5.4F Simplifying Expressions

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. It is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by performing operations and combining like terms.

Front

What is a 'like term' in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

Solve: 2 + 3 * 4

Back

14 (First, multiply 3 and 4 to get 12, then add 2.)

Front

What is the result of 10 ÷ 2 + 5?

Back

10 (First, divide 10 by 2 to get 5, then add 5.)

Front

What is the value of the expression: (6 + 2) * 3?

Back

24 (First, add 6 and 2 to get 8, then multiply by 3.)

Front

Solve: 5 * (3 + 2) - 4

Back

21 (First, add 3 and 2 to get 5, then multiply by 5 to get 25, and finally subtract 4.)

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for variables and performing the operations.

Front

What is the result of 8 - 3 + 2?

Back

7 (First, subtract 3 from 8 to get 5, then add 2.)

Front

Solve: 12 - (4 + 2) * 2

Back

6 (First, add 4 and 2 to get 6, then multiply by 2 to get 12, and finally subtract from 12.)