Algebra 2 EOC Practice

Some values for the function f(x) = log x are given in Table 1. Which function can generate all the values in Table 2?

• g(x) = x¹⁰

• g(x) = 10^x

• g(x) = 10/x

• g(x) = 10x

For what value of c will the graphs of y = 2x² − 36x + c and y = 2(x − 9) ² − 18 be the same?

• 63

• -180

• 99

• 144

The rectangular patio shown in the diagram below is enclosed on three sides by a fence.The area of this patio is no more than 400 square feet. The total length of the three sides of this fence is no more than 60 feet. Which system of inequalities can be used to find values of l, the patio’s length, and w, the patio’s width, that will satisfy these conditions?

• B

• C

• D

The graph of the quadratic function f is shown on the grid below What does the solution set for f(x) = 0 appear to be?

• 12,5

• 12.5, -25

• 7.5, 17.5

• 7.5, 12.5, 17.5

The cost of printing cookbooks is $2.09 per book plus a one-time setup fee of $349. All taxes are included. Which of the following functions models a(x), the average cost per book of printing x cookbooks?

• A

• B

• C

• D

Which graph best represents the parent function of y = 4(x +3) ?

• F

• G

• H

• J

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales m months after January?

• A

• B

• C

• D

The graph of the function f is shown on the grid below Based on the graph, for what values of x is f(x) > 0

• All real numbers greater than 0

• All real numbers greater than 1

• All real numbers < -2 and >2

• All real numbers > -2 and <2

The sum of a number, n, and its square root can be represented by the equation y = n + n^0.5 . If y = 20, which of the following is true

• n=16

• n=4

• n=16 and n=25

• n=4 and n=5

The graph of the function h was obtained from the graph of the function g using a composite transformation, as shown below. Which equation can be used to describe h(x) in terms of g(x)z?

• h(x) = g(x + 4) + 2

• h(x) = g(x + 4) -2

• h(x) = g(x - 4) - 2

• h(x) = g(x -4) + 2