Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #791 : Linear Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add 12 on both sides of the equation.

Simplify both sides of the equation.

Divide by three on both sides.

Simplify both sides.  The fraction on the right is irreducible.

The answer is:  

Example Question #793 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract seven from both sides.

Simplify both sides.

Divide by negative two on both sides.

The answer is:  

Example Question #261 : How To Solve Two Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract nine from both sides.

Simplify both sides.

Divide by nine on both sides.

Reduce the fractions.

The answer is:  

Example Question #795 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add two on both sides.

Simplify both sides of the equation.

Divide by three on both sides.

Simplify both sides.

The answer is:  

Example Question #796 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract nine on both sides to transfer the nine from the left to the right.

Simplify both sides.

Divide by negative two on both sides.

The answer is:  

Example Question #797 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract six on both sides of the equation.

Simplify both sides.

Divide by negative two on both sides.

Divide both fractions.  A negative number divided by a negative number will yield a positive number.

Example Question #798 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by negative three on both sides.

Simplify both sides.

Subtract three from both sides.

The answer is:  

Example Question #262 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract five from both sides.

Simplify both sides.

Divide by negative three on both sides.

Simplify both fractions.

The answer is:  

Example Question #262 : How To Solve Two Step Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

To solve for  we first subtract  on both sides

and then multiply by 

and we get

Example Question #262 : How To Solve Two Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Subtract  on both sides.

For the right side to be subtracted, their denominators must be common.  The least common denominator is ten, and we can rewrite  as a ratio of ten over ten.

Subtract the fractions on the right.

Divide by ten on both sides to isolate .  This is the same as multiplying  on both sides.

The answer is:  

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