + 1 EndFraction
Option C
D
StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Option D
3

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10?

Question illustration
A
Negative four-thirds
Option A
B
Negative three-fourths
Option B
C
6
D
8
4

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
5

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
6

Which equation represents a linear function?

A
y – 2 = –5(x – 2)
B
x + 7 = –4(x + 8)
C
y – 3 = y(x + 4)
D
y + 9 = x(x – 1)
7

Which table shows a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which expression is equivalent to ?

Question illustration
A
5 StartRoot 3 EndRoot i
Option A
B
6 StartRoot 3 EndRoot i
Option B
C
7 StartRoot 3 EndRoot i
Option C
D
8 StartRoot 3 EndRoot i
Option D
9

If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

A
On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2)
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5).
Option C
D
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Option D
10

What is the simplified form of the following expression?

Question illustration
A
StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction
Option A
B
StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction
Option B
C
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction
Option D
11

The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = –16x2 + 24x + 1. What information does the zero of the equation 6 = –16x2 + 24x + 1 represent?

A
the height of the ball after 6 seconds
B
when the ball is 6 ft above the ground
C
the initial upward velocity of the ball
D
the horizontal distance traveled by the ball when it is 6 ft above the ground
12

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
13

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
14

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

A
2 roots
B
3 roots
C
6 roots
D
9 roots
15

Use synthetic division to solve . What is the quotient?

Question illustration
A
x squared + 4 x + 3
Option A
B
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
Option B
C
x cubed + 4 x squared + 3 x
Option C
D
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Option D
16

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

A
Three-halves
Option A
B
Nine-fourths
Option B
C
6
D
9
17

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

A
3, 4, 5, 6
B
3, 4, 5, 6i
C
3, 4, ,
Option C
D
3, 4, 5 + i, –5 + i
18

What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
19

What is the simplified form of the following expression?

Question illustration
A
2 StartRoot 2 EndRoot
Option A
B
5 StartRoot 2 EndRoot
Option B
C
9 StartRoot 2 EndRoot
Option C
D
15 StartRoot 2 EndRoot
Option D
20

For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7?

A
Four-sevenths
Option A
B
Seven-fourths
Option B
C
3
D
28

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