AnswersCR - Algebra 2 26-27 - S1Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
2
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If is the inverse of and , what is ?

Question illustration
A
g (x) = 12 x + 4
Option A
B
g (x) = one-fourth x minus 12
Option B
C
g (x) = x minus 3
Option C
D
g (x) = one-fourth x minus 3
Option D
3

If what is the value of w in terms of x and y?

Question illustration
A
w = StartFraction x minus 3 y Over 3 EndFraction
Option A
B
w = StartFraction x minus 3 y + 1 Over 3 EndFraction
Option B
C
w = x minus 3 y + 1
Option C
D
w = StartFraction x + 1 Over 9 y EndFraction
Option D
4

What is the domain of the square root function graphed below?

Question illustration
A
x greater-than-or-equal-to negative 4
Option A
B
x greater-than negative 4
Option B
C
x greater-than-or-equal-to 0
Option C
D
x greater-than 0
Option D
5

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

A
5x3 + 9x2 + 15x + 27
B
25x2 + 90x + 84
C
x2 + 5x + 12
D
5x2 + 24
6

Which equation could generate the curve in the graph below?

Question illustration
A
y = 9x2 + 6x + 4
B
y = 6x2 – 12x – 6
C
y = 3x2 + 7x + 5
D
y = 2x2 + 8x + 8
7

Which expression is a perfect cube?

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

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
9

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x?

A
2 plus-or-minus StartRoot 10 EndRoot i
Option A
B
1 plus-or-minus StartRoot 10 EndRoot i
Option B
C
StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction
Option C
D
1 plus-or-minus StartRoot 5 EndRoot i
Option D
10

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
11

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = –25 or x = 10
B
x = –25, x = 1, or x = 10
C
x = –10 or x = 5
D
x = –10, x = –5, or x = 5
12

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

A
(16, positive infinity)
Option A
B
(Negative 16, positive infinity)
Option B
C
(Negative infinity, 16)
Option C
D
(Negative infinity, Negative 16)
Option D
13

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

A
u = x2
B
u = x4
C
u = x8
D
u = x16
14

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
15

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
16

The total number of degrees, D, in an n-sided polygon is given by the formula When Janelle solves for n, she gets . Sophie solved the same equation for n and got an equivalent equation. Which of the following could be Sophie’s equation?

Question illustration
A
n = StartFraction D Over 360 EndFraction + 2
Option A
B
n = StartFraction D Over 180 EndFraction minus 2
Option B
C
n = D minus 178
Option C
D
n = D minus 182
Option D
17

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

A
and x = ±1
Option A
B
and x = ±i
Option B
C
and x = ±1
Option C
D
and x = ±i
Option D
18

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
19

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

A
7 nickels
B
8 nickels
C
9 nickels
D
11 nickels
20

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

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