Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #521 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, add 17 on both sides.

Simplify both sides.

The answer is:  

Example Question #521 : How To Solve One Step Equations

Solve and simplify:  

Possible Answers:

Correct answer:

Explanation:

To solve for the unknown variable, divide by negative nine on both sides.

Reduce both fractions.

Cancel the threes on the right side.

The answer is:  

Example Question #523 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Solve this equation by multiplying by negative one-eight on both sides.  This will cancel the negative eight coefficient in front of the x-variable.

Simplify both sides.  Multiply the denominator with the denominator on the right side.

The answer is:  

Example Question #524 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x-variable, add two-thirds on both sides.

Simplify both sides.  When adding fractions of similar denominator, only add the numerator.

The answer is:  

Example Question #525 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by seven on both sides.

Remember that dividing by seven is the same as multiplying by one-seventh.

Rewrite the right side.

Simplify both sides.  The common sevens on the numerator and denominator will cancel on the right side.

The answer is:  

Example Question #526 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x-variable, divide by three on both sides.  This is similar to multiplying one-third on both sides.

Simplify both sides.  Multiply the denominators together on the right side.

The answer is:  

Example Question #527 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

To solve this equation, divide by two on both sides.  This is the same as multiplying by one-half on both sides.

Simplify both fractions.

The answer is:  

Example Question #528 : How To Solve One Step Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a one-step linear equation is simple. All you're being asked is to solve for x. In other words, how do you get x by itself on one side of the equals sign?

In order to solve for these kind of problems, it's important to keep in mind that what you do to one side must be done to the other. 

for , we want to get x by itself. The fastest way would be to move the  from left of the equals sign to the right with .

This can be accomplished by adding  to both sides. 

Example Question #521 : How To Solve One Step Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a one-step linear equation is simple. All you're being asked is to solve for x. In other words, how do you get x by itself on one side of the equals sign?

In order to solve for these kind of problems, it's important to keep in mind that what you do to one side must be done to the other. 

for , we want to get x by itself. The fastest way would be to move the  from left of the equals sign to the right with .

This can be accomplished by subtracting  from both sides. 

Example Question #522 : How To Solve One Step Equations

Solve 

Possible Answers:

Correct answer:

Explanation:

Solving for a one-step linear equation is simple. All you're being asked is to solve for x. In other words, how do you get x by itself on one side of the equals sign?

In order to solve for these kind of problems, it's important to keep in mind that what you do to one side must be done to the other. 

for , we want to get x by itself. The fastest way would be to move the  from left of the equals sign to the right with .

This can be accomplished by subtracting  from both sides. 

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