Answers 2022 Algebra II B SSCumulative Exam

Cumulative Exam Answers

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If x is a positive integer, which expression is equivalent to ? Assume .

RootIndex 20 StartRoot x Superscript 7 EndRoot

x (RootIndex 20 StartRoot x cubed EndRoot)

StartFraction RootIndex 6 StartRoot x Superscript 5 Baseline EndRoot Over x squared EndFraction

x cubed (RootIndex 6 StartRoot x Superscript 5 Baseline EndRoot)

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What is the range of the function graphed below?

y greater-than 0

y less-than 0

y greater-than 0

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Which function has a horizontal asymptote of y = 3?

f(x) = 3(2x)

f(x) = 2(4)x–3

f(x) = 2(3x)

f(x) = 2(4x) + 3

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

g(x) = |x + 4| – 2

g(x) = |x – 4| – 2

g(x) = |x – 2| – 4

g(x) = |x – 2| + 4

Which graph shows the solution to the inequality ?

mc013-2.jpg

mc013-3.jpg

mc013-4.jpg

mc013-5.jpg

What is the following product?

6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot

6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot

3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4

2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot

Which expression is equivalent to ? Assume x 0.

StartFraction x cubed StartRoot 2 EndRoot Over 2 EndFraction

StartFraction 4 StartRoot 2 EndRoot Over x cubed EndFraction

StartFraction StartRoot 2 EndRoot Over 2 x cubed EndFraction

StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction

What is the range of the function f(x) = –2(6x) + 3?

(negative infinity, negative 2 Right-bracket

(negative infinity, 3)

Left-bracket negative 2, infinity)

Left-bracket 3, infinity)

Jamal simplified the expression where and . Which describes the error Jamal made?

He should have written the square root of in the answer as , not .

He should have written the 5 inside of the radical in the answer.

He should have written the 3 outside of the radical in the answer.

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

x – 55 = 4.2

x – 55 = –4.2

x + 55 = 4.2

x + 55 = –4.2

Which describes the range of the parent absolute value function?

{y | y is a real number}

{y | y is an integer}

{y|y > 0}

{y|y < 0}

Which function is shown in the graph below?

y = 2 Superscript x minus 2 Baseline + 3

y = 2 Superscript x + 2 Baseline + 3

y = 2 Superscript x minus 3 Baseline + 2

y = 2 Superscript x + 3 Baseline + 2

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

320

737

What is the domain of the function

x less-than negative 2

x greater-than negative 2

x less-than 2

x greater-than 2

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

2 feet

4 feet

11 feet

19 feet

What is the solution of ?

x = –17

x = 13

x = 53

no solution

Which of the following shows the graph of

On a coordinate plane, a curve approaches the y-axis in quadrant 3. It increases into quadrant 2 and crosses the x-axis at (negative 0.5, 0).

On a coordinate plane, a curve approaches the y-axis in quadrant 3. It increases into quadrant 2 and crosses the x-axis at (negative 4, 0).

On a coordinate plane, a curve approaches the y-axis in quadrant 4. It increases into quadrant 1 and crosses the x-axis at (0.5, 0).

On a coordinate plane, a curve approaches the y-axis in quadrant 4. It increases into quadrant 1 and crosses the x-axis at (4, 0).

What is the solution to 3|–3x + 9| = –18?

x = –5

x = 5 or x = 1

x = –5 or x = 1

no solution

Which describes how to graph by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.

Reflect the parent function over the y-axis, and translate it 3 units to the left.

Reflect the parent function over the x-axis, and translate it 8 units to the right.

Reflect the parent function over the x-axis, and translate it 8 units to the left.

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?

x – 0.3 = 4.9 and x – 0.3 = –4.9

x + 0.3 = 4.9 and x + 0.3 = –4.9

x + 4.9 = 0.3 and x + 4.9 = –0.3

x – 4.9 = 0.3 and x – 4.9 = –0.3

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.