Algebra 1 : Linear 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

6

–3

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.

3.x = 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:, wherestands for the real part andstands for the imaginary part. The symbolstands 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 isso that whenis 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:, wherestands for the real part andstands for the imaginary part. The symbolstands 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:, wherestands for the real part andstands for the imaginary part. The symbolstands for.

The imaginary part equals基于在sta的定义一个复数ndard form which is.

Example Question #6 :How To Solve One Step Equations

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 ofisand conjugate ofequals

Example Question #7 :How To Solve One Step Equations

Find the conjugate of.

Possible Answers:

Correct answer:

Explanation:

Sinceis a real number its conjugate is also.

Example Question #8 :How To Solve One Step Equations

Solve for:

Possible Answers:

None of the available answers

Correct answer:

Explanation:

First we will addto both sides.

Then we will multiple both sides byto isolate.

Example Question #9 :How To Solve One Step Equations

Solve for:

Possible Answers:

Correct answer:

Explanation:

Example Question #10 :How To Solve One Step Equations

What is the value of?

Possible Answers:

Correct answer:

Explanation:

Simplifying forgives you. Thus, the value ofis 3.

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