Free Printable Algebra 2 Semester 1 Finals Review

1.

How does the graph of $y\ =\ \sqrt{x}$ compare to the graph of $y\ =\ \sqrt{x}-4$

a)

$y\ =\ \sqrt{x}-4$ is 4 units up

b)

$y\ =\ \sqrt{x}-4$ is 4 units down

c)

$y\ =\ \sqrt{x}-4$ is 4 units right

d)

$y\ =\ \sqrt{x}-4$ is 4 units left

2.

Which is the equation for the graph?

a)

$y\ =\ \sqrt{x+\ 2}+\ 5$

b)

$y\ =\ \sqrt{x-2}+\ 5$

c)

$y\ =\ \sqrt{x-5}+\ 2$

d)

$y\ =\ \sqrt{x-5}-\ 2$

3.

Describe the translation from the graph of y = |x| to the graph of y = -|x - 3| + 2.

a)

Reflected across the x-axis; 3 units right; 2 units up

b)

Reflected across the y-axis; 2 units right; 3 units up

c)

Reflected across the x-axis; 2 units left; 3 units up

d)

Reflected across the y-axis; 3 units left; 2 units up

4.

What is the solution to the following system of equations?

−x − 5y − 5z = 2

4x − 5y + 4z = 19

x + 5y − z = −20

a)

Infinitely many solutions

b)

No solutions

c)

(-2, -3, 3)

d)

(4, 0, -7)

5.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

6.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

7.

3v² - 8v + 5

a)

(3v + 5)(v - 1)

b)

(3v - 5)(v + 1)

c)

(3v - 5)(v - 1)

d)

(3v + 5)(v + 1)

8.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

9.

Factor:
25x²- 100y²

a)

( 5x - 10y) (5xy + 10y)

b)

( 5x - 10y)²

c)

Prime

d)

( 5x - 50y) (5x + 50y)

10.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

11.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

12.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

13.

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

a)

x = -3 ± √7

b)

x = 3 ± √7

c)

x = 7 ± √3

d)

x = -7 ± √3

14.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

15.

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

$f\left(x\right)\ =\ x^2$

OR

$y=x^2$

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

19.

f(x) = IxI

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

20.

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

21.

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

22.

$f\left(x\right)=x^3$

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

23.

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

24.

$f\left(x\right)=2^x$

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

25.

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

26.

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

27.

$f\left(x\right)\ =\ \sqrt[]{x}$

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

28.

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

29.

$f\left(x\right)=\frac{1}{x}$

a)

Cubic

b)

Exponential

c)

Square Root

d)

Reciprocal

30.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

31.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

32.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

a)

y = x² + 2

b)

y = -x² + 2

c)

y = x² - 2

d)

y = -(x + 2)²

33.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

34.

Write the following in interval notation.

x < 8

a)

(8, -∞)

b)

(-∞, 8]

c)

(-∞, 8)

35.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

36.

Write the following in interval notation.

x ≥ 100

a)

(0, 100]

b)

(∞, 100]

c)

[100, ∞)

37.

Write this in interval notation.

$x>-9$

a)

$\left(-9,\ \infty\right)$

b)

$\left[-9,\ \infty\right]$

c)

$\left[-9.\ \infty\right)$

38.

Write this in interval notation.

$x\le6$

a)

$\left(-\infty,\ 6\right]$

b)

$\left(-\infty,\ 6\right)$

c)

$\left[-\infty,\ 6\right]$

39.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

40.

Write the interval notation for the graph?

a)

[-3, 2)

b)

-3<x<2

c)

(-∞, -3] U (2, ∞)

d)

x > 2 or x < -3

41.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

42.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

43.

(4+7i)+(8-2i)=

a)

34i

b)

28+6i

c)

12+5i

d)

-4+9i

44.

(3-2i)-(4-2i)=

a)

-1+0i

b)

7-4i

c)

1-2i

d)

-i

45.

(2-i)(3+i)

a)

5-i

b)

7

c)

7-i

46.

(3-4i)(2+i)

a)

-12+2i

b)

-24i

c)

10-5i

47.

(5-3i)(2-5i)

a)

25-31i

b)

-5-31i

c)

-15-10i

d)

-25i

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

51.

(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

52.

(2x+6)(2x-6)

a)

4x²+24x-36

b)

6x+12

c)

4x²-36

d)

2x+6+2x-6

53.

Simplify. Write your answer in standard form.
(2x²-4y+7xy-6y²) - (-3x²+5y-4xy+y²)

a)

-5x² + 9y - 11xy + 7y²

b)

-x² + y + 3xy - 5y²

c)

-x² - 9y + 11xy - 7y²

d)

5x² - 9y + 11xy - 7y²

54.

y = -6x - 2

y = 4x - 12

a)

(1, 8)

b)

(1, -8)

c)

(-1, 8)

d)

(1, 0)

55.

y = -5x + 16

3x + 5y = -8

a)

(-1, -1)

b)

(1, 4)

c)

(-1, -2)

d)

(-1, 2)

56.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

57.

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

58.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

59.

$f\left(x\right)=x^2-9x+2$
Evaluate: $f\left(-2\right)$

a)

$f\left(-2\right)=24$

b)

$f\left(-2\right)=-20$

c)

$f\left(-2\right)=16$

d)

$f\left(-2\right)=-12$

60.

$h\left(x\right)=x^2-4x$
evaluate: h(-5)

4 lines

61.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

62.

$\frac{5x}{7}-\frac{x}{14}=\frac{9}{7}$

Put just the value of x into the blank.

(a)

63.

$\frac{2}{3}x-\frac{1}{6}=\frac{5}{6}x-\frac{2}{3}$

Put just the value of x into the blank.

(a)

64.

$\frac{5}{12}x-\frac{3}{4}=\frac{7}{6}-\frac{2}{9}x$

Put just the value of x into the blank.

(a)

Algebra 2 Semester 1 Finals Review

Total questions: 64

Worksheet time: 5hrs 19mins

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