Answers SS4 PGCPS ALGEBRA 2 OC SUMMER 2027 - 793033Base e

Unit Test Answers

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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

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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m years, Makayla has $613.04. What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

Makayla invests her money 1 year longer.

Makayla invests her money 2 years longer.

Calvin invests his money 1 year longer.

Calvin invests his money 2 years longer.

Which function is shown in the graph below?

y = (one-half) Superscript x + 3 Baseline minus 1

y = (one-half) Superscript x minus 3 Baseline + 1

y = (one-half) Superscript x minus 1 Baseline + 3

y = (one-half) Superscript x + 1 Baseline minus 3

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

3.3 years

5.0 years

5.6 years

6.6 years

Which expression is equivalent to ?

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Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

; each y-value is the previous y-value multiplied by 9.

; each y-value is the previous y-value plus 9 more than was added previously.

; each y-value is the previous y-value plus 9.

; each y-value is the previous y-value multiplied by another 9.

What is the true solution to the equation below?

and

What is the solution to the equation below?

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What is the value of ?

–4

Negative one-fourth

One-fourth

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 of the following is true about the base b of a logarithmic function?

b > 0 and b = 1

b > 0 and

b < 0 and

b < 0 and b = 1

How does the value of compare with the value of ?

The value of is about 4 times the value of .

The value of is about times the value of .

The value of is about 3 times the value of .

The value of is about times the value of .

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 range of the function

y less-than 0

y greater-than 0

y less-than 4

y greater-than 4

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year

company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year

company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year

company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year

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

One-third

Sixteen-thirds

The area of a rectangle, A = l • w is represented by the expression . Which could be the dimensions of the rectangle?

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For what value of n does ?

–3

Negative three-halves

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.