Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Subtracting a negative number is the same operation as adding a positive number. Thus, the left side of the equation can be written as follows:

Subtract  from both sides.

Since we are subtracting from a negative number, we can rewrite the right side of the equation and treat it as an addition problem that adds a minus sign to the sum.

 

Example Question #42 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Divide both sides by .

Example Question #43 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Divide both sides by 

When we divide a negative number by a positive number the answer is always negative.

Example Question #41 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Divide both sides by .

When we divide a negative number by a negative number the answer is always positive.

Example Question #45 : Linear Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Multiply both sides by .

Example Question #41 : Algebra 1

Solve for .

Possible Answers:

Correct answer:

Explanation:

 

Multiply both sides by .

 

Since there is a negative sign in front of the , we need to divide both sides by 

When we divide a negative variable by a negative number the variable becomes positive. Likewise, when we divide a positive number by a negative number the answer is always negative.

Example Question #47 : Algebra 1

Solve for 

Possible Answers:

Correct answer:

Explanation:

 

Multiply both sides by .

Let's start with the right side of the equation. When we divide a negative variable with a negative number the answer is positive. We can rewrite the leftmost term as follows:

We can now rewrite the equation replacing  with .

When we multiply a positive term by a negative number the answer is always negative. Likewise, when we multiply a negative number by a negative number the answer is always positive.

 

Since there is a negative sign in front of the , we need to divide both sides by 

When we divide a negative variable by a negative number the variable becomes positive. Likewise, when we divide a positive number by a negative number the answer is always negative.

Example Question #47 : Linear Equations

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

To isolate the variable, , divide both sides by 99. Then factor the numerator and denominator to find terms that will cancel out. Doing this will result in the simplified fraction and the correct answer.

Example Question #48 : Linear Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we will need to isolate  to one side of the equation.

Add  to both sides of the equation.

Example Question #49 : Linear Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we will need to isolate  to one side of the equation.

Add  to both sides of the equation.

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