Free Printable Alg 2 Unit 4 Test Review

1.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

2.

What are the x-intercepts of the function?

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

a)

x=4 and x=2

b)

x=-4 and x = -2

c)

x = 4 and x= -2

d)

x = -4 and x = 2

3.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

4.

What is the range?

a)

( - $\infty$ , $\infty$ )

b)

[-6, 0]

c)

( - $\infty$ , -2]

d)

[-2, $\infty$ )

5.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

6.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

7.

What is the vertex of the parabola: y = 2(x-3)²+ 4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

8.

$f\left(x\right)=-\left(x-4\right)^2+1$ Choose the correct graph for the given equation.

a)

b)

c)

d)

9.

The parabola y = 3(x + 1)² + 3 has a vertex of

a)

(3, 3)

b)

(1, 3)

c)

( - 1, 3)

d)

(3, -1)

10.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

11.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

12.

Factor:
25x²- 100y²

a)

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

b)

( 5x - 10y)²

c)

Prime

d)

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

13.

3v² - 8v + 5

a)

(3v + 5)(v - 1)

b)

(3v - 5)(v + 1)

c)

(3v - 5)(v - 1)

d)

(3v + 5)(v + 1)

14.

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

15.

x²+ 4x - 32 = 0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

d)

x = -2, 16

16.

Solve by factoring: x² = 9x - 20

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

17.

What are the solutions to $x^2+16x=8$ ?

a)

$x=8\pm6\sqrt[]{2}$

b)

$x=-16\pm2\sqrt[]{14}$

c)

$x=-8\pm6\sqrt[]{2}$

d)

$x=16\pm2\sqrt[]{14}$

18.

solve: (2+3i)+(6-5i)

a)

8+8i

b)

12-15i

c)

8-2i

d)

23+8i

19.

Solve: (-4+11i)(-5-8i)

a)

$20-23i-88i^2$

b)

108-23i

c)

23i-108

d)

68-23i

20.

a)

10

b)

-10

c)

10i

d)

-10i

21.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

22.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

23.

Simplify the power of "i"

$i\ ^{49}$

a)

$1$

b)

$i$

c)

$-i$

d)

$-1$

24.

Simplify the power of "i"

$i\ ^{102}$

a)

$1$

b)

$-1$

c)

$i$

d)

$-i$

25.

$\frac{10i}{-10-9i}$

Simplify the expression

a)

$-\frac{10i}{19}$

b)

$\frac{-16i-18}{29}$

c)

$\frac{-100i-90}{181}$

d)

$\frac{-8i-6}{15}$

26.

$\frac{7-3i}{4-6i}$

Simplify the expression

a)

$\frac{7-3i}{2}$

b)

$\frac{10+15i}{26}$

c)

$\frac{21+12i}{26}$

d)

$\frac{23+15i}{26}$

27.

(5-i)(5-i)

a)

15-8i

b)

36

c)

24+10i

d)

24-10i

28.

Question 14:

Find the zeros.

$x^2+4x=-20$

Show your work on paper. Be sure to clearly label the problem and write legibly.

a)

$\left\{2,-6\right\}$

b)

$\left\{2+4i,\ 2-4i\right\}$

c)

$\left\{2+2\ \sqrt[]{5},\ 2-2\ \sqrt[]{5}\right\}$

d)

$\left\{-2+4i,\ -2-4i\right\}$

29.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

d)

No solution

30.

Solve equation by Using Square Roots Method:

$x^2-1=39$

a)

$x=-2\sqrt[]{10}\ ,\ 2\sqrt[]{10}$

b)

$x=-\sqrt[]{38},\ \sqrt[]{38}$

c)

$x=-\sqrt[]{40},\ \sqrt[]{40}$

d)

$x=-4\sqrt[]{10},\ 4\sqrt[]{}10$

31.

Find the value of "c" that completes the square.

x_{ }^2+8x+c

a)

-4

b)

4

c)

8

d)

16

32.

Solve. x² + 4x - 16 = 0

a)

b)

c)

d)

33.

Does the following graph have a maximum or minimum?

a)

Maximum

b)

Minimum

c)

Both

d)

Neither

34.

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

a)

x≥3

b)

x≤3

c)

All real numbers

d)

-1≤x≤5

35.

Identify the domain and range of the function.

a)

Domain: (-6, 2)

Range: (-3, 5)

b)

Domain: All real number

Range: [-3,5]

c)

Domain: All real numbers

Range: (-∞ , 3]

d)

Domain: All real numbers

Range: [-3, ∞)

36.

What is the range of the function?

*Hint: Range is all of the y-values included in the function.

a)

$\left(-\infty,\ 3\right]$

b)

$\left[-3,\ \infty\right)$

c)

All real numbers

d)

(-6, 3)

37.

Describe the end behavior of the graph.

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→0

d)

x →∞,y→∞ and x→⁻∞, y→⁻∞

38.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

39.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

Alg 2 Unit 4 Test Review

Total questions: 39

Worksheet time: 2hrs 35mins

Similar Resources on Wayground