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NC math 2 Spring 2020 Review 2

Total questions: 48

Worksheet time: 2hrs 51mins

Name
Class
Date
1.
What is the probability of spinning the spinner and landing on 7
a)
6/8
b)
1/8
c)
7/8
d)
8/8
2.
What is the probability of picking a red marble from the bag?
a)
4/10
b)
1/10
c)
3/10
3.

Which expression is equivalent to  25−2325^{-\frac{2}{3}}  

a)
b)
c)
d)
4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
5.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
6.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
7.

When two sides of a triangle and its included angle are congruent to the corresponding sides and included angle of another triangle, the triangles are said to be congruent by:

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

What does it mean for two shapes to be similar?

a)

Same shape, but different size.

b)

Same size and same shape.

c)

Their angles add up to 180o.

d)

They are congruent.

9.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
10.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
11.
A line that passes through parallel lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
12.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

13.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
14.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
15.
Find the value of the base angle. 
a)
30
b)
120
c)
60
d)
180
16.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
17.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
18.
What is the measurement  of the missing angle?
a)
90°
b)
58°
c)
57°
d)
180°
19.

State the postulate that proves these triangles are similar.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not similar

20.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
21.
Pablo throws a ball with a path of
h = -5(t - 2)2.
Maria throws a ball with a path of
h = -5(t - 2)2 + 10.
Which description is reasonable for the difference in the two equations?
a)
Maria throws the ball 10 times harder than Pablo does.
b)
Maria starts her ball at a height 10 feet higher than Pablo does.
c)
Pablo throws the ball 10 times harder than Maria does.
d)
Pablo starts his ball at a height 10 feet higher than Maria does.
22.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
23.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
24.
a)

2a2b6

b)

12a2b6\frac{1}{2a^2b^6}

c)

b62a2\frac{b^6}{2a^2}

d)

2b6a2\frac{2b^6}{a^2}

25.
Write each expression in exponential form. 
a)
A
b)
B
c)
C
d)
D
26.

Simplify . Your answer should contain only positive exponents.yx13⋅xy32yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}  

a)

 x43y52x^{\frac{4}{3}}y^{\frac{5}{2}}  

b)

 x23y12x^{\frac{2}{3}}y^{\frac{1}{2}}  

c)

 x13y32x^{\frac{1}{3}}y^{\frac{3}{2}}  

d)

 x23y43x^{\frac{2}{3}}y^{\frac{4}{3}}  

27.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
28.
What form is the equation in?
y = 2x2-8x+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
29.
What piece of information does c identify in the following equation?
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
30.
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)
31.
What is the Greatest Common Factor of the following polynomial?
12t3 + 30t2 + 48t
a)
12t
b)
6t3
c)
6t
d)
12t3
32.
a)
A
b)
B
c)
C
d)
D
33.
a)

10

b)

8

c)

16

d)

4

34.
Solve
a)
102
b)
12
c)
98
d)
7
35.

The graphs of a quadratic and linear equation are shown in the coordinate plane. Which statement BEST describes the solutions to this system?

a)

There are 2 real solutions to this system.

b)

There are no real solutions to this system

c)

There is only one real solution to this system

d)

There are infinitely many real solutions to this system.

36.

The height, in feet, of a flying disc after t seconds is modeled by the equation given above. What does the 3 in the equation represent?

a)

the velocity of the disc

b)

the initial height of the disc

c)

the time it takes for the disc to hit the ground

d)

the time it takes for the disc to reach maximum height

37.
x2 - 25
a)
( x + 5 ) ( x - 5 ) 
b)
( x - 5 ) ( x - 5 ) 
c)
( x + 5 ) ( x + 5 ) 
d)
Prime
38.
9x2 - 49y6
a)
( 3x + 7y3) (3x + 7y3) 
b)
( 3x - 7y3) (3x + 7y3) 
c)
( 3x - 7y3) (3x - 7y3) 
d)
Prime
39.
Factor the perfect square trinomial:
x2 + 16x + 64
a)
(x+8)2
b)
(x-8)2
c)
(x-4)2
d)
(x+4)2
40.

x2 + 10x + ____

a)

5

b)

10

c)

20

d)

25

41.

y2 - 12y + ____

a)

36

b)

4

c)

6

d)

12

42.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

43.
What is the equation of the function graphed?
a)
f(x) = (x-1)1/2 + 2
b)
f(x) = 3(x-1)1/2
c)
f(x) = 3(x+1)1/2
d)
f(x) = 3(x+1)1/2 + 2
44.

What is the domain of this function?

 y=x−1−3y=\sqrt{x-1}-3  

a)

{x ∣ x ≥ 1}

b)

{x ∣ x ≤ 1}

c)

{x ∣ x ≥ -3}

d)

{x ∣ x ≥ -1}

45.

What is the range of this function?

 y=x−2+4y=\sqrt{x-2}+4  

a)

{f(x) ∣ f(x) ≥ -2}

b)

{f(x) ∣ f(x) ≥ 2}

c)

{f(x) ∣ f(x) ≥ 4}

d)

{f(x) ∣ f(x) ≥ -4}

46.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
47.
On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?
a)
27 cm
b)
675 cm
c)
529 cm
d)
32 cm
48.

The time it takes to drive to Dallas is inversely proportional to your driving speed. It takes 3 hours to get to Dallas if you drive 60 mph. How long will the trip take if you drive 72 mph?

a)

2.5 hours

b)

2.6 hours

c)

2.8 hours

d)

3.5 hours

e)

3.6 hours

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