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Math 2 Final Exam Review

Total questions: 51

Worksheet time: 2hrs 48mins

Name
Class
Date
1.

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  

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.

The blue is the parent function. What transformation does the red parabola show?

a)

Stretch

b)

Compression

c)

Reflection and stretch

d)

Reflection and compression

4.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
5.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
6.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
7.
The result of a transformation.
a)
Pre-image
b)
Image
8.
If a Scale Factor is between 0 and 1, then your figure gets...
a)
Smaller
b)
 Bigger
c)
Turned upside-down
d)
Does not change
9.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
d)
Orientation
10.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
11.
Identify the correct statement.
a)
∠1 & ∠2
are vertical angles
b)
∠2 & ∠4
are vertical angles
c)
∠5 & ∠8
are vertical angles
d)
∠1 & ∠5
are vertical angles
12.
Identify the correct statement.
a)
∠1 & ∠8
are alternate interior angles
b)
∠2 & ∠3
are alternate interior angles
c)
∠4 & ∠5
are alternate interior angles
d)
∠7 & ∠4
are alternate interior angles
13.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
14.
Identify the correct statement.
a)
∠J=105°
b)
∠J=75°
c)
∠J=15°
d)
∠J=90°
15.
Angle A and C are...
a)
Supplementary
b)
Congruent
16.

What is the Angle Relationship

a)

Complementary Angles

b)

Supplementary Angles

c)

Corresponding

17.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
18.

Find x, then find the measurement of both angles.

a)

x = 30; both angles measure 118 degrees

b)

x = 30; both angles measure 114 degrees

c)

x = 20; both angles measure 112 degrees

d)

x = 20; both angles measure 110 degrees

19.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
20.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
21.

Factor:

x2 + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

22.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
23.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
24.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
25.

What is the standard form of a quadratic equation?

a)

y=x²

b)

y=ax²+bx+c

c)

y=(x+h)2+k

d)

y= (x+a)(x+b)

26.
Find the product
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
27.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
28.
Which binomials are a difference of squares?
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
a)
I only
b)
III only
c)
III and IV
d)
II, III, and IV
29.
Factor
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
30.
What is the discriminant of 2x2 + 2x + 4?
a)
-28
b)
8
c)
36
d)
28
31.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
32.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 
a)
2 seconds
b)
-2 seconds
c)
-6 seconds
d)
6 seconds
33.
What is the equation for the axis of symmetry of 
f(x)= x2 + 2x + 6
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
34.
Solve:
x2 - 15x = -44
a)
{-5, 8}
b)
{-13, -5}
c)
{-11, 14}
d)
{4, 11}
35.
Factor
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 10)(x + 2)
c)
(x + 8)(x + 3)
d)
(x + 2)(x + 12)
36.
What is the first step when factoring polynomials?
a)
Find the GCF
b)
List all the terms
c)
Make a triangle
d)
Write the answer
37.
Find the vertex. 
y = 3x2 - 12x + 1
a)
(-2, 37)
b)
(2, 1)
c)
(2, -11)
d)
(4, 97)
38.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
39.
Which of the following represents direct variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
40.
If y = 15 when x = 12 find y when x = 32.
a)
40
b)
-40
c)
5
d)
-5
41.
y varies directly with the square of x.  If y=40 when x=4, find y when x = 7
a)
17.5
b)
70
c)
122.5
42.
y varies directly as x, if y=12 when x=5, find y when x=3
a)
36/5
b)
15/12
c)
12/5
d)
12/15
43.
Points (3,10) and (x, 15) represent a direct variation. Find x.
a)
50
b)
5
c)
3.5
d)
4.5
44.
y varies inversely as x, if y = -3 when x = -6, find y when x = 14.
a)
11
b)
-11
c)
9/7
d)
7/9
45.
If y varies inversely as x and y=2 as x = 8, find x when y= -7
a)
1/4
b)
4
c)
16
d)
16/-7
46.
What is the sine of angle C?
a)
7/24
b)
7/25
c)
24/25
d)
25/24
47.
What is the cosine of θ?
a)
15/8
b)
15/17
c)
17/15
d)
8/15
48.
What is the tangent of angle C?
a)
7/25
b)
25/7
c)
7/24
d)
24/7
49.
What is the sine of A?
a)
7√65∕65
b)
7/65
c)
√7/65
d)
√65/7
50.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

51.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

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