Solving Simple Rational Equations

Solving Simple Rational Equations

Lesson 6.4

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A rational number can always be written as a:

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Solve the equation. Enter your answer as a number.

 $\frac{6}{x+4}=-2$  

Enter fractions as (a/b) or round decimals to 4 significant figures (0.000 or 00.00).

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What is/are the restriction(s)?  Enter your answer as a number. 

 $\frac{6}{x+4}=-2$  

Enter multiple answers as: a,b (no space) 

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Solve the equation. Enter your answer as a number.

 $\frac{18}{x-9}=6$  

Enter fractions as (a/b) or round decimals to 4 significant figures (0.000 or 00.00).

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What is/are the restriction(s)?  Enter your answer as a number

 $\frac{18}{x-9}=6$  

Enter multiple answers as: a,b (no space) 

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Solve the equation. Enter your answer as a number.

 $\frac{x-7}{x+2}=-1$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

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What is/are the restriction(s)?  Enter your answer as a number. 

 $\frac{x-7}{x+2}=-1$  

Enter multiple answers as: a,b (no space) 

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Solve the equation. Enter your answer as a number.

 $\frac{0.3}{x+1}=\frac{2}{8}$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

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What is/are the restriction(s)?  Enter your answer as a number.

 $\frac{0.3}{x+1}=\frac{2}{8}$  

Enter multiple answers as: a,b (no space) 

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Solve the equation. Enter your answer as a number.

 $\frac{0.4}{12x-8}=\frac{0.2}{x}$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

Fill in the Blank

What is/are the restriction(s)?  Enter your answer as a number.

 $\frac{0.4}{12x-8}=\frac{0.2}{x}$  

Enter multiple answers as: a,b (no space) 

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Solve the equation. Enter your answer as a number.

 $\frac{9}{x+2}=\frac{7}{x-5}$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

Fill in the Blank

What is/are the restriction(s)?  Enter your answer as a number.

 $\frac{9}{x+2}=\frac{7}{x-5}$  

Enter multiple answers as: a,b (no space) 

Fill in the Blank

Solve the equation. Enter your answer as a number.

 $\frac{4}{x}+8=11+\frac{10}{x}$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

Fill in the Blank

What is/are the restriction(s)?  Enter your answer as a number.

 $\frac{4}{x}+8=11+\frac{10}{x}$  

Enter multiple answers as: a,b (no space) 

Fill in the Blank

Solve the equation. Enter your answer as a number.

 $\frac{-6}{x}+12=4+\frac{3}{x}$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

Fill in the Blank

What is/are the restriction(s)?  Enter your answer as a number.

 $\frac{-6}{x}+12=4+\frac{3}{x}$  

Enter multiple answers as: a,b (no space) 

Fill in the Blank

Solve the equation. Enter your answer as a number.

 $9+\frac{8}{x}=\frac{10}{x}+5$  

Enter fractions as (a/b) or round decimals to 4 significant figures, if necessary (0.000 or 00.00).

Fill in the Blank

What is/are the restriction(s)?  Enter your answer as a number.

 $9+\frac{8}{x}=\frac{10}{x}+5$  

Enter multiple answers as: a,b (no space) 

Multiple Choice

When is there NO SOLUTION to a rational equation?

• When x=0

• When there is a restriction

• When the answer and the restriction are the same

• When x= a negative number