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Math 2 Mock Final Exam

Total questions: 20

Worksheet time: 1hrs 2mins

Name
Class
Date
1.

Evaluate the function f(x, y) = (y, -x) for the coordinates A(-2, -3), B(0, 4), and C(2, 4).

a)

A'(-3, 2), B'(4, 0), and C'(-4, 2)

b)

A'(-3, 2), B'(4, 0), and C'(4, 2)

c)

A'(-3, 2), B'(4, 0), and C'(-2, 4)

d)

A'(-3, 2), B'(4, 0), and C'(4, -2)

2.

Find the coordinate of G(-2, 4) after it has been reflected across the x-axis, rotated 180 degrees cw, then translated 2 units right.

a)

(0,4)

b)

(4,4)

c)

(-2,-2)

d)

(-2, -6)

3.

Over which interval is the function below increasing or decreasing?
 f(x)=−x+1+5f\left(x\right)=-\sqrt{x+1}+5  

a)

Increasing; x≤−1x\le-1  

b)

Decreasing; x≥5x\ge5  

c)

Decreasing; x≥1x\ge1  

d)

Decreasing; x≥−1x\ge-1  

4.

What geometric form do rotations move points along?

a)

Rays

b)

Parallel Lines

c)

Perpendicular Lines

d)

Circular Arcs

5.

Which is TRUE about the transformation from rectangle PQRS to rectangle P'Q'R'S'?

a)

It preserves rigid motion and has a scale factor of 3.

b)

It does not preserve rigid motion and has a scale factor of 3.

c)

It preserves rigid motion and has a scale factor of 1/3.

d)

It does not preserve rigid motion and has a scale factor of 1/3.

6.

Rewrite into rational exponent form.

a)

44/3

b)

43/4

c)

24/3

d)

23/4

7.

Create a square root function that is vertically compressed by 1/2 and shifted 3 units left.

a)

y=12x+3y=\frac{1}{2}\sqrt{x+3}

b)

y=2x+3y=2\sqrt{x+3}

c)

y=12x−3y=\frac{1}{2}\sqrt{x-3}

d)

y=2x−3y=2\sqrt{x-3}

8.

Which statement is true about the quadratic functions g(x), shown in the table, and the function f(x)?

 f(x)=(x−5)2+4f\left(x\right)=\left(x-5\right)^2+4  

a)

They have the same vertex

b)

They share a zero in common

c)

They are both minimums

d)

They have the same y-intercepts

9.

Which of the following is a solution for the following system:
 y=2x+5y=2\sqrt{x+5} 
 y=4(x+3)2−2y=4\left(x+3\right)^2-2  

a)

x = -5

b)

x = -4

c)

x = 2

d)

x = 5

10.

Simplify:  5−245\sqrt{-24}  

a)

 4i64i\sqrt{6}  

b)

 10i610i\sqrt{6}  

c)

 9i69i\sqrt{6}  

d)

 30i30i  

11.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t2 +84t + 100 models the height, h, of the fireworks at any given time, t. What is the max height of the fireworks?

a)

2.625

b)

6.25

c)

100

d)

210.25

12.

Find the solutions to:

 x2+4x+3=0x^2+4x+3=0  

a)

x = 1, 3x\ =\ 1,\ 3

b)

x = 6, −2x\ =\ 6,\ -2

c)

x = −1, −3x\ =\ -1,\ -3

d)

x = −4, −3x\ =\ -4,\ -3

13.

Triangle DOG is an isosceles triangle where  DO\cong OG . The measure of side DO is 3x - 5. The measure of OG is 19 - x and the measure of GD is 2x. Find the perimeter of triangle DOG. 

a)

6

b)

13

c)

26

d)

38

14.

Find the measure of angle A.

a)

-10

b)

65

c)

115

d)

135

15.

The measure of two opposite interior angles of a triangle are 6x + 7 and 83°. The exterior angle of the triangle measures 15x. Solve for the measure of the exterior angle.

a)

150°

b)

67°

c)

54°

d)

57°

16.

Which of the following is true?

a)

cos⁡(B)=2425\cos\left(B\right)=\frac{24}{25}

b)

tan⁡(B) =724\tan\left(B\right)\ =\frac{7}{24}

c)

sin⁡(A)=2425\sin\left(A\right)=\frac{24}{25}

d)

cos⁡(B)=725\cos\left(B\right)=\frac{7}{25}

17.

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

a)

9.4°

b)

55.2°

c)

20.15°

d)

19.4°

18.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

19.

What is the value of x? Round to the nearest tenth.

a)

16.4

b)

12.2

c)

17.6

d)

24.5

20.

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

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft