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Practices Test

Total questions: 79

Worksheet time: 10hrs 31mins

Name
Class
Date
1.
What type of number is π ?
a)
Rational
b)
Irrational
2.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
3.

5123\sqrt[3]{512}  

a)
8
b)
9
c)
10
d)
11
4.
a)
M
b)
N
c)
O
d)
P
5.

Could the following side lengths make a right triangle?

20, 25, 15

a)

Yes

b)

No

6.

A 12 ft ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
7.

Find the distance between points A and B.

a)

5

b)

6

c)

10

d)

14

8.
Find the value of x.
a)
38°
b)
52°
c)
142°
d)
152°
9.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
10.
Triangle ABC is going to be translated. How is ABC being translated if the rule (x,y) --> (x+3, y-2) is used?
a)
3 up and 2 left
b)
3 right and 2 down
c)
3 left and 2 up
d)
3 right and 2 up 
11.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
12.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
13.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
14.

Identify the sequences of transformation that maps the blue figure to the red figure to the brown figure.

a)

reflection then translation

b)

translation then reflection

c)

rotation then translation

d)

translation then rotation

15.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
16.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1 
17.
Solve the equation 4x + 5 = 3x + 9
a)
2
b)
4
c)
7
d)
14
18.
Solve the equation 2(3p - 6) = 3p - 9
a)
-9
b)
-3
c)
1
d)
3
19.
How many solutions does this equation have?  3x -20 = 3x + 2
a)
One Solution
b)
No Solution
c)
Infinite Solutions
20.
How many solutions does this equation have?  3x + 2 = 3x + 2
a)
One Solution
b)
No Solution
c)
Infinite Solutions
21.
How many solutions does this equation have?  3x + 2 = 4x + 6
a)
One Solution
b)
No Solution
c)
Infinite Solutions
22.
Given that the slope is  2/3 and the y intercept is -3 what is the equation of the line?
a)
y = 2/3x - 3
b)
y = 2/3x + 3
c)
y = -2/3x - 3
d)
y = -2/3x + 3
23.

Which graph represents y=−32x+4y=-\frac{3}{2}x+4  

a)
b)
c)
d)
24.
Which of these is a solution to the equation
y = 2x-7?
a)
(2,-3)
b)
(0, 7)
25.

At the beginning of the summer, Jenna had $141.  To earn money, she is working part time at the local community center for the summer.  She will earn $32 per day.  If x represents the number of days she works, which of the following equations represents how much money she will have in total?

a)
y = 141-32x
b)
y = x + 141
c)
y = 32x + 141
d)
y = 141x + 32
26.
Kiki wants to rent a bounce house for her daughter's party.  The cost, y, to rent the bounce house for the number of hours, x, is shown in the table.  The initial set up fee for the bounce house is which of the following?
a)
$65
b)
$55
c)
$130
d)
$185
27.
Kiki wants to rent a bounce house for her daughter's party.  The cost, y, to rent the bounce house for the number of hours, x, is shown in the table.  The rate per hour for the bounce house is which of the following?
a)
$65
b)
$55
c)
$130
d)
$185
28.
Several years ago, Conner bought an antique clock.  Since then, it has increased in value.  If x represents the number of years he has owned the clock, and y represents the value of the clock (in dollars), which of the following situations in represented by the graph?
a)
Dave bought the clock for $300 and each year the value increased by $125.  
b)
Dave bought the clock for $300 and each year the value increased by $50.  
c)
Dave bought the clock for $300 and each year the value increased by $200.
d)
Dave bought the clock for $300 and each year the value increased by $100.
29.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
30.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
31.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
32.

Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

33.
a)
b)
c)
d)
34.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

35.
The table shows the weight in pounds of objects on earth compared to objects on the moon.  If an object on earth weighs 42 lbs, what is its weight on the moon?
a)
7 lbs
b)
12 lbs
c)
84 lbs
d)
252 lbs
36.

How much money does Miguel save per month?

a)

$15/month

b)

$30/month

c)

$8/month

37.
What type of association does this graph show?
a)
Positive
b)
negative
c)
none
d)
all of the above
38.
Based on the graph, if Joe earned $400, how many hours did he work?
a)
25 hours
b)
35 hours
c)
45 hours
d)
15 hours
39.
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 
a)
65
b)
92
c)
70
d)
76
40.
Which sentence describes the relationship shown on this scatter plot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
41.

