Free Printable Algebra 2 Exam

1.

Describe the transformation made on $f\left(x\right)=\sqrt{x}$ to produce $g\left(x\right)=-\frac{2}{3}\sqrt{x+4}-5$

a)

reflection over x-axis, vertical compression by 2/3, left 4, down 5

b)

reflection over y-axis, vertical compression by 2/3, right 4, down 5

c)

right 2/3, horizontal stretch, down 5

d)

vertical stretch by 2/3, right 4, up 5

2.

Determine the domain and range of: $f\left(x\right)=\left(x-2\right)^3-4$

a)

domain: $\left(-\infty,\ \infty\right)$

range:

\left(-\infty,\ \infty\right)

b)

domain: $\left(0,\ 5\right)$

range: $\left(-\infty,\ \infty\right)$

c)

domain: $\left[2,\ \infty\right)$

range:

\left[-4,\ \infty\right)

d)

domain: $\left[2,\ 4\right]$

range:

\left[-\infty,\ \infty\right]

3.

What is the domain and range of the function shown?

a)

domain: $\left[-\infty,\ \infty\right]$
range: $\left[-\infty,\ \infty\right]$

b)

domain: $\left[-8,\ 8\right]$
range: $\left[-6,\ 2\right]$

c)

domain: $\left(-6,\ 2\right)$
range: $\left(-\infty,\ \infty\right)$

d)

domain: $\left(-\infty,\ \infty\right)$
range: $\left(-\infty,\ \infty\right)$

4.

What are the coordinates of the inflection point of the function shown?

a)

(-4.5, 0)

b)

(0, ∞)

c)

(-3, 2)

d)

(-6, -8)

5.

What is the range of the mapping shown?

a)

{-4, -1, 0, 2, 7}

b)

-4 ≤ x ≤ 7

c)

{-5, 0, 1, 2, 4}

d)

-5 ≤ y ≤ 4

6.

A student bought concert tickets online. The total cost, c, in dollars, of t tickets can be found using the function c = $24.50t + 9.50. If the student spent a total of $230 on tickets, how many tickets did he buy?

a)

9 tickets

b)

5644 tickets

c)

24 tickets

d)

9.50 tickets

7.

Which inequality is equivalent to the one shown?

a)

x < 0.64

b)

x > 0.64

c)

no solution

d)

All Real Numbers

8.

What is the domain of graph shown?

a)

-3 ≤ x ≤ 2

b)

{-3, -2, -1, 0, 1, 2}

c)

-5 ≤ y ≤ 2

d)

{-5, -4, -3, -2, -1, 0, 1, 2}

9.

A city employee paints curbs in parking lots and replaces a road sign. The function below can be used to find c, the number of parking lot curbs the employee paints when he replaces r road signs in a 40 hour work week. If the employee painted 55 curbs in one week, how many road signs did he replace that week?

a)

1

b)

3

c)

5

d)

7

10.

Does the table represent a function?

a)

yes, because the y-values repeat

b)

Yes, because the x-values don't repeat

c)

No, because the y-values repeat

d)

No, because the x-values don't repea

11.

Is the graph shown a function?

a)

Yes, passes the vertical line test

b)

No, passes the vertical line test

c)

Yes, doesn't pass the vertical line test

d)

No, doesn't pass the vertical line test

12.

Which set of ordered pairs contains only the points that are on the graph of the function y = 14 - 3x?

a)

{(-5, -1), (0, 14), (7, 35)}

b)

{(-5, -67), (0, 3), (5, 73)}

c)

{(-5, 29), (0, 14), (7, -7)}

d)

{(-5,-73), (0, -3 ), (7, 67)}

13.

What is the solution to the equation:
-5(1-5x)+5(-8x-2)=-4x-8x

a)

x=0

b)

x=1

c)

x=-1

d)

Cannot be determined

14.

What is the y-intercept and what does it represent?

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

15.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

16.

What is the y-intercept of this line: y = 5 - 7x

a)

5

b)

7

c)

1/5

d)

-7

17.

Find the slope from the table.

a)

1/4

b)

-1/4

c)

-4

d)

4

18.

Which equation is being represented by this line?

a)

y = -x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

19.

Write the following equation in slope intercept form:
-x + 3y = 9

a)

y = 1/3x + 3

b)

y = 1/3x + 9

c)

y = -1/3x + 3

d)

3y = x + 9

20.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

Algebra 2 Exam

Total questions: 20

Worksheet time: 20mins

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