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overall review G6 S2

Total questions: 84

Worksheet time: 4hrs 36mins

Name
Class
Date
1.

Select all sets that the number belongs to:

0.5

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

2.

Select all sets that the number belongs to:

 25\sqrt{25}  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

3.

Select all sets that the number belongs to:

 35\frac{3}{5}  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

4.

Select all sets that the number belongs to:

 1.121.\overline{12}  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

5.

Select all sets that the number belongs to:
 606^0  

a)

Irrational Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

6.
What is true about irrational numbers?
a)
They are terminating decimals.
b)
They are non-repeating decimals.
c)
They are fractions.
d)
They are natural numbers.
7.
All Integers are whole numbers
a)
true
b)
false
8.

Determine the number of significant digits of 4.7500

a)

3

b)

4

c)

5

d)

6

9.

5000.0

a)

1

b)

4

c)

5

d)

3

10.

Determine the number of significant digits of 4.057

a)

3

b)

4

c)

5

d)

6

11.

Determine the number of significant digits of 0.008050

a)

2

b)

3

c)

7

d)

4

12.

Number of Significant Digits: 9.80

a)

1

b)

2

c)

3

d)

4

13.

Number of Significant Digits: 0.06300

a)

1

b)

2

c)

3

d)

4

14.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
15.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
16.

Find y if

 y6\frac{y}{6}  =  3

a)

9

b)

2

c)

18

d)

3

17.
Solve 3x - 10 = 2 - x
a)
-4
b)
-2
c)
3
d)
6
18.
Solve the equation -5 + 2p = 23
a)
p = -14
b)
p = -9
c)
p = 9
d)
p = 14
19.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

20.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
21.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
22.
Solve for t.

6t 
4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
23.
3x - 2 ≥ 34
a)
x ≥ -12
b)
x ≤ -12
c)
x ≤ 12
d)
x ≥ 12
24.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
25.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
26.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
27.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
28.
Solve for x:
5 + 3x = 8x - 15
a)
10
b)
4
c)
2
d)
20/11
29.
5(2x - 7) = 80
a)
x = 11.5
b)
x = 115
c)
x = 12
d)
x = 16
30.
In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
31.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
32.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
33.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
34.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
35.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
36.
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
a)
14
b)
10
c)
2
d)
-14
37.
Does the table show an inverse variation?
a)
Yes
b)
No
38.

If y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

a)

26

b)

46

c)

52

d)

92

39.
Does the equation show an inverse variation? 
y=10/x
a)
yes
b)
no
40.
What is the constant (k) in this inverse variation?
a)
12
b)
24
c)
48
d)
Not enough information given
41.
Find the lateral area of the figure.
a)
96 ft2
b)
192 ft2
c)
84 ft2
d)
108 ft2
42.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
43.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
44.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
45.
What is the volume of the following triangular prism?
a)
45 cubic in
b)
36 cubic in
c)
108 cubic in
d)
54 cubic in
46.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
47.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
48.
A bicycle tire has a diameter of 27 inches. What is the radius?
a)
27π
b)
13.5
c)
81
d)
25π
49.

How do you find the area of a circle?

a)

πd2\pi d^2

b)

2π22\pi^2

c)

2πr2\pi r

d)

πr2\pi r^2

50.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
51.
a)
122.46 mi2
b)
122. 45 mi2
c)
175.84 mi2
d)
175.85 mi2
52.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
53.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
54.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
55.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
56.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
57.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
58.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
59.

1 is a perfect square and perfect cube

a)

TRUE

b)

FALSE

60.

Find the side length of a cube with a volume of  512cm3512cm^3  

a)

6 cm

b)

7 cm

c)

8 cm

61.

 y3=125y^3=125  
Find the value of y

a)

5

b)

15

c)

20

d)

25

62.

 (2)3=\left(-2\right)^3=  

a)

-8

b)

-6

c)

6

d)

8

63.

Cube root of 8000 is

a)

2

b)

20

c)

200

64.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
65.
W-10+9W-3
a)
10W+7
b)
9W-5
c)

9W +13

d)
10W -13
66.
simplify:  -4 + 7 ( 1-3x)
a)
11 + 3x
b)
3-21x
c)
11-2x
d)
3 + 21x
67.
Simplify:  3 (a +b + c)
a)
a+b+c
b)
3+3+3
c)
3a + 3b +3c
d)
a-b-c
68.
-3 (10b +10) + 5 (b+2)
a)
-25b-20
b)
25b-2
c)
-25b
d)
-2
69.
9w +10(6w-1)
a)

19w-10

b)
19w +11
c)
69w+10
d)
69w-10
70.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
71.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
72.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
73.
Find the median.
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
74.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
75.
Which of the following is an example of an algebraic expression?
a)
3(2 + 7) - 10
b)
78 - 5 + 3
c)
3x + 6y
d)
8(3) - 5 + 2
76.
How many terms are in the given expression?
52 + 7n - 2f  
a)
6
b)
5
c)
3
d)
2
77.
Five less than y
a)
5+y
b)
5y
c)
5-y
d)
y-5
78.
The product of five and w
a)
5+w
b)
5w
c)
w-5
d)
5-w
79.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
80.
The total of m and n
a)
mn
b)
m/n
c)
m-n
d)
m+n
81.

What is (3x -2) - (4x + 1) in simplest form?

a)

x - 3

b)

-x - 3

c)

-x + 1

d)

x + 1

82.

Which expression is equivalent to -5(x + 10)?

a)

5x + 50

b)

-5x + 10

c)

-5x - 50

d)

5x - 50

83.

Add (11x + 2) + (9x - 4)

a)

20x - 6

b)

20x - 2

c)

2x - 6

d)

2x -2

84.

Add (-2x + 4) + (4x + 6)

a)

2x +10

b)

6x + 10

c)

2x - 2

d)

6x - 2