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PA Practice SOL Test

Total questions: 60

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

1) Simplify the expression shown.

a)

2

b)

12

c)

18

d)

36

2.

2) What is the value of the expression shown?

a)

5.5

b)

20.5

c)

22

d)

49

3.

3) What is the value of the expression given?

a)

-3

b)

-1

c)

17

d)

19

4.

5) Which is equivalent to ?

a)

225 1/3

b)

4/3

c)

-4/3

d)

-225 1/3

5.

11) Which orders the numbers in ascending order?

a)
b)
c)
d)
6.

Which set of numbers are listed in descending order?

a)

-66%, -0.45, -⅓, 1.8

b)

-66%, -⅓, -0.45, 1.8

c)

1.8, -66%, -0.45, -⅓

d)

1.8, -⅓, -0.45, -66%

7.
Order the following from least to greatest.  
1/2,   2%,    2.1 x 10-2,      0.20
a)
2%, 2.1 x 10-2, 1/2, 0.20
b)
2%, 2.1 x 10-2, 0.20, 1/2
c)
0.20, 1/2, 2%, 2.1 x 10-2
d)
2.1 x 10-2, 1/2, 0.20, 2%
8.
a)
M
b)
N
c)
O
d)
P
9.
A repeating decimal or decimal that terminates is called a 
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
10.

28) The circumference, C, of a circle can be found using the formula C=πd, where d is the diameter of the circle. The circumference of a circle can also be described as an -

a)

Natural number

b)

Integer

c)

Rational number

d)

Irrational number

11.

29) Which is true? The sum of an irrational number and a rational number is -

a)

Rational

b)

Irrational

12.

30) Which is true? The product of a nonzero rational number and an irrational number is -

a)

Rational

b)

Irrational

13.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
14.
Naiyah and Cole want to leave a 20% tip for their waiter. How much should they leave for the tip if their total is $70.00?
a)
$3.50
b)
$1.40
c)
$14.00
d)
$35.00
15.
Henry received a 25% discount on the purchase of a $240 bicycle. What was the amount of the discount Henry received?
a)
$25
b)
$60
c)
$180
d)
$215
16.
A pair of jeans at a local retail store has a cost of $35.00. If the sales tax is 5%, what is the total amount paid for the jeans?
a)
$36.75
b)
$33.33
c)
$33.25
d)
$1.75
17.
Last year the enrollment at Clark Middle School was 465 students. This year the enrollment is 525. What is the percent of increase?
a)
113%
b)
100%
c)
13%
d)
87%
18.

Which of the following numbers is a perfect square?

a)

36

b)

28

c)

22

d)

14

19.

Between which numbers on the number line does the square root of 23?

a)

-5 and -4

b)

-2 and -1

c)

2 and 3

d)

4 and 5

20.
The √200 lies between which two consecutive whole number?
a)
13 and 14
b)
15 and 16
c)
14 and 15
d)
11 and 12
21.
The square root of 8 lies between what two consecutive whole numbers?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
60 and 70
22.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
23.
What is the value of x?
a)
12
b)
7
c)
6
d)
9
24.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
25.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
26.
A baseball diamond is a perfect square.  The distance between all of the bases is 90 ft.  How far is it from home-plate to 2nd base?
a)
90 ft
b)
127.3 ft
c)
180 ft.
d)
8100 ft.
27.
What is the area of the figure?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
28.
Find the Area of the figure:
a)
276 sq cm
b)
114 sq cm
c)
247 sq cm
d)
390 sq cm
29.
Find the perimeter of the figure.
a)
32 mi
b)
33 mi
c)
36 mi
d)
35 mi
30.
What is the perimeter of the semi-circle?
a)
11 yd
b)
17.27 yd
c)
34.54 yd
d)
28.27 yd
31.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
32.
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)
33.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
34.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
35.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
36.
If point W has been dilated by a scale factor of 5 what is coordinate of it's image? 
a)
(0, -3)
b)
(0, -10)
c)
(0, -15
d)
(0, -20)
37.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
38.
Which property justifies the second step?
          4x + 8 = 0
               - 8    - 8
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Identity Property of Addition
d)
Commutative Property of Addition
39.
Which property justifies the third step?
         2 - 7 = 3x + 7 - 7
          2 - 7 = 3x + 0
          2 - 7 = 3x
a)
Inverse Property of Addition
b)
Subtraction Property of Equality
c)
Commutative Property of Addition
d)
Identity Property of Addition
40.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
41.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
42.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
43.
3 < -5n + 2n
a)
n < 1
b)
n > 1
c)
n < -1
d)
n > -1
44.
Solve:
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
45.

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.

t = the number of treats

s = the number of students

Which of the variables is independent?

a)

s

b)

t

46.
Dilcia wants to know how drinking milk affects how tall a Monica grows. Which is the independent variable?
a)
Monica's growth
b)
drinking milk
47.
Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase

Which of the variables is dependent?
a)
m
b)
b
48.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
49.
a)
Function
b)
Not a Function
50.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
51.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
52.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
53.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
54.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
55.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
56.
What type of relationship does this graph have?
a)
Positive
b)
Negative
c)
No Relationship
d)
Constant 
57.
11. What percentage of the data is between 90 and 140?
a)
25 %
b)
50%
c)
75%
d)
100%
58.
What percent of the data is between 25 and 30 on the number line?
a)
25%
b)
`50%
c)
75%
d)
100%
59.
Consider the boxplot below. What is the interquartile range (IQR)?
a)
4
b)
3.5
c)
6
d)
9
60.
a)

F

b)

G

c)

H

d)

J