Free Printable Practice Final Math 2 Exam

1.

Which of the following transformation will map the regular pentagon onto itself?

a)

x axis reflection

b)

y axis reflection

c)

90 degree rotation

d)

180 degree rotation

2.

Which of the following transformation will map the trapezoid onto itself?

a)

x axis reflection

b)

reflection across green line

c)

rotation 90 degrees about (2,-1)

d)

reflection across the blue line

3.

which transformation will map the regular octagon onto itself?

a)

30 degree rotation about the center

b)

45 degree rotation about the center

c)

120 degree rotation about the center

d)

225 degree rotation about the center

e)

270 degree rotation about the center

4.

What is the sequence of transformations for the image given?

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

5.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

6.

Where is the function increasing?

a)

y≤1

b)

y≥1

c)

y≥-2

d)

y≤-2

7.

What is the angle of rotational symmetry when the order is 10?

a)

18°

b)

36°

c)

45°

d)

72°

8.

Which of the following describes the sequence of transformations shown?

a)

Reflection followed by a rotation.

b)

Rotation followed by a translation.

c)

Reflection across the x-axis followed by a reflection across the y-axis.

d)

Translation followed by a rotation.

9.

a)

A

b)

B

c)

C

d)

D

10.

What is the standard form the function

f\left(x\right)=\ -2\left(x-2\right)^2+3

?

a)

$f\left(x\right)=\ -2x^2+8x\ -5$

b)

$f\left(x\right)=\ 2x^2+8x\ -5$

c)

$f\left(x\right)=\ -2x^2-8x\ +5$

d)

$f\left(x\right)=\ 2x^2-8x\ +5$

11.

The height of an item falling can be modeled by h_t = -16t² + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a cup at a height of 18.9 feet, how long will it take the item to hit the ground?

a)

2.09 seconds

b)

1.09 seconds

c)

1.19 seconds

d)

0.09 seconds

12.

The recursive equation for this function is

a)

f(1) = 3

f(n) = f(n - 1) * 4

b)

f(0) = 3

f(n) = f(n - 1) * 4

c)

f(0) = 4

f(n) = f(n - 1) * 3

d)

f(1) = 3
f(n) = f(n - 1) + 9

13.

The recursive equation for this function is

a)

f(1) = 3

f(n) = f(n - 1) * 4

b)

f(0) = 3

f(n) = f(n - 1) * 4

c)

f(0) = 4

f(n) = f(n - 1) * 3

d)

f(1) = 3
f(n) = f(n - 1) + 9

14.

What function best models the data in the table?

a)

Linear

b)

Exponential

c)

Quadratic

15.

Question 1a. Find the sum of the interior angles for the polygon.

a)

$108\degree$

b)

$180\degree$

c)

$360\degree$

d)

$540\degree$

16.

Find $m\angle2.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

17.

What is the "statement" for step 3 of the proof?

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

18.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

19.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

20.

Re-write $\left(5xy\right)^{-\frac{1}{3}}$ in radical form.

a)

$\ ^3\sqrt{5xy}$

b)

$\frac{1}{\ ^3\sqrt{5xy}}$

c)

$\frac{1}{\left(5xy\right)^3}$

d)

$\frac{5}{\ ^3\sqrt{xy}}$

21.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

22.

What is the SUM of the angle measures in a hexagon (6 sides)?

a)

720°

b)

1080°

c)

600°

d)

540°

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

Factor Trinomial Completely:
2x² + 12x + 16

a)

2(x + 8)(x + 6)

b)

(2x + 4)(2x + 2)

c)

2(x + 2)(x + 4)

d)

2(x² + 6x + 8)

26.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

27.

Match the description to its equation.
Reflected over the x-axis
Stretched by a factor of 2

a)

A

b)

B

c)

C

d)

D

28.

Solve for x:

(x + 6)²= 49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

29.

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

a)

14

b)

10

c)

2

d)

-14

30.

Where are the asymptotes in this equation?

a)

x=0 y=0

b)

x=2 y=5

c)

x=-2 y=-5

d)

x=-2 y=5

31.

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

a)

14

b)

10

c)

2

d)

-14

32.

Solve.

\frac{-16}{x}=x+8

a)

x=4

b)

x=-4

c)

x=-4 and x=4

d)

no solution

33.

$x-7=\frac{18}{x}$

a)

x=-2

b)

x=9

c)

x=-2 and x=9

d)

no solution

34.

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

a)

b)

c)

d)

35.

Find x

a)

10.5

b)

5

c)

8.5

d)

6

36.

Find the value of x.

a)

10

b)

5

c)

9

d)

None of these

37.

Which proportion could be used to prove that $HJ\parallel KL$ ?

a)

$\frac{KL}{HJ}=\frac{KG}{LG}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

38.

Find AB. Hint: Solve for x and then find AB.

Write down your work.

a)

16

b)

4

c)

8

d)

48

39.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

40.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

41.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

42.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

43.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

44.

a)

x = 2

b)

x = 4

c)

x = 7

d)

x = 9

45.

Solve.

a)

no solution

b)

6

c)

3

d)

4

Practice Final Math 2 Exam

Total questions: 45

Worksheet time: 4hrs 45mins

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