Simplifying Algebraic Expressions 2 Sample Problems

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These sample problems below for Simplifying Algebraic Expressions 2 were generated by the MathScore.com engine.

Complexity=5, Mode=multiply

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.

Problem

Correct Answer

Your Answer

( 2q⁴ )( 9q )

Solution

( 2q⁴ )( 9q )	=	2 • q⁴ • 9 • q¹
	=	( 2 • 9 )( q⁴ • q¹ )
	=	18 • q^{4 + 1}
	=	18q⁵

Problem

Correct Answer

Your Answer

( n⁴ )( 10n )

Solution

( n⁴ )( 10n )	=	1 • n⁴ • 10 • n¹
	=	( 1 • 10 )( n⁴ • n¹ )
	=	10 • n^{4 + 1}
	=	10n⁵

Complexity=5, Mode=exponent

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.

Problem

Correct Answer

Your Answer

( ^-8u^-4)³

Solution

( ^-8u^-4)³	=	( -8 • u^-4 )³
	=	( -8 )³ • (u^-4)³
	=	-512 • (u^{-4 * 3})
	=	( ^-8u^-4)³

Problem

Correct Answer

Your Answer

( ^-3r³)³

Solution

( ^-3r³)³	=	( -3 • r³ )³
	=	( -3 )³ • (r³)³
	=	-27 • (r^{3 * 3})
	=	( ^-3r³)³

Complexity=5, Mode=root

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.

Correct Answer

Your Answer

64s⁸

Correct Answer

Your Answer

9b⁴

Complexity=5

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.

Problem

Correct Answer

Your Answer

( ^-5r )( -r² )

Solution

( ^-5r )( -r² )	=	-5 • r¹ • -1 • r²
	=	( -5 • -1 )( r¹ • r² )
	=	5 • r^{1 + 2}
	=	5r³

#	Problem	Correct Answer	Your Answer
2	( ^-6t³)¹	=
Solution Any number to the 1st power is itself.

MathScore.com

Sample Problems For Simplifying Algebraic Expressions 2

Complexity=5, Mode=multiply

Complexity=5, Mode=exponent

Complexity=5, Mode=root

Complexity=5

Answers

Complexity=5, Mode=multiply

Complexity=5, Mode=exponent

Complexity=5, Mode=root

Complexity=5