Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #1 : How To Solve One Step Equations

What is the solution of 3x = 9? 

Possible Answers:

1/3

3

6

–3

–6

Correct answer:

3

Explanation:

When solving a one step equation like this, we do the inverse operation to isolate the variable. In this case, we have 3x = 9, so we divide both sides by 3 to get x = 3. 

3x = 9

(3x)/3 = (9)/3

x = 3

Example Question #2 : How To Solve One Step Equations

Identify the imaginary part of the following complex number:

Possible Answers:

Correct answer:

Explanation:

A complex number in its standard form is of the form: , where  stands for the real part and  stands for the imaginary part. The symbol  stands for .

The imaginary part is .

Example Question #3 : How To Solve One Step Equations

Find the conjugate of .

Possible Answers:

Correct answer:

Explanation:

The conjugate is  so that when  is multiplied by its conjugate we get

Since

we get

.

Example Question #4 : How To Solve One Step Equations

Identify the real part of .

Possible Answers:

Correct answer:

Explanation:

A complex number in its standard form is of the form: , where  stands for the real part and  stands for the imaginary part. The symbol  stands for .

The real part is 0.

In this problem there is no real part. Hence the real part equals 0.

Example Question #5 : How To Solve One Step Equations

Identify the imaginary part of .

Possible Answers:

Correct answer:

Explanation:

A complex number in its standard form is of the form: , where  stands for the real part and  stands for the imaginary part. The symbol  stands for .

The imaginary part equals  based on the definition of a complex number in standard form which is .

 

Example Question #6 : Algebra 1

Identify the conjugate of .

Possible Answers:

Correct answer:

Explanation:

The conjugate of an imaginary number is the opposite of the given imaginary part. For example the conjugate of  is  and conjugate of  equals

Example Question #6 : How To Solve One Step Equations

Find the conjugate of .

Possible Answers:

Correct answer:

Explanation:

Since  is a real number its conjugate is also .

Example Question #7 : How To Solve One Step Equations

Solve for :

Possible Answers:

None of the available answers

Correct answer:

Explanation:

First we will add  to both sides.

Then we will multiple both sides by  to isolate .

Example Question #9 : Algebra 1

Solve for :

Possible Answers:

Correct answer:

Explanation:

Example Question #8 : How To Solve One Step Equations

What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Simplifying for gives you  . Thus, the value of is 3.

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