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Worksheets

8th grade 1st 9-week review

Total questions: 40

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
1/3=
a)
0.13
b)
0.333....
c)
0.666....
d)
0.6
2.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
3.
Convert 0.252525... to a fraction.
a)
25/9
b)
25/99
c)
25/100
d)
1/4
4.
Convert 0.769769769... to a fraction.
a)
769/999
b)
769/1000
c)
769/100
d)
769/99
5.

34\frac{3}{4}  

a)

Rational

b)

Irrational

6.

15\sqrt{15}  

a)

Rational

b)

Irrational

7.

π-\pi  

a)

Rational

b)

Irrational

8.

0.255255255...0.255255255...  

a)

Rational

b)

Irrational

9.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

10.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

11.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

12.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
13.

True or false? 9² = 18

a)

True

b)

False

14.

Which of the following is irrational?

a)

49\sqrt{49}

b)

50\sqrt{50}

c)

81\sqrt{81}

d)

121\sqrt{121}

15.
Evaluate.
a)
-12
b)
12
c)
±12
d)
1/12
16.
Evaluate.
a)
7/5
b)
±7/5
c)
5/7
d)
±5/7
17.
Which number is the closest approximation to the value of √50?
a)
5
b)
10
c)
25
d)
7
18.
Between which two whole numbers is the square root of 20?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
19.

Which pair of integers does the 73 lie?Which\ pair\ of\ integers\ does\ the\ \sqrt{73}\ lie?  


a)

6 and 7

b)

7 and 8

c)

8 and 9

d)

9 and 10

20.
What is the side length of a square that has an area of 121?
a)
11
b)
60.5
c)
30.25
d)
14641
21.

Which point on the number line below is closest to the approximate value of

75\sqrt{75}  ?

a)

point L

b)

point M

c)

point N

d)

point P

22.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

23.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

24.

Solve.

(2.4×104)(3.7×105)\left(2.4\times10^4\right)\left(3.7\times10^5\right)  

a)

6.1×1096.1\times10^9  

b)

8.88×1098.88\times10^9  

c)

8.88×10208.88\times10^{20}  

25.

Solve. 
8.8×1072.2×104\frac{8.8\times10^7}{2.2\times10^4}  

a)

4×1034\times10^3  

b)

6.6×1036.6\times10^3  

c)

4×10114\times10^{11}  

26.

Solve.

(3.1×103)+(4.5×103)\left(3.1\times10^3\right)+\left(4.5\times10^3\right)  

a)

1.395×1071.395\times10^7  

b)

7.6×1067.6\times10^6  

c)

7.6×1037.6\times10^3  

27.

Solve.

(4.6×107)(6.1×106)\left(4.6\times10^7\right)-\left(6.1\times10^6\right)  

a)

2.5×1072.5\times10^7  

b)

3.99×1063.99\times10^6  

c)

3.99×1073.99\times10^7  

28.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
29.
(x⁴)²
a)
x⁸
b)
x⁶
c)
d)
8
30.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
31.
Simplify the expression in exponential form:
1340
a)
0
b)
134
c)
1
32.
80 = 0
a)
True 
b)
False 
33.

515^{-1}  

a)

15\frac{1}{5}  

b)

15100\frac{1}{5^{100}}  

c)

153\frac{1}{5^3}  

d)

152\frac{1}{5^2}  

34.
3x = 4 + 2x
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
35.
Solve:  6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
36.
Solve!
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
37.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
38.

Solve for y:y:   8y2=7y98y-2=7y-9  

a)

77  

b)

17\frac{1}{7}  

c)

37-\frac{3}{7}  

d)

7-7  

39.

Solve for x.

20=x36-20=\frac{x-3}{6}  

a)

x=123x=-123  

b)

x=117x=-117  

c)

x=13x=-\frac{1}{3}  

d)

x=29x=-29  

40.

x +3x+7=2+4x+3x\ +3x+7=2+4x+3  

a)

One solution

b)

No solution

c)

Infinitely Many solutions