Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #761 : Linear Equations

Solve the equation:  

Possible Answers:

Correct answer:

Explanation:

Add four on both sides to bring the four to the right side of the equation.

Simplify both sides.

Divide both sides by six.  

This fraction is not reduced.  Reduce the fraction by writing out the factors.

Cancel out or divide the twos.

The answer is:  

Example Question #762 : Linear Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Subtract three from both sides.

Simplify.

Divide by five on both sides.

Simplify both sides of the equation.

The answer is:  

Example Question #231 : How To Solve Two Step Equations

Solve the following equation for 

Possible Answers:

Correct answer:

Explanation:

Solve the following equation for 

Let's begin by subtracting  from both sides. This will leave us with just  on the left.

Next, let's divide both sides by  to get our answer:

So our answer is 

Example Question #232 : How To Solve Two Step Equations

Solve for x in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for x, we want to get x to be by itself or to stand alone.  Given the equation

we will first add 4 to both sides.

Now, we will divide both sides by 2.

Example Question #231 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides.

Example Question #232 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

 Divide  on both sides. When dividing with a negative answer, our answer is negative.

Example Question #233 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Multiply both sides by .

Example Question #234 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Divide  on both sides.

Example Question #237 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides. Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction.

 Divide  on both sides.

Example Question #238 : How To Solve Two Step Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Add  on both sides.

 Multiply  on both sides.

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