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Chapter 1: Lessons 1-4 Review

Total questions: 20

Worksheet time: 13mins

Name
Class
Date
1.

Lesson 1: Write the fraction as a decimal.

 78\frac{7}{8}  

a)

0.8723

b)

0.8725

c)

0.875

d)

0.8758

2.

Lesson 1: Write the mixed number as a decimal.

 2 16252\ \frac{16}{25}  

a)

2.64

b)

-2.67

c)

-2.1625

d)

2.1625

3.

Lesson1: Write the fraction as a decimal.


 −23-\frac{2}{3}  

a)

 2.3‾2.\overline{3}  

b)

 0.6‾0.\overline{6}  

c)

 −2.3‾-2.\overline{3}  

d)

 −0.6‾-0.\overline{6}  

4.

Lesson 1: Write the decimal as a fraction or mixed number in simplest form.

 0.80.8  

a)

 810\frac{8}{10}  

b)

 8100\frac{8}{100}  

c)

 23\frac{2}{3}  

d)

 45\frac{4}{5}  

5.

Lesson 1: Write the decimal as a fraction or mixed number in simplest form.

 0.1‾0.\overline{1}  

a)

 19\frac{1}{9}  

b)

 110\frac{1}{10}  

c)

 11100\frac{11}{100}  

d)

 281\frac{2}{81}  

6.

Lesson 1: Write the decimal as a mixed number in simplest form.

 4.2254.225  



a)

 4 254\ \frac{2}{5}  

b)

 4 402004\ \frac{40}{200}  

c)

 4 2251004\ \frac{225}{100}  

d)

 4 9404\ \frac{9}{40}  

7.

Lesson 2: Write the expression using exponents.  

 8⋅8⋅8⋅8⋅8 8\cdot8\cdot8\cdot8\cdot8\   

a)

 868^6  

b)

 888^8  

c)

 858^5  

d)

 848^4  

8.

Lesson 2:  Write each expression using exponents. 

 a⋅a⋅a⋅a⋅a⋅aa\cdot a\cdot a\cdot a\cdot a\cdot a  

a)

 a3a^3  

b)

 a6a^6  

c)

 16a216a^2  

d)

 60a660a^6  

9.

Lesson 2: Write the expression using exponents. 

 9⋅9⋅5⋅5⋅5⋅9⋅5⋅59\cdot9\cdot5\cdot5\cdot5\cdot9\cdot5\cdot5  

a)

 9⋅59\cdot5  

b)

 98⋅589^8\cdot5^8  

c)

 93 ⋅559^{3\ }\cdot5^5  

d)

 95⋅539^5\cdot5^3  

10.

Lesson 2: Evaluate the expression.

 454^5  

a)

 10241024  

b)

 2020  

c)

 256256  

d)

 625625  

11.

Lesson 2: Evaluate the expression.

 (−3)5\left(-3\right)^5  

a)

-15

b)

15

c)

243

d)

-243

12.

Lesson 2: Evaluate the expression if a = 5 and b = - 4.

 (a+b)2\left(a+b\right)^2  

a)

 22  

b)

 11  

c)

 44  

d)

 8181  

13.

Lesson 3: Simplify. Express using exponents.

 52⋅555^2\cdot5^5  

a)

 25725^7  

b)

 5105^{10}  

c)

 575^7  

d)

 251025^{10}  

14.

Lesson 3: Simplify. Express using exponents.

 4x2(–5x6)4x^2(–5x^6)  

a)

 20x720x^7  

b)

 20x1220x^{12}  

c)

 −20x8-20x^8  

d)

 20x820x^8  

15.

Lesson 3: Simplify. Express using exponents.

 15w7y5w2y\frac{15w^7y}{5w^2y}  

a)

 10w9y210w^9y^2  

b)

 20w520w^5  

c)

 5w9y5w^9y  

d)

 3w53w^5  

16.

Lesson 3: Simplify. Express using exponents.

 67⋅76⋅8563⋅73⋅82\frac{6^7\cdot7^6\cdot8^5}{6^3\cdot7^3\cdot8^2}  



a)

 64⋅73⋅836^4\cdot7^3\cdot8^3  

b)

 610⋅712⋅876^{10}\cdot7^{12}\cdot8^7  

c)

 64⋅71⋅836^4\cdot7^1\cdot8^3  

d)

 610⋅876^{10}\cdot8^7  

17.

Lesson 3: Simplify. Express using exponents.

 [(63)2]2\left[\left(6^3\right)^2\right]^2  



a)

 676^7  

b)

 6126^{12}  

c)

 6106^{10}  

d)

 686^8  

18.

Lesson 3: The processing speed of a certain computer is 1011 instructions per second. Another computer has a processing speed that is 103 times as fast. How many instructions per second can the faster computer process?

a)

108 instructions10^{8\ }instructions

b)

1014 instructions10^{14\ }instructions

c)

105 instructions10^5\ instructions

d)

10113 instructions10^{113}\ instructions

19.

Lesson 4: Simplify using exponents. 

 (−5g4h9)7(-5g^4h^9)^7  



a)

 −35g11h16-35g^{11}h^{16}  

b)

 57g47h975^7g^{47}h^{97}  

c)

 (−5)7g28h63\left(-5\right)^7g^{28}h^{63}  

d)

 (−5)7g11h16\left(-5\right)^7g^{11}h^{16}  

20.

Lesson 4: Simplify.

 (0.2k8)2\left(0.2k^8\right)^2  


a)

 0.4k160.4k^{16}  

b)

 0.04k160.04k^{16}  

c)

 0.44k160.44k^{16}  

d)

 4.4k164.4k^{16}