Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #451 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to solve for x, we will need to square both sides.

Simplify both sides.

However, if we substitute  back into the original equation, we will only find that positive three is a true solution, and not negative three.

The answer is:  

Example Question #452 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, divide by six on both sides of the equation.  This is similar to multiplying by one-sixth on both sides.

Simplify both sides.

The answer is:  

Example Question #453 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

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

Simplify both sides of the equation.  On the right side, multiply the whole number to the numerator.

The answer is:  

Example Question #454 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Divide by eight on both sides.

Simplify both sides.

Reduce this fraction by common factors.

The answer is:  

Example Question #455 : Algebra 1

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add 38 on both sides in order to isolate the x-variable.

Simplify both sides of the equation.

The answer is:  

Example Question #456 : Algebra 1

Solve for 

Possible Answers:

Correct answer:

Explanation:

To solve for  we multiply both sides by 3.

And we get

Example Question #457 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

 

Subtract  on both sides.

Example Question #458 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

 

Subtract  on both sides.

Since  is greater than  and is negative, our answer is negative. Therefore, we treat as a subtraction problem. 

Example Question #459 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

 

Subtract  on both sides.

When adding two negative numbers, we add the numbers and then put a minus sign in front of it.

Example Question #460 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

 

Add  on both sides.

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