Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #361 : How To Solve One Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

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

Example Question #362 : 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 #363 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the unknown variable , we need to multiply both sides by ten.

Simplify both sides.

The answer is:  

Example Question #361 : How To Solve One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Multiply by five on both sides.

Simplify both sides.

The answer is .

Example Question #365 : How To Solve One Step Equations

Solve the following one-step equation for 

Possible Answers:

Correct answer:

Explanation:

Solve the following one-step equation for 

One-step equations can be solved in one step. 

In this case, we simply need to divide by . That will get rid of the  on the left and show us what value of  is the solution.

So

Example Question #362 : How To Solve One Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by six on both sides in order to isolate the unknown variable.

The answer is .

Example Question #367 : How To Solve One Step Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by six on both sides in order to isolate the unknown variable.

Simplify both sides.

The answer is .

Example Question #368 : How To Solve One Step Equations

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x, we want x to be by itself.  Given the equation

we need to multiply both sides of the equation by -4 to get x to stand alone.  So,

Example Question #369 : How To Solve One Step Equations

Solve for y in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for y, we want to get y to stand alone.  Given the equation

to get y to stand alone, we need to multiply both sides by -6.  We get

Example Question #370 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the unknown variable, we will need to subtract nine on both sides of the equation.

The left side simplifies to only x, and the right side of the equation will also simplify.

The answer is .

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