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Review for Unit 1 test

Total questions: 26

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

change the fraction to a decimal

a)

0.75

b)

3.4

c)

4.3

d)

3

2.

Change the decimal to a fraction. 0.125

a)
b)
c)
d)
3.

convert this decimal to a fraction 0.2525....

a)

2599\frac{25}{99}

b)

25100\frac{25}{100}

c)

14\frac{1}{4}

d)

9925\frac{99}{25}

4.

Simplify the expression using exponents x333x536

a)

3x17

b)

39x8

c)

38x9

d)

317x

5.

Simplify this expression using exponents. 

a)

85x10y

b)

85x7y3

c)

85x7y10

d)

822xy

6.

Express using exponents.

a)

32x6

b)

34x6

c)

12x6

d)

12x2

7.

Simplify using exponents

a)

412

b)

47

c)

45

d)

42

8.

Simplify using exponents

a)

36x9y9

b)

36x6y6

c)

35x6y6

d)

3-1xy

9.

write using positive exponents 2-4

a)
b)
c)
d)
10.

Simplify using positive exponents.

a)
b)
c)
d)
11.

Write in standard form 2.54x103

a)

2540

b)

0.00254

c)

254000

d)

0.000254

12.

Write in Scientific Notation 0.000435

a)

4.35x104

b)

4.35x105

c)

4.35x10-4

d)

4.35x10-5

13.

Answer the question in Scientific notation. (3.9x102)(2.3x106)

a)

8.97x108

b)

89.7x108

c)

8.97x107

d)

6.2x108

14.

Write the answer in Scientific Notation

a)

0.2375x1012

b)

2.375x1011

c)

2.375x1012

d)

0.2375x1011

15.

what is the square root of this number 144

a)

12

b)

11

c)

13

d)

144

16.

What is the cube root of this number -27

a)

3

b)

-3

c)

9

d)

-9

17.

What is the estimate for this square root?

a)

6

b)

-6

c)

7

d)

4

18.

What is the estimate for this cube root?

a)

-5

b)

5

c)

4

d)

11

19.

Write this fraction as a decimal 2 252\ \frac{2}{5}  

a)

4.5

b)

2.4

c)

2.25

d)

4.25

20.

Evaluate this expression  (42)(53)\left(4^2\right)\cdot\left(5^3\right)  

a)

120

b)

125

c)

2000

d)

48

21.

Evaluate the expression 4543\frac{4^5}{4^3}  .

a)

 424^2  

b)

 484^8  

c)

8

d)

16

22.

Simplify this expression using positive exponents.  (33x4y5z7)3(32x5y4z9)3\frac{\left(3^3x^4y^5z^7\right)^3}{\left(3^2x^5y^4z^9\right)^3}  

a)

 3yxz2\frac{3y}{xz^2}  

b)

 33x3y3z63^{-3}x^{-3}y^3z^{-6}  

c)

 y333x3z6\frac{y^3}{3^3x^3z^6}  

d)

 y327x3z6\frac{y^3}{27x^3z^6}  

23.

Write answer in scientific notation  (2.5x104) +(3.6x103)\left(2.5x10^4\right)\ +\left(3.6x10^3\right)  

a)

 2.86x1042.86x10^4  

b)

28,600

c)

 1.1x1011.1x10^1  

d)

11

24.

Write answer in scientific notation. (3.6x107)(2.4x105)\left(3.6x10^7\right)-\left(2.4x10^5\right)  

a)

35,760,000

b)

 3.586x1073.586x10^7  

c)

 3.576x1073.576x10^7  

d)

 3.576x1023.576x10^2  

25.

Evaluate this expression  343\sqrt{4}  

a)

12

b)

6

c)

3.46

d)

 34\frac{3}{4}  

26.

Order these numbers from least to greatest.  6.8, 45, 8, 56, 76.8,\ \sqrt{45},\ 8,\ \sqrt{56},\ 7  

a)

 45,56, 6.8, 7, 8\sqrt{45},\sqrt{56},\ 6.8,\ 7,\ 8  

b)

 45, 6.8, 56, 7, 8\sqrt{45},\ 6.8,\ \sqrt{56},\ 7,\ 8  

c)

 45, 6.8, 7, 56, 8\sqrt{45},\ 6.8,\ 7,\ \sqrt{56},\ 8  

d)

 45, 6.8, 7, 56, 8\sqrt{45},\ 6.8,\ 7,\ \sqrt{56},\ 8