The test results of 66 students were compared to whether the students completed a provided review sheet.


Is there an association between completing the review sheet and passing the test?

a)

Yes, it was more likely that students who failed, completed the review sheet

b)

Yes, it was more likely that students who passed, completed the review sheet

c)

No, there is no association

42.

Freshmen girls and boys were surveyed to chose their favorite subject. The results are shown in the two-way relative frequency table.


How many girls participated in the survey?

a)

1.00

b)

50

c)

150

d)

315

43.

According to the table, what is the relative frequency of students ages 14 - 17 who skip breakfast?

a)

About 67%

b)

About 35%

c)

About 15%

d)

About 60%

44.
Find the measure of each angle indicated. 
a)
50°
b)
35°
c)
100°
d)
55°
45.
Solve for x.
a)
16
b)
11
c)
50
d)
6
46.
35 ⋅ 37
a)
335
b)
312
c)
3-2
d)
32
47.
(52)3
a)
56
b)
55
c)
57
d)
58
48.
7-2
a)
49
b)
10/49
c)
-49
d)
1/49
49.

y12y2\frac{y^{12}}{y^2}  

a)
y14
b)
y10
c)
114
d)
110
50.
7⁰
a)
1
b)
7
c)
0
d)
-7
51.

Write in standard form: 3.97  x  10-2

a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
52.
Write 7,000,000 in scientific notation.
a)
0.7 x 107
b)
7 x 10-6
c)
7 x 106
d)
70 x 105
53.

What type of number has two or more factors?

(a)  

54.

What is a positive counting number starting with 0?

a)

Rational Number

b)

Integer

c)

Natural Number

d)

Positive Number

e)

Whole Number

55.

Graph the equation

y=43x+1y=\frac{4}{3}x+1

56.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
57.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

58.
Durham and Chapel Hill are 14 miles apart.  Chapel Hill and Raleigh are 28 miles part. Raleigh and Durham are 25 miles part. Do these three cities form a right triangle?
a)
Yes they form a right triangle
b)
No they do not form a right triangle
59.

Click each choice that shows why the sum of the angles XYZ is  180°180\degree  

a)

180°180\degree is the sum of angles a,b,and c.  They are supplementary angles because they form a straight line.

b)

Angles y,b,and z must have a sum of undefined because angles a,b,and c are supplementary and y =a and z=c so angles y,b,and z are also supplementary.

c)

Because angle b is shared by both the straight line and the triangle.

d)

Angle z is equal to angle c because they are alternate interior angles.  Angle a is equal to angle y because they are alternate interior angles

e)

Angle y is equal to angle a because they are alternate interior anlgles

60.
a)

a = 45 b = 50

b)

a = 45 b = 85

c)

a = 50 b = 85

d)

a = 75 b = 75

61.

What is the sum of the interior angles of all triangles?

(a)  

62.

∠5 and ∠6\angle5\ and\ \angle6  are ______ angles

a)

opposite

b)

adjacent

c)

vertical

d)

congruent

e)

supplementary

63.

Which transformation(s) create(s) similar figures?

a)

Dilation

b)

Translation, Reflection, and Rotation

c)

Translation and Reflection

d)

Reflection and Rotation

64.

When talking about figures on a coordinate plane, what does "congruent" mean?

a)

Same shape, same size

b)

Same shape, size changes

c)

Different shape, different size

d)

Same shape, different size

65.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

66.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

67.

What is the rule for the dilation pictured?

a)

(x, y) → (½x, ½y)

b)

(x, y) → (x + 2, y + 2)

c)

(x, y) → (2x, 2y)

d)

(x, y) → (2x, 3y)

68.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

69.

Which panda was heavier when they were born?

a)

Mochi

b)

Kappa

70.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

71.
What transformation is pictured here?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
72.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
73.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
74.
Tell whether each triangle with the given side lengths is a right triangle.
11, 60, 61
a)
Yes
b)
No
75.

Graph the following linear function: y=2x−4y=2x-4

76.

​ ​ (a)   a number finds the product of that number and itself.

Choose from the below words
Squaring
Square Rooting
77.

Combining like terms:

9c−4−13c+69c-4-13c+6

​ (a)  

Choose from the below words

−4c+2-4c+2  

78.

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

79.

An equation is modeled.

What value of x makes the equation true.

x = _____

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