Free Printable Algebra 2 Sem 1 Final

1.

Which of the following points is the y-intercept of the graph?

a)

(0, 3)

b)

(0, -3)

c)

(-1.5, 0)

d)

(3, 0)

2.

What is the Range of this linear function?

a)

-6 ≤ y ≤ 6

b)

0 ≤ y ≤ 6

c)

No Solution

d)

4 ≤ y ≤ 3

3.

Over what interval is this function increasing?

a)

x < -3

b)

-3 < x < 4

c)

x > 4

d)

-5

4.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

5.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = x²

c)

f(x) =√(x)

d)

f(x) =∛(x)

6.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

7.

Which of the following transformations are present?
-2f(x - 1) + 2

a)

Shift 1 unit down

b)

Shift 1 unit up

c)

Shift 1 unit left

d)

Shift 1 unit right

8.

Which equation describes the transformation of shifting f(x)=x³ three units left?

a)

x³ + 3

b)

x³ - 3

c)

(x + 3)³

d)

(x - 3)³

9.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 3

b)

f(x) = (x - 2)² - 3

c)

f(x) = |x + 2| - 3

d)

f(x) = |x - 2| - 3

10.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

11.

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

a)

7

b)

97

c)

13

d)

6

12.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

13.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

14.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

15.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

16.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

17.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

18.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

19.

Solve.

|4v + 12| ≥ 6

a)

v ≤ -4.5 or v ≥ -1.5

b)

-4.5 ≤ v ≤ -1.4

c)

-1.5 ≤ v ≤ 4.5

d)

v ≤ -1.5 or v ≥ 4.5

20.

Solve.

|x + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

21.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

22.

Which transformation describes the change from black to blue?

a)

-½ f(x - 2) + 5

b)

-f(x - 2) + 5

c)

-f(x + 5) + 2

d)

-f(x - 5) + 2

23.

The equation of the red piece is y = 1. What is the domain of the red piece?

a)

x > –1

b)

x < –1

c)

x < –1 or x > 1

d)

–1 < x < 1

24.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

25.

If the matrices can be multiplied, what are the dimensions of the product?

a)

Matrix multiplication is not possible.

b)

3 x 1

c)

1 x 2

d)

3 x 2

26.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

27.

Add.

a)

No Sum Exists

b)

c)

d)

28.

Evaluate the determinant of the matrix.

a)

-21

b)

0

c)

9

d)

12

29.

What size is this matrix?

a)

2x2

b)

2x3

c)

3x2

d)

1x6

30.

Are these matrices inverses of each other?

a)

Yes

b)

No

c)

Unable to Determine

31.

A _____ is a rectangular arrangement of numbers.

a)

matrix

b)

dimension

c)

coefficient

d)

system

32.

What is the value of x in this system?

a)

3

b)

-1

c)

7

d)

2

33.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

34.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

35.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

36.

What is the vertex of the graph?

a)

(2,4)

b)

(-2,-4)

c)

(4,2)

d)

(-4,-2)

37.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

38.

Find the y-intercept of
f(x) = 2x²-2x + 1

a)

2

b)

-2

c)

1

d)

-1

39.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

40.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

41.

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

x^2+28x+c

a)

28

b)

14

c)

196

d)

56

42.

Write an equation of the parabola with the given characteristics:

Opens Up

Vertex: (-2, 4)

1/16 unit away from the directrix

a)

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

b)

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

c)

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

d)

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

43.

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

a)

y\ =\ \frac{1}{24}\left(x+3\right)^2+1

b)

$y\ =\ \frac{1}{24}\left(x-3\right)^2-1$

c)

$y\ =\ -\frac{1}{24}\left(x+3\right)^2-1$

d)

$y\ =\ -\frac{1}{24}\left(x-3\right)^2-1$

44.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

45.

Calculate:
(4 − 7i) − (-3 + 6i)

a)

7 − 13i

b)

7 − i

c)

1 − 13i

d)

1 − i

46.

Simplify √-23

a)

-√23

b)

23i

c)

23

d)

i√23

47.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

48.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

Algebra 2 Sem 1 Final

Total questions: 48

Worksheet time: 3hrs 58mins

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