Answers Common Core Algebra II A-ICGeometric Series

Geometric Series — Unit test Answers

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For what value of n does ?

–3

Negative one-third

Five-ninths

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What is the range of the function

all real numbers less than –1

all real numbers greater than –1

all real numbers less than 1

all real numbers greater than 1

Which equation is represented by the graph below?

y = l n x minus 3

y = l n x minus 4

y = e Superscript x Baseline minus 3

y = e Superscript x Baseline minus 4

What is the approximate value of ?

0.233

0.557

0.620

1.796

Which expression is equivalent to ? Assume and .

2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot)

2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot)

6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot)

12 a Superscript 6 Baseline b (RootIndex 4 StartRoot b EndRoot)

What is the solution of log2 (3x - 7) = 3?

One-third

Sixteen-thirds

If the equation below is solved by graphing, which statement is true?

The curves intersect at approximately x = 0.46.

The curves intersect at approximately x = 0.75.

The curves intersect at approximately x = 1.11.

The curves intersect at approximately x = 3.07.

Which expression is equivalent to ?

8y10

8y50

32y10

32y50

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

2 Superscript one-third

2 Superscript one-half

2 Superscript two-thirds

2 Superscript three-halves

Which graph represents an exponential decay function?

On a coordinate plane, a curve opens up and to the right in quadrant 4.

On a coordinate plane, a curve opens up and to the right in quadrants 1 and 2. The line rapidly decreases in quadrant 2 and then curves and approaches the x-axis in quadrant 1.

On a coordinate plane, a line slightly curves up in quadrant 1.

On a coordinate plane, a line slowly increases in quadrant 2 and then increases rapidly into quadrant 1.

The range of which function is ?

y = 2x

y = 2(5x)

y = 5x +2

y = 5x + 2

If you are given the graph of , how could you graph ?

Translate each point of the graph of h(x) 3 units up.

Translate each point of the graph of h(x) 3 units down.

Translate each point of the graph of h(x) 3 units right.

Translate each point of the graph of h(x) 3 units left.

What is the simplest form of ?

3 x squared (RootIndex 4 StartRoot y Superscript 5 EndRoot

3 x squared y (RootIndex 4 StartRoot y EndRoot)

9 x squared y (RootIndex 4 StartRoot y EndRoot)

9 x Superscript 4 Baseline y squared (RootIndex 4 StartRoot y EndRoot)

For what value of x does ?

–9

–3

Which is the graph of ?

On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.

On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.

On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.

On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.

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 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?