Free Printable Algebra II Final Review Assignment 2026

1.

Solve

-5x + 1 = -19

a)

x=4

b)

x=-4

c)

x=5

d)

x=-5

2.

Solve

$\frac{1}{4}x=-2$

a)

x=2

b)

x=-2

c)

x=8

d)

x=-8

3.

Solve

2+ $\frac{1}{2}x$ =-20

a)

x=22

b)

x=-40

c)

x=-44

d)

x=44

4.

Solve

-3(2x-1)=15

a)

x=6

b)

x=-6

c)

x=2

d)

x=-2

5.

Solve

$15=6+\frac{3}{2}x$

a)

x=6

b)

x=-6

c)

x=12

d)

x=-12

6.

$\left|x+7\right|=12$

a)

$x=5\ or\ x=-19$

b)

$x=5\ or\ x=-5$

c)

$x=5$

d)

$x=-5\ or\ x=19$

7.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

8.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

9.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

10.

FIND THE SLOPE.

a)

A

b)

B

c)

C

d)

D

11.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

12.

Which graph represents the equation $y=4x-1$ ?

a)

b)

c)

d)

13.

Which graph represents the equation $x+5y=5$

a)

b)

c)

d)

14.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

15.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

16.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

17.

Classify by number of terms:
9x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

18.

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

a)

125 + 7x - 14x² +6x⁴

b)

6x⁴ -14x² - 7x +125

c)

125 + 14x² + 7x - 6x⁴

d)

-6x⁴+ 14x² + 7x - 125

19.

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

a)

-5x⁵ + 2x³ - 6x

b)

7x⁵ - 6x

c)

-5x³ + 2x² - 6x

d)

-5x⁵ - 6x

20.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

21.

What is the constant in the polynomial x²-2x+5?

a)

1

b)

2

c)

5

d)

0

22.

What is the leading coefficient in the polynomial 3x²-2x+5?

a)

3

b)

2

c)

5

d)

0

23.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

24.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

25.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

26.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

27.

4x² - 3x + 5 is classified as a...

a)

Cubic Monomial

b)

Cubic Trinomial

c)

Quadratic Trinomial

d)

Quadratic Binomial

28.

$\left(4a-7\right)\left(3a-2\right)$

a)

$12a^2-13a+14$

b)

$12a^2-29a+14$

c)

$12a^2+29a-14$

29.

$\left(n+2\right)\left(n^2+5n-3\right)$

a)

$n^3+7n^2+13n-6$

b)

$n^3+7n^2+-7n+6$

c)

$n^3+7n^2+7n-6$

30.

Multiply

a)

b)

c)

d)

31.

Simplify: (e - 7)²

a)

e²-49

b)

e²+49

c)

e²-14e+49

d)

e²-14e-49

32.

Simplify the following radical: $\sqrt[]{32}$

a)

$3\sqrt[]{2}$

b)

$4\sqrt[]{8}$

c)

$16\sqrt[]{2}$

d)

$4\sqrt[]{2}$

33.

Simplify the following radical: $\sqrt[]{72}$

a)

$8\sqrt[]{3}$

b)

$6\sqrt[]{2}$

c)

$3\sqrt[]{8}$

d)

$4\sqrt[]{8}$

34.

Simplify the following radical: $\sqrt[]{108}$

a)

$6\sqrt[]{3}$

b)

$3\sqrt[]{12}$

c)

$12\sqrt[]{3}$

d)

$4\sqrt[]{3}$

35.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

36.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

37.

Simplify -2√10 ⋅ 3√20

a)

-60√2

b)

10√2

c)

√30

d)

-6√200

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

Simplify.

$\frac{4\sqrt{4}}{4\sqrt{3}}$

a)

$\frac{\sqrt{2}}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{\sqrt{6}}{3}$

d)

$\frac{2\sqrt{3}}{3}$

41.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

42.

Solve for x:
(x+6)²=49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

43.

7x² + 1 = 8

a)

± 1

b)

± 7

c)

± √7

d)

± 8

44.

Solve by taking square roots:

3 + r² = 12

a)

r = $\pm\sqrt{12}$ - 3

b)

r = 3, r = - 3

c)

r = -3

d)

r = 3

45.

Solve.
2(2x - 4)² = 32

a)

x = 4

b)

x = 10

c)

x = -2

d)

x = 0, 4

46.

Identify the GCF.

64g² - 8g

a)

8g²

b)

8g

c)

4g

d)

4g²

47.

Factor:

21xy - 8

a)

3(7xy - 5)

b)

2(11xy - 4)

c)

Prime

d)

x(21y - 8)

48.

Factor

12x - 9y

a)

3(4x + 3y)

b)

x(12+9)

c)

3(4x - 3y)

d)

not factorable

49.

Factor:
18a²-15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

50.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

51.

Factor 4x²-9

a)

(4x-9)(4x+9)

b)

(2x-3)(2x+3)

c)

2x-3

d)

(2x-4.5)(2x+4.5)

52.

Factor completely.

121x² - 49

a)

( 11x - 7 ) ²

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

53.

32n² - 50
(Check for a GCF)

a)

(16n - 25)(16n + 25)

b)

2(8n - 25)(8n + 25)

c)

2(4n + 5)(4n - 5)

d)

Not Factorable

54.

Factor by rearrangin to use difference of squares
-64 + x²

a)

(x-8)(x+8)

b)

(8-x)(8+x)

c)

(-8+x)(-8-x)

d)

(x-64)(x+64)

55.

36x² - 64

a)

(6x - 8)(6x + 8)

b)

4(3x - 4)(3x + 4)

c)

Not Factorable

d)

(9x - 16)(9x + 16)

56.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

57.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

58.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

59.

