# ACT Math : How to simplify an expression

## Example Questions

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### Example Question #1 : Simplifying Expressions

Simplify the result of the following steps, to be completed in order:

2. Multiply the sum by 4

3. Add x to the product

4. Subtract x – y from the sum

28x + 12y

28x + 13y

28x – 13y

29x + 13y

28x + 11y

28x + 13y

Explanation:

Step 1: 7x + 3y

Step 2: 4 * (7x + 3y) = 28x + 12y

Step 3: 28x + 12y + x = 29x + 12y

Step 4: 29x + 12y – (x – y) = 29x + 12y – x + y = 28x + 13y

### Example Question #1011 : Algebra

What is the simplified version of the expression:
?

Explanation:

Use PEMDAS to dictate which operation comes first. Simplify the parentheses:
and

.

Next come exponents:

After that comes multiplication and division left to right:

and

.

Finally, add all the terms together:

### Example Question #32 : Simplifying Expressions

The expression

can be rewritten as:

Explanation:

To simplify this problem, let’s look at each term individually. ; ; . Thus B is the correct answer.

### Example Question #31 : How To Simplify An Expression

The product of two consecutive odd negative integers is . What is the smaller of the two integers?