IXL - Evaluate multi-variable expressions with exponents (Algebra 1 practice)

Find the value of the expression

t³ × ^–2 × (^–2)^u

for t = ^–1 and u = 3.

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Learn with an example

question

Find the value of the expression

2 × (d × 3) × c²

for c = 1 and d = 2.

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 c = 1 and d = 2.

2 × (d × 3) × c²

2 × (2 × 3) × 1²

Now evaluate. Follow the order of operations.

Step 1: Do operations inside parentheses. Work from the inside out. Repeat steps 1 through 4 for each set of parentheses.

2 × (2 × 3) × 1²

2 × 6 × 1²

Step 2: Evaluate exponents.

2 × 6 × 1²

2 × 6 × 1

Step 3: Multiply and divide from left to right.

2 × 6 × 1

12 × 1

12 × 1

12

Step 4: Add and subtract from left to right.

There are no addition or subtraction signs.

You are finished evaluating the expression.
So, for c = 1 and d = 2:

2 × (d × 3) × c² = 12

Looking for more? Try these:

Lesson: Evaluating expressions

Lesson: Exponents

Lesson: Order of operations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

K.5Evaluate one-variable expressions

A.2Evaluate numerical expressions involving integers

Lesson: Evaluating expressions

Lesson: Exponents

Lesson: Order of operations

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