Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #381 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply  on both sides.

Example Question #382 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply  on both sides. When multiplying with a positive number, our answer is negative.

Example Question #383 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply  on both sides. When multiplying with another negative number, our answer is positive.

Example Question #384 : How To Solve One Step Equations

Solve for a in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for a, we need a to stand alone.  Given the following equation

we will multiply both sides by -4.  So,

Example Question #385 : How To Solve One Step Equations

Solve the following:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x variable, we need to divide by three on both sides.

Simplify both sides of the equation.

The answer is:  

Example Question #386 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x variable, add 13 on both sides of the equation.

Simplify both sides.

The answer is .

Example Question #387 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x variable, multiply the reciprocal of the fraction coefficient on both sides.

Simplify both sides.

The answer is:  

Example Question #388 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x-variable, divide by nine on both sides.

Simplify both sides.  The right side is a complex fraction.  We can rewrite the complex fraction where five-sixth is multiplied by one-ninth.

The answer is:  

Example Question #389 : How To Solve One Step Equations

Solve the following equation for 

Possible Answers:

Correct answer:

Explanation:

Subtract  from both sides of the equation.

Example Question #390 : How To Solve One Step Equations

Solve the following equation for .

Possible Answers:

Correct answer:

Explanation:

Add  to both sides of the equation.

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