Factor
x²+ 12x + 36

a)

(x + 6)(x +6)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 6)(x - 6)

60.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

61.

Factor $n^2+16n+63$

a)

$(n-7)(n+4)$

b)

$(n+7)(n-9)$

c)

$(n-3)(n-10)$

d)

$(n+7)(n+9)$

62.

$3p^2-2p-5$

a)

$\left(x+1\right)\left(3x-5\right)$

b)

$\left(3x+5\right)\left(3x-3\right)$

c)

$\left(x-15\right)\left(x+5\right)$

d)

$\left(x-1\right)\left(3x+5\right)$

63.

$2n^2+3n-9$

a)

(2n-3)(n+3)

b)

(2n+3)(n-3)

c)

(n-18)(n+3)

d)

(2n-9)(n+6)

64.

$5n^2+19n+12$

a)

(5n+3)(n+4)

b)

(n+4)(n+15)

c)

(3n+5)(n+19)

d)

(5n+4)(n+3)

65.

$9k^2+66k+21$ Hint: GCF

a)

(3k+1)(k+7)

b)

3(3k+1)(k+7)

c)

3(k+1)(k+21)

d)

(3k+1)(k+21)

66.

$4n^2-15n-25$

a)

(4n+100)(n-4)

b)

(5n-4)(n+21)

c)

(4n+5)(n-5)

d)

(4n-5)(n-5)

67.

$4n^2-17n+4$

a)

(4n+4)(n+1)

b)

(4n-1)(n-4)

c)

(n-16)(n-1)

d)

(4n-16)(n-1)

68.

What is the vertex?
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

69.

Graph the quadratic.

a)

A

b)

B

c)

C

d)

D

70.

Graph the quadratic.

a)

A

b)

B

c)

C

d)

D

71.

What are the x-intercepts for the function below?

y=\left(x-3\right)\left(x+7\right)

a)

(3, 0) and (7, 0)

b)

(3, 0) and (-7, 0)

c)

(-3, 0) and (7, 0)

d)

(-3, 0) and (-7, 0)

72.

What are the x-intercepts for the function below?

y=x\left(x-5\right)

a)

(5, 0) only

b)

(-5, 0) only

c)

(0, 0) and (5, 0)

d)

(0, 0) and (-5, 0)

73.

If the x-intercepts are at 2 and 10, what is the x-value of the vertex? (don't worry about the y-value here)

a)

(2, __)

b)

(4, __)

c)

(6, __)

d)

(8, __)

e)

(10, __)

74.

Given the function

y=x\left(x-8\right)

and that the x-value of the vertex is 4, what is the vertex?

a)

(4, -16)

b)

(4, 16)

c)

(4, -8)

d)

(4, 8)

75.

What is the vertex of this function?

y\ =\ \left(x+2\right)\left(x+4\right)

a)

(-3, 0)

b)

(-3, 1)

c)

(-3, -1)

d)

(-3, -4)

76.

Which equation is graphed above?

a)

$y=-\left(x-1\right)^2+4$

b)

$y=\left(x-1\right)^2+4$

c)

$y=-\left(x-4\right)^2+1$

d)

$y=\left(x-4\right)^2+1$

77.

Which equations matches the graph above?

a)

$h\left(x\right)=\ \left(x+1\right)^2-4$

b)

$h\left(x\right)=-\left(x+1\right)^2-4$

c)

$h\left(x\right)=\left(x+4\right)^2-1$

d)

$h\left(x\right)=-\left(x+4\right)^2+1$

78.

$f\left(x\right)=-\left(x-4\right)^2+1$

Choose the correct graph of the equation.

a)

b)

c)

d)

79.

Which equation matches the graphed above?

a)

$p\left(x\right)=\left(x-1\right)^2+4$

b)

$p\left(x\right)=\left(x-4\right)+1$

c)

$p\left(x\right)=-\left(x+1\right)^2-4$

d)

$p\left(x\right)=-\left(x+4\right)\ ^2-1$

80.

x²+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

81.

x²=18x-81

a)

x= -9, -9

b)

x= 9, 9

c)

x= -9, 9

82.

3x²+9x-30=0

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

83.

6x²-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

84.

Solve

3x² + 5x = 12

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

85.

Solve

3x² + 5x = 12

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

86.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

87.

Solve by factoring:
x² - 9x = 0

a)

9

b)

0, 9

c)

-9, 0

d)

-9

88.

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

89.

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

x² + 6x - 3 = 0

a)

x = -3 ± √12

b)

x = 3 ± √12

c)

x = 12 ± √3

d)

x = -12 ± √3

90.

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

x² + 12x + 10 = 0

a)

x = -6 ± √26

b)

x = 6 ± √26

c)

x = 26 ± √6

d)

x = -26 ± √6

91.

a)

A

b)

B

c)

C

d)

D

92.

Solve using the quadratic formula.

x² +12x - 5 = 0

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

93.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

94.

a)

F

b)

G

c)

H

d)

I

95.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

96.

Given $f\left(x\right)=3x+9$ , find $f\left(-4\right)$ .

a)

$-3$

b)

$21$

c)

$8$

d)

$-12$

97.

What is the solution to

y = x - 2

y = -x + 2

a)

(0, 2)

b)

(-2, 2)

c)

(1, -1)

d)

(2, 0)

98.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

99.

You buy a car for $8000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?

Round to the nearest cent. (two decimal places)

(a)

100.

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

a)

25,082

b)

12,937

c)

62,000

d)

43,511

Algebra II Final Review Assignment 2026

Total questions: 100

Worksheet time: 25hrs 0mins

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