IXL | Evaluate multi-variable expressions with exponents

Find the value of the expression

c − (b + 2²)

for b = 1 and c = 14.

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Learn with an example

question

Find the value of the expression

w^v ÷ 9 − 1

for v = 2 and w = 6.

key idea

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

solution

Plug in v = 2 and w = 6.

w^v ÷ 9 − 1

6² ÷ 9 − 1

Now evaluate. Follow the order of operations.

Step 1: Do operations inside parentheses.

There are no parentheses. Go on to step 2.

Step 2: Evaluate exponents.

6² ÷ 9 − 1

36 ÷ 9 − 1

Step 3: Multiply and divide from left to right.

36 ÷ 9 − 1

4 − 1

Step 4: Add and subtract from left to right.

4 − 1

3

So, for v = 2 and w = 6:

w^v ÷ 9 − 1 = 3

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Teacher tools

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Not feeling ready yet? These can help:

Y.4Evaluate variable expressions with whole numbers

D.2Evaluate powers with whole number bases

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