AnswersCR - Algebra 2 26-27 - S1Cumulative 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
22
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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
23

What is the factored form of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

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
25

Which expression is equivalent to (4 + 7i)(3 + 4i)?

A
–16 + 37i
B
12 – 28i
C
16 – 37i
D
37 + 16i
26

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

A
x + 1
B
x
C
2
D
0
27

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
28

What is the common difference in the following arithmetic sequence?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

Sandra graphed the system of equations that can be used to solve . What are the roots of the polynomial equation?

Question illustration
A
–12, 12
B
–4, 3
C
–3, 4
D
–1, 1
30

The polynomial equation has complex roots . What is the other root? Use a graphing calculator and a system of equations.

Question illustration
A
–9
B
–1
C
0
D
1
31

Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
32

Joylin win a $50 gift card for the local movie theater. She uses the entire amount on the card to purchase tickets and snacks for her family. If Joylin spends $6 more on tickets than she does on snacks, how much does Joylin spend on tickets?

A
$19
B
$22
C
$28
D
$31
33

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
34

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12, ....?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Option A
B
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
Option B
C
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
Option C
D
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
Option D
36

Which of the following graphs represents a function?

A
On a coordinate plane, a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0, 0.75). The curved line connects with the straight line at (1, 0.75). The straight line has a negative slope and goes through the x-axis at (2, 0).
Option A
B
On a coordinate plane, a circle intercepts the x-axis at points (negative 2, 0) and (2, 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.
Option B
C
On a coordinate plane, a parabola opens right and has a vertex at (negative 3, 3).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 3), (negative 2, negative 5), (negative 1, negative 3), (1, 3), (2, negative 2), (4, negative 2), (4, 2).
Option D
37

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

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
38

Which expression is equivalent to ? Assume .

Question illustration
A
–50x8y18
B
–2x8y18
C
–2x12y72
D
5x8y18
39

What is the solution of ?

Question illustration
A
c = 0 and c = 3
B
all real numbers
C
all real numbers, except c ¹ 0 and c ¹ 3
D
no solution
40

What is the value of y in the sequence below?

Question illustration
A
–6
B
–3
C
3
D
6

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