Free Printable Spring 2021 - Algebra 2 Final Exam Review

1.

What is the y-intercept of f(x)=3x² - 8x + 2. Remember x = 0 for the y-intercept.

a)

(0, 2)

b)

(0, -2)

c)

(0, -8)

d)

(0, 3)

2.

What is the vertex of y = (x + 3)² - 5

a)

(3, -5)

b)

(-3, 5)

c)

(-3, -5)

d)

(3, 5)

3.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

4.

What is f when x equals 0?

a)

-5

b)

0

c)

1/2

d)

1

5.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation h = -2t²+ 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

6.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

7.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

a)

y=15x-25

b)

15x+25y=100

c)

25x+y=15

d)

y=15x+25

8.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

9.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

10.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

11.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

12.

Solve by substitution.

y = 2x + 1

y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

13.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

14.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

15.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

16.

Solve the system of Equation (Elimination Method)
5x + y = 9
10x − 7y = −18

a)

(-4,-1)

b)

(-1,-4)

c)

(4,1)

d)

(1, 4)

17.

Solve using the quadratic formula or factoring:

2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

18.

Solve the equation
(x + 3)² = 49.

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

19.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

20.

Find the vertex of f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

21.

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

22.

Use the quadratic formula or factoring to solve 2x² + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

23.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

24.

Use the quadratic formula to find the solutions for

y = 2x² - 9x + 5

a)

-8.14 and -6.14

b)

4.07 and 3.07

c)

3.85 and 0.65

d)

ZERO solutions

25.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

a)

b)

c)

d)

26.

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) and passes through the point (3, 4).

a)

y = -4(x - 2)(x - 4)

b)

y = -4(x + 2)(x + 4)

c)

y = 4(x - 2)(x - 4)

d)

y = -0.25(x - 2)(x - 4)

27.

Solve for k.

a)

k = -180

b)

k = 90

c)

k = 180

d)

k = 360

28.

Solve for x.

a)

x = 12

b)

x = 4

c)

x = 6

d)

no solution

29.

If g(x)=2x+5, what is the value of g(4)?

(a)

30.

If f(x)=2(3^x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

31.

Solve.

a)

no solution

b)

6

c)

3

d)

4

32.

Solve

a)

2

b)

-27/7

c)

-32/7

d)

27/7

33.

What is y when x equals 8?

a)

-9

b)

-5

c)

2

d)

4

34.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

35.

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?

a)

47

b)

58

c)

69

d)

113

36.

Solve by cross-multiplying

a)

x = 6

b)

x = -6

c)

x = 6/7

d)

x = -6/7

37.

Solve! $\frac{x+2}{8}=\frac{3}{4}$

a)

$x=2$

b)

$x=6$

c)

$x=4$

d)

$x=8$

38.

Solve:

\frac{x-1}{1}=\frac{x^2\ -4x\ +\ 3}{x\ +\ 2}

4 lines

39.

Solve.
$\frac{7}{2}=\frac{4+2x}{2\ -\ 4x}$

4 lines

40.

Evaluate $\frac{-x+4}{2x-1}\ for\ x=-2$

a)

$-\frac{6}{5}$

b)

$\frac{6}{3}$

c)

$-\frac{2}{5}$

d)

$\frac{2}{3}$

41.

Evaluate the expression $\frac{2𝑦^2+5𝑦+3}{2y-4}\ for\ y=2$ .

a)

21

b)

1

c)

0

d)

undefined

42.

Evaluate $\frac{x^2-2x+1}{x-1}\ for\ x=2$

a)

$5$

b)

$-5$

c)

$-1$

d)

$1$

43.

Evaluate $\frac{2s+3t}{s-t}\ for\ s=5\ and\ t=-1$

a)

$\frac{13}{4}$

b)

$\frac{13}{6}$

c)

$\frac{7}{6}$

d)

$-\frac{7}{4}$

44.

Solve the system of equations:

y=2x

x + y = 9

a)

(6, 3)

b)

(3, 6)

c)

(-3, -6)

d)

no solution

45.

The speed traveled by a tidal wave can be modeled by the equation, $S=356\sqrt{d}$ where S is the speed in kilometers per hour, and d is the average depth of the water in kilometers. If a tidal wave is traveling at 115 kilometers per hour. What is the average depth of the water, to the nearest thousandth of a kilometer.

a)

0.104km

b)

0.323km

c)

9.583km

d)

3817.675km

46.

The perimeter of a rectangle can be modeled by the equation $2\sqrt{x+2}\ +8=\ 24$ Find x.

a)

x = 7

b)

x = 14

c)

x = 62

d)

x = 254

47.

The horizon (skyline) is a line that separates the earth from the sky. The distance to the horizon from an observer close to the Earth's surface can be approximated by the equation, $d=3.57\sqrt{h}$ where d is the distance in kilometers and h is the height above ground level in meters.

What is the distance to the horizon at an average eye-level height of 1.7 meters?

a)

0.23 km

b)

4.41 km

c)

4.64 km

d)

6.07 km

48.

Solve the cube root equation

a)

78

b)

-228

c)

228

d)

-78

49.

Solve by factoring or quadratic formula: x² + 4x - 40 = -8

a)

x = -10 and x = -4

b)

x = -4 and x = 10

c)

x = -8 and x = 4

d)

x = 8 and x = -4

50.

Solve by factoring or quadratic formula: -x² - 5x + 12 = 0

a)

x = -4.9 and x = -0.1

b)

x = -8.54 and x = 8.54

c)

x = -0.45 and x = 3.55

d)

x = -6.77 and x = 1.77

Spring 2021 - Algebra 2 Final Exam Review

Total questions: 50

Worksheet time: 4hrs 22mins

Similar Resources on Wayground