Free Printable Math 2 Practice Spring Final

1.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

2.

Are the triangles definitely congruent? If so, by what theorem?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

3.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

4.

What is reason #2?

a)

Vertical angles are congruent.

b)

Consecutive angles are congruent.

c)

Alternate interior angles are congruent.

d)

Definition of Bisect

5.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

6.

What is reason #5?

a)

vertical angles theorem

b)

stuck together and sharing a side theorem

c)

shared side property

d)

reflexive property

7.

What is reason #4?

a)

Same-side interior angles theorem

b)

alternate interior angles theorem

c)

consecutive angles theorem

d)

supplementary angles

8.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

9.

What is the value of x?

a)

960

b)

30.98

c)

43.91

d)

14.24

10.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

11.

What is the value of x?

a)

9.17

b)

98.13

c)

0.11

d)

26.69

12.

What is the value of x?

a)

4.20

b)

7.32

c)

0.14

d)

4.91

13.

What is the value of x?

a)

25

b)

13.23

c)

5.36

d)

625

14.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

15.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

16.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

17.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

18.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

19.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

20.

What is the length of the short leg of this 30-60-90 triangle?

a)

6

b)

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

c)

3

d)

$\frac{6}{\sqrt{2}}$

21.

What percent of people who play an instrument do not play a team sport?

a)

80%

b)

27.2%

c)

40%

d)

90.1%

22.

What percent of people who bought no food purchased water?

a)

14.3%

b)

33.3%

c)

5%

d)

41.1%

23.

The formula x = -b/2a is used to find

a)

the roots

b)

the x-value of the vertex

c)

the y-intercept

d)

the axis of symmetry

24.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

25.

Which of the following equations matches vertex form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

26.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

27.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

28.

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)

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

29.

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

Choose the correct graph of the equation.

a)

b)

c)

d)

30.

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

a)

(-5, 0) and (9, 0)

b)

(5,0) and (-9, 0)

c)

(5, 0) and (9, 0)

d)

(-3, 0) and (5, 0)and (-9, 0)

31.

What are the x-intercepts of the parabola?

y = ¼(x + 2)(x - 6)

a)

(-2, 0) and (6, 0)

b)

(2, 0) and (-6, 0)

c)

(-2, 6)

d)

(¼, 0) and (-2, 0) and (6, 0)

32.

What is the equation of this parabola in it’s factored form?

a)

y=(x-2)(x+3)

b)

y=(x+2)(x-3)

c)

y=(x+2)(x-3)(x-6)

d)

y=(x+3)(x-6)

33.

What is the equation of this parabola in its factored form?

a)

y=(x+1)(x+3)

b)

y=(x-1)(x-3)

c)

y=-(x+1)(x+3)

d)

y=-(x-1)(x-3)

34.

When a parabola opens downward the vertex is

a)

a minimum

b)

a maximum

c)

a vertex

d)

a parabola

35.

What are the zeros of the graph shown above?

a)

2 and 6

b)

4 and 2

c)

6 and 9

d)

5 and 1

36.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

37.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

38.

What is the quadratic formula?

a)

b)

c)

d)

39.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

40.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

41.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

42.

$3x^2-10x+1=0$

Solve by the method of your choice.

a)

$x=\frac{-10\pm\sqrt{88}}{6}$

b)

$x=\frac{-5\pm2\sqrt{22}}{3}$

c)

$x=\frac{10\pm\sqrt{112}}{6}$

d)

$x=\frac{5\pm\sqrt{22}}{3}$

43.

Solve using the Quadratic Formula:

2x²− x − 3 = 0

a)

$x=-\frac{3}{2},\ 1$

b)

$x=\frac{3}{2},\ -1$

c)

$x=-\frac{3}{2},\ -1$

d)

$x=\frac{3}{2},\ 1$

44.

Solve using any form of factoring or Quadratic Formula

x²+ 6x + 9 = 0

a)

x = −3, 3

b)

x = −3

c)

x = 3

d)

No Solution

45.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Find two numbers which add to make 6 and multiply to make -13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

46.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

47.

Choose the correct answers.

a)

A

b)

B

c)

C

d)

D

48.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

49.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

50.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

51.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

52.

To find the area of a regular polygon, we divide it into equal __________

a)

squares

b)

trapezoids

c)

triangles

d)

circles

53.

The formula for finding the area of a triangle is ______

a)

A = $b\ \times h$

b)

A = $\frac{b\ \times\ h}{2}$

c)

A = $\frac{1}{2}$ $\left(b_{1\ }+\ b_2\right)\ h$

d)

A = $S\ ^2$

54.

Find the area of the pentagon

a)

58.12

b)

47.02

c)

76.08

d)

38.04

55.

Find the area of the hexagon

a)

300√3

b)

519.62

c)

600√3

d)

100√2

56.

Find the area of the regular polygon

a)

172.0 in.²

b)

170.0 in.²

c)

17.2 in²

d)

50 in.²

57.

Find the area of the regular polygon.

a)

259.8 m

b)

259.8 m²

c)

259.8 cm

d)

259.8 cm²

58.

a)

428.8 in. ²

b)

400.5 in²

c)

397.7 in²

d)

842.5 in²

Math 2 Practice Spring Final

Total questions: 58

Worksheet time: 5hrs 50mins

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