Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #511 : Linear Equations

Solve the following equation: 

Possible Answers:

Correct answer:

Explanation:

In order to isolate the , we will need to multiply both sides by the reciprocal of the coefficient in front of the .

Simplify both sides. Multiply the whole number with the numerator on the right side.

The answer is: 

Example Question #512 : Linear Equations

Solve the following equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, subtract one eighth from both sides.

Change the fractions on the left side to a common denominator and simplify both sides.

The answer is:  

Example Question #513 : Linear Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Multiply both sides by the reciprocal of the fraction in front of the x-variable.

The left side will simplify to only the x-variable.  Multiply the integer with numerator on the right side of the equation.

The answer is:  

Example Question #514 : Linear Equations

Solve the following equation:

Possible Answers:

Correct answer:

Explanation:

Add  on both sides in order to isolate the .

Simplify both sides.

The answer is: 

Example Question #511 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, we will need to add 17 on both sides.

When adding a positive number with a negative number, the final number will be closer to zero.

Simplify both sides.

The answer is:  

Example Question #516 : Linear Equations

Solve the equation:

Possible Answers:

Correct answer:

Explanation:

Isolate the  by subtracting  on both sides.

Simplify both sides.

The answer is: 

Example Question #512 : How To Solve One Step Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the variable, add 55 on both sides.

Simplify both sides of the equation.

The answer is:  

Example Question #518 : Linear Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

To isolate the x-variable, divide both sides by six.

Cancel the sixes on the left and rewrite the right side using common factors.

Cancel the threes.

The answer is:  

Example Question #519 : Linear Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

In order to isolate the x-variable, multiply both sides by the reciprocal of the fraction in front of the x-variable.

The left will simplify to a lone variable.  Multiply the integer with the numerator on the right side.

The answer is: 

Example Question #513 : How To Solve One Step Equations

Solve the equation:   

Possible Answers:

Correct answer:

Explanation:

Solve this equation by adding 23 on both sides of the equation.

Simplify both sides of the equation.

The answer is:  

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