Free Printable Algebra 2 Final Review

1.

Which sets of numbers does √5 belong to?

a)

R, N, I

b)

Z, W, R

c)

I, Q, R

d)

I, R

2.

Simplify: (2x⁴-4x²+5x+2) ÷ (x+2)

a)

2x³-4x²+4x-13+-10/(x+2)

b)

2x³-8x²+16x-27+ 52/(x+2)

c)

2x³-4x²+4x-3+8/(x+2)

d)

2x²-8x+21-40/(x+2)

3.

Factor 9x²-64

a)

(3x-8)(3x+8)

b)

(2x-8)(2x+8)

c)

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

d)

(3x-8)²

4.

How many real solutions does x²-8x+16 = 0 have?

a)

0

b)

1

c)

2

d)

infinitely many

5.

Find the value of the discriminant: 4x²-7x+8

a)

√79

b)

√-79

c)

-79

d)

-7±i√79/8

6.

Write the following parabola in vertex form: y = -2x²+16x+4

a)

y=-2(x-4)²+4

b)

y =-2(x+4)²+36

c)

y=-2(x+4)²+4

d)

y =-2(x-4)²+36

7.

Solve: (x-4)²-18 = 0

a)

x = 4 + 3√2

b)

x = 8.24, -.24

c)

x = 4 ± 3√2

d)

x = 4 ± √18

8.

The quadratic whose roots are -3 and 4.

a)

x²+x-12

b)

x²-x + 12

c)

x²+x+12

d)

x²-x-12

9.

What is the value: √-9 ⋅ √-16

a)

-12

b)

12i²

c)

12i

d)

-12i

10.

Simplify:
(2+3i)/(5+2i)

a)

(11 + 16i)/29

b)

(16 + 11i)/29

c)

16/29

d)

(4 + 11i)/29

11.

What is the vertex:
y = 2(x-3)²+18

a)

(-3,-18)

b)

(3,-18)

c)

(-3,18)

d)

(3,18)

12.

Which equation is perpendicular to y = 2x + 5?

a)

y = -1/2x + 7

b)

y = 1/2x + 7

c)

y = 2x + 7

d)

y = -2x + 7

13.

What is the equation of the line that passes through (0,4) and (5,0)?

a)

y = -4/5x + 0

b)

y = -4/5x + 5

c)

y = -4/5x + 9

d)

y = -4/5x + 4

14.

Solve: x²+x+1=0

a)

(1 ± i√3)/2

b)

(1±i√2)/2

c)

(-1±i√3)/2

d)

-1±i√2)/2

15.

Evaluate:
∣-6∣⋅2³ - (5-7)²

a)

32

b)

52

c)

44

d)

48

16.

What would you add to
x²-16x+___ to complete the square?

a)

4

b)

64

c)

16

d)

8

17.

Which quadratic is the widest?

a)

y = -3/4x²+4x+1

b)

y=2x²-3x+7

c)

y=-4x²+9

d)

y=7/5x²-5x+1

18.

The parabola y = x² - 2x + 4 will have a vertex of

a)

(-1, 2)

b)

(1, 2)

c)

(-1, 3)

d)

(1, 3)

19.

Solve for x
3 l 4w−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

20.

a)

A

b)

B

c)

C

d)

D

21.

(1-3i)(2+5i)

a)

22-i

b)

16-i

c)

17-i

22.

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

a)

b)

c)

d)

23.

Find the product.

(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

24.

Solve the following quadratic inequality:

$p^2-64>0$

a)

$p>8$ or $p>-8$

b)

$-8<x<8$

c)

$p<-8$ or $p>8$

d)

$p<-8$ or $p<8$

25.

Give the vertex of the equation.

a)

(1, -6)

b)

(-1, -6)

c)

(-6, 1)

d)

(1, 6)

26.

Factor Completely: 2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

27.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

28.

Convert the following equation to Standard Form

$y=\frac{1}{2}x+2$

a)

$x+2y=4$

b)

$x-2y=-4$

c)

$x+2y=-4$

d)

$x-2y=4$

29.

Write an equation of a line PARALLEL to $y=-6x-1$ and goes through (1, 7).

a)

$y=-6x+13$

b)

$y=-6x+2$

c)

$y=6x+10$

d)

$y=-6x+15$

30.

Write the equation of a line PERPENDICULAR to y = -2x + 1 and passes through the point (2, 3).

a)

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

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

31.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

32.

Classify this polynomial by its degree and number of terms: x² + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

33.

How many real zeros does the function have?

a)

None

b)

2

c)

3

d)

4

34.

Is the function represented by this graph of an Even or Odd degree? Is the leading coefficient (LC) positive or negative?

a)

Even degree, Positive LC

b)

Odd Degree, Positive LC

c)

Even degree, Negative LC

d)

Odd degree, Negative LC

35.

What is the y-intercept of the graph of 3x+4y=24

a)

-6

b)

6

c)

15

d)

-15

36.

Find the slope.

a)

9/5

b)

5/9

c)

-9/5

d)

-5/9

Algebra 2 Final Review

Total questions: 36

Worksheet time: 2hrs 48mins

Similar Resources on Wayground