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Adding/Subtracting Fractions with Variables and Exponents Practice Problems

based on 7 ratings
By — McGraw-Hill Professional
Updated on Sep 26, 2011

Adding/Subtracting Fractions with Variables and Exponents Practice Problems

Set 1: Adding/Subtracting Fractions with Variables and Exponents

To review addition and subtraction of fractions with variables in one or more of the denominators, go to Adding/Subtracting Fractions Help

Practice

Adding/Subtracting Fractions Practice

Adding/Subtracting Fractions Practice 2

Solutions

Adding/Subtracting Fractions Solutions

Adding/Subtracting Fractions Solutions 2

Adding/Subtracting Fractions Solutions 3

Set 2: Exponent Properties 5 & 6 - Adding/Subtracting Fractions with Variables and Negative Exponents

To review Exponent Properties 5-6, go to Adding/Subtracting Fractions Help

Practice

Use Properties 1–6 to rewrite without a negative exponent.

Adding/Subtracting Fractions Practice 3

Adding/Subtracting Fractions Practice 4

Adding/Subtracting Fractions Practice 5

Adding/Subtracting Fractions Practice 6

Solutions

Adding/Subtracting Fractions Solutions 4

Adding/Subtracting Fractions Solutions 5

Adding/Subtracting Fractions Solutions 6

Adding/Subtracting Fractions Solutions 7

Set 3: Exponent Properties 7 & 8 - Adding/Subtracting Fractions with Variables and Exponents with Products and Quotients

To review how to simplify expressions and eliminate negative exponents, go to Adding/Subtracting Fractions Help.

Practice

Simplify and eliminate any negative exponents.

1. ( xy 3 ) 2 =

2. (3 x ) –3 =

3. (2 x ) 4 =

4. (3( x –4)) 2 =

5. 6(2 x ) 3 =

6. 6 y 2 (3 y 4 ) 2 =

7. (5 x 2 y 4 z 6 ) 2 =

Adding/Subtracting Fractions Practice 7

Solutions

1. ( xy 3 ) 2 = x 2 ( y 3 ) 2 = x 2 y 6

Adding/Subtracting Fractions Solutions 8

3. (2 x ) 4 = 2 4 x 4 = 16 x 4

4. (3( x –4)) 2 = 3 2 ( x –4) 2 = 9( x –4) 2

5. 6(2 x ) 3 = 6(2 3 x 3 )= 6(8 x 3 )= 48 x 3

6. 6y 2 (3y 4 ) 2 = 6y 2 (3 2 (y 4 ) 2 )= 6y 2 (9y 8 )= 54y 10

7. (5 x 2 y 4 z 6 ) 2 = 5 2 ( x 2 ) 2 (y 4 ) 2 (z 6 ) 2 = 25 x 4 y 8 z 12

Adding/Subtracting Fractions Solutions 9

 

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