### All Algebra 1 Resources

## Example Questions

### Example Question #1 : How To Solve One Step Equations

What is the solution of 3x = 9?

**Possible Answers:**

3

1/3

6

–6

–3

**Correct answer:**

3

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:**

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:**

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:**

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:**

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 : How To Solve One Step Equations

Identify the conjugate of .

**Possible Answers:**

**Correct answer:**

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 #7 : How To Solve One Step Equations

Find the conjugate of .

**Possible Answers:**

**Correct answer:**

Since is 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:**

First we will add to both sides.

Then we will multiple both sides by to isolate .

### Example Question #9 : How To Solve One Step Equations

Solve for :

**Possible Answers:**

**Correct answer:**

### Example Question #10 : How To Solve One Step Equations

What is the value of ?

**Possible Answers:**

**Correct answer:**

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

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