Free Printable KA Adv Algebra Semester 1 Review

1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

3.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

4.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

5.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

6.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

7.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

8.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

9.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

10.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

11.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

12.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

13.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

14.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

15.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

16.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

17.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

18.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

19.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

20.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

21.

Simplify:

a)

2√12

b)

4√12

c)

4√3

d)

16√3

22.

Simplify: √28

a)

7√2

b)

2√7

c)

4√7

d)

2√14

23.

Simplify:

a)

A

b)

B

c)

C

d)

D

24.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

25.

Given f(x) =
2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

26.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

27.

What is f(8)?

a)

8

b)

0

c)

3

d)

-2

28.

Is this a function?

a)

Yes

b)

No

29.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

30.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

31.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

32.

The graph of a relation is shown at the right. Is this relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

33.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

34.

Find f(2)

a)

5

b)

4

c)

3

d)

0

35.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

36.

Graph the inverse

a)

b)

c)

d)

37.

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

38.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

39.

a)

Inverse Functions

b)

Not Inverse Functions

40.

What are the values of a, b, and c in the quadratic equation 3x² - 10 = -4x

a)

a = 3x² b = -10 c = -4x

b)

a = 3 b = -10 c = -4

c)

a = 3 b = -4 c = -10

d)

a = 3 b = 4 c = -10

41.

What is the positive solution to the equation 0 = (1/5)x² - 5?

a)

(1/5)

b)

1

c)

5

d)

-5

42.

What are the solutions to 5( x - 3 )² = 45?

a)

x = 6 and x = 0

b)

x = -3 and x = 45

c)

x = -6.71 and x = 6.71

d)

x = -3 and x = 3

43.

What are the solutions for the equation 2x² + 16x = 18

a)

x = -1 and x = 9

b)

x = -9 and x = 1

c)

x = 2 and x= 18

d)

x = 2 and x = 16

44.

How long was the rocket in the air?

a)

3 seconds

b)

5 seconds

c)

9 seconds

d)

6 seconds

45.

Factor

k^2+7k+10

.

a)

$(k+2)(k-5)$

b)

$(k+2)(k+5)$

c)

$(k+10)(k+4)$

d)

$(k-2)(k-5)$

46.

To factor

x^2+8x+15

, find two factors of 15 whose sum is _____.

a)

1

b)

2

c)

8

d)

15

47.

Factor

x^2-10x+16

a)

$(x+12)(x-2)$

b)

$(x-4)(x-6)$

c)

$(x+10)(x-2)$

d)

$(x-2)(x-8)$

48.

What are the zeros of (2x+5)(x-6)=?

a)

-6, 5/2

b)

-5/2, 6

c)

6, 2

d)

5, -6

49.

Find the x-intercepts of the equation f(x)=x²+2x-24

a)

(4,0) (-6,0)

b)

(0,-24)

c)

(6,0) (-4,0)

d)

(5,0) (0,0)

50.

What are the 2 factors of...

x² - 25

a)

(x + 5) (x - 5)

b)

(x - 5)²

c)

(x + 5)²

d)

x + 5(x - 5)

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

55.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

56.

$f\left(x\right)=3x$
Find $f^{-1}\left(x\right)$

a)

$\frac{x}{3}$

b)

$\frac{3}{x}$

c)

$0.3x$

d)

$x\times3$

KA Adv Algebra Semester 1 Review

Total questions: 56

Worksheet time: 4hrs 37mins

Similar Resources on Wayground