### All ACT Math Resources

## Example Questions

### Example Question #2 : Negative Numbers

What is ?

**Possible Answers:**

45

**Correct answer:**

A negative number divided by a negative number always results in a positive number. divided by equals . Since the answer is positive, the answer cannot be or any other negative number.

### Example Question #4 : How To Add / Subtract / Multiply / Divide Negative Numbers

Solve for :

**Possible Answers:**

**Correct answer:**

Begin by isolating your variable.

Subtract from both sides:

, or

Next, subtract from both sides:

, or

Then, divide both sides by :

Recall that division of a negative by a negative gives you a positive, therefore:

or

### Example Question #1 : How To Divide Negative Numbers

Solve the following equation:

**Possible Answers:**

**Correct answer:**

The rule for dividing negative numbers is the same as for multiplying negative numbers.

If both numbers are negative, you will get a positive answer.

If either number is positive, and the other is negative, you will get a negative answer.

Therefore:

### Example Question #112 : Arithmetic

Choose the answer which best solves the following equation:

**Possible Answers:**

**Correct answer:**

To solve, first put the equation in terms of :

First multiply the x to both sides.

Now divide by 12 to solve for x.

Here, because one of the numbers in the equation is positive, and the other is negative, the answer must be a negative number:

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