Answers 2022 Algebra II B SSCumulative Exam

Cumulative Exam Answers

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Which expression is equivalent to ?

RootIndex 4 StartRoot 2 cubed EndRoot

StartRoot 2 Superscript 5 EndRoot

RootIndex 4 StartRoot 4 cubed EndRoot

StartRoot 4 Superscript 5 EndRoot

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What is the solution of ?

–8

–6

What is the value of ?

Which graph represents ?

On a coordinate plane, a parabola with a vertex at (0, 0) opens up.

On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.

On a coordinate plane, a cubic function is vertical and goes through (0, 0).

On a coordinate plane, a cubic function is horizontal and goes through (0, 0).

What is the product? Assume

3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot

3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot

StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

Jalen solved the equation by graphing. Which graph can Jalen use to show his solution?

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Which expression is equivalent to ?

x Superscript one-half Baseline y Superscript 4

x Superscript one-eighth Baseline y Superscript 8

x Superscript one-fourth Baseline y Superscript 8

x Superscript one-fourth Baseline y Superscript 4

What are the domain and range of f(x) = 2(3x)?

domain: ; range:

What are the potential solutions of

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What is the solution of ?

x = 5

x = 13

x = 20

x = 328

Which graph shows the solution to the equation below?

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.

On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.

On a coordinate plane, a curve and a line are shown.

On a coordinate plane, a curve and a cubic function are shown.

What is the solution of ?

x = –2500

x = –50

x = –2.5

no solution

The graph of a logarithmic function is shown below.What is the domain of the function?

x < 0

x > 0

x < 1

all real numbers

Which of the following is the inverse of ?

y = log Subscript one-twelfth Baseline x

y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction

y = log Subscript x Baseline 12

y = log Subscript 12 Baseline x

Which expression is equivalent to ? Assume x 0 and .

StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction

StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction

StartFraction 4 x squared y Over 9 EndFraction

StartFraction 2 x squared y Over 3 EndFraction

What is the solution to

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The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

{y | –5 < y < 5}

{y | –5 < y < –1}

{y | 1 < y < 5}

{y | 1 < y < –1}

What is the solution to 4|0.5x – 2.5| = 0?

x = 1.25

x = 5

x = –1.25 or x = 1.25

x = –5 or x = 5

How is the graph of transformed to produce the graph of ?

It is stretched horizontally by a factor of 2 and translated up 3 units.

It is compressed horizontally by a factor of 2 and translated up 3 units.

It is stretched vertically by a factor of 2 and translated up 3 units.

It is compressed vertically by a factor of 2 and translated up 3 units.

What is the value of ?

–4.00

–0.25

1.51

2.41

Which expression is equivalent to ? Assume .

(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)

(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)

(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)

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

Option

What is the following product?

–2

22 –

98 –

What is the true solution to

x = 5

x = 10

x = 50

x = 100

What is the vertex of the graph of f(x) = |x – 13| + 11?

(–11, 13)

(–13, 11)

(11, 13)

(13, 11)

The graph of y = is a horizontal translation of y = . Which is the graph of y = ?

On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (2.5, 0), and goes through (10, 2).

On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 3, 0), and goes through (4, 2).

On a coordinate plane, a cube root function goes through (negative 10, 1), has an inflection point at (0, 3), and goes through (8, 5).

On a coordinate plane, a cube root function goes through (negative 8, negative 5), has an inflectoin point at (0, negative 3), and goes through (8, negative 1).

The graph of f(x) = is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list contains three points that lie on the graph of the reflection?

(–81, 9), (–36, 6), (–1, 1)

(1, –1), (16, –4), (36, –6)

(–49, 7), (–18, 9), (–1, 1)

(1, –1), (4, –16), (5, –25)

Hiroto solved the equation 6 – 4|2x – 8| = –10 for one solution. His work is shown below.6 – 4|2x – 8| = –10 –4|2x – 8| = –16|2x – 8| = 42x – 8 = 42x = 12 x = 6

–6

–4

What is the following sum?

4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)

8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)

16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)

48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)

Which of the following is the graph of ?

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.

Which expression is equivalent to ? Assume .

x y squared StartRoot 8 x cubed EndRoot

2 x cubed y cubed StartRoot x y squared EndRoot

2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot

4 x cubed y Superscript 4 Baseline StartRoot x EndRoot

What is the simplified form of the following expression?

StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction

StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction

StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction

StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction

What is the solution to the inequality ?

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Which equation is represented by the graph below?

y = one-eighth e Superscript x

y = one-half e Superscript x

y = 2 e Superscript x

y = 8 e Superscript x

Which statement is true about the function f(x) = ?

It has the same domain and range as the function f(x) = .

It has the same range but not the same domain as the function f(x) = .

It has the same domain and range as the function f(x) = .

It has the same range but not the same domain as the function f(x) = .

Which graph represents ?

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.

On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.

What is the simplified form of the following expression?

2 StartRoot 2 EndRoot

5 StartRoot 2 EndRoot

9 StartRoot 2 EndRoot

15 StartRoot 2 EndRoot

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

The graph of g(x) is a translation of f(x) 2 units left.

The graph of g(x) is a translation of f(x) 2 units right.

The graph of g(x) is a translation of f(x) 2 units up.

The graph of g(x) is a translation of f(x) 2 units down.

Which expression is equivalent to ?

2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4

2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16

2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4

2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4

What is written as a single logarithm?

log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket

log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)

log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket

log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)

What is the simplified form of the following expression? Assume

StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction

StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction

StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction

RootIndex 4 StartRoot 12 x squared EndRoot

What are the potential solutions of

and

Which of the following describes the transformation of from the parent function ?

reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up

reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up

reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up

reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

Which cube root function is always decreasing as x increases?

f(x) =

The radius of a circle with an area of 60 square centimeters is represented by the expression centimeters. What is another way of expressing the radius?