Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #281 : How To Solve Two Step Equations

Solve the equation:

Possible Answers:

Correct answer:

Explanation:

Subtract twelve from both sides.

Simplify both sides.

Multiply by twelve on both sides to eliminate the fraction on the left side.

Simplify both sides.

The answer is:

Example Question #282 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add nine on both sides to isolate the variable term.

Simplify both sides.

Divide by negative four on both sides.

Simplify both sides.

The answer is:  

Example Question #283 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add thirteen on both sides.

Simplify both sides.

Divide by negative three on both sides.

Simplify both sides.

The answer is:  

Example Question #284 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Multiply the entire equation by seven to eliminate the fractions.

The result is:  

Subtract three from both sides.

Simplify both sides.

Divide by two on both sides to isolate the variable.

The answer is:  

Example Question #282 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract seven from both sides.

Simplify both sides of the equation.

Divide by four on both sides.

Simplify both fractions.

The answer is:  

Example Question #286 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Solve by first subtracting seven on both sides.

Divide by negative three on both sides.

Simplify both sides of the equation.

The answer is:  

Example Question #287 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract nine from both sides of the equation.

Simplify both sides.

Divide by negative six on both sides.

Reduce this fraction.  Use common factors to reduce.  Both the numerator and denominator are divisible by three.

Cancel the threes.

The answer is:  

Example Question #288 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract forty from both sides of the equation.

Simplify both sides of the equation.

Divide by negative seven on both sides of the equation.

Simplify both sides.

The answer is:  

Example Question #281 : How To Solve Two Step Equations

Solve the equation: 

Possible Answers:

Correct answer:

Explanation:

Subtract two fifth from both sides of the equation.

Simplify both sides. In order to subtract the right side, we will need to have like-denominators. Find the least common denominator and re-convert the fractions.

Subtract the numerators on the right side.

Multiply by two on both sides to eliminate the fraction in front of the x-variable.

The answer is: 

Example Question #281 : How To Solve Two Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Subtract seven from both sides of the equation.

Simplify both sides of the equation.

Divide by two on both sides.

Reduce both fractions.

The answer is:  

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