MATHCP Algebra I  - Unit 14: Quotients of Monomials

Dividing Monomials


1)

Evaluate. 


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2)

Evaluate.


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3)

Evaluate.


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4)

Evaluate.


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5)

Evaluate.


6)

Evaluate.


7)

Evaluate.


8)

Simplify.


9)

Simplify.


10)

Simplify.


11)

Simplify.


12)

Find the quotient.


13)

Find the quotient.


14)

Find the quotient.


15)

Find the quotient.


16)

Find the quotient.


Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.

Negative Exponents


17)

Simplify using positive exponents.   


18)

Simplify using positive exponents.   


19)

Simplify using positive exponents.   


20)

Simplify using positive exponents.   


21)

Simplify the monomial using positive exponents.   


22)

Simplify the monomial using positive exponents.   


23)

Simplify the monomial using positive exponents.  


24)

Simplify the monomial using positive exponents.  


For the following, simplify and write each expression without negative exponents.  


25)

Write without negative exponents.


26)

Write without negative exponents.


27)

Write without negative exponents.


28)

Write without negative exponents.


29)

Explain the mistake in the scenario described below.


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30)

Describe how to simplify the expression below. Include a summary of any properties that could help you make the simplifications. 


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31)

Describe how to simplify the expression below. Include a summary of any properties that could help you make the simplifications. 


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32)

Describe how to simplify the expression below. Include a summary of any properties that could help you make the simplifications. 


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33)

Describe how to simplify monomials containing negative exponents. 


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Review


34)

Solve the equation for “x”.  8x – 5(x + 3) = (7x – 1)3  

Click here to review the unit content explanation for Integers and Equations.


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35)

Solve the equation for “x”.

Click here to review the unit content explanation for Rational Numbers and Exponents.


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36)

Simplify.  4(3x + y) + 3(x + 2y)

Click here to review the unit content explanation for Polynomials.


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37)

Simplify. (–5a)(–2b) – (–8a)(6b)

Click here to review the unit content explanation for Polynomials.


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38)

Find the difference.   

Click here to review the unit content explanation for Polynomials.


39)

A line passes through the points A(–14, –3) and B(–5, –30). Write an equation for this line and an equation for a line perpendicular to this line.

Click here to review the unit content explanation for Linear Equations and Graphs.


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40)

Solve the system using substitution. 

Click here to review the unit content explanation for Systems of Equations.


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41)

Solve the system using substitution. 

Click here to review the unit content explanation for Systems of Equations.


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42)

Explain how you solved the previous problem.

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43)

Solve the system using elimination.

Click here to review the unit content explanation for More Systems of Equations.


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44)

Explain how you solved the previous problem.

Click here to review the unit content explanation for More Systems of Equations.


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