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 all possible calculations 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, 3x and 5x are like terms.

Front

What is the result of (7 + 41) ÷ 2 – 15?

Back

9

Front

What is the result of 15 + 7 × 2 – 11 + 35?

Back

53

Front

What is the result of (25 - 5) x 4 / 2?

Back

40

Front

What is the result of 30 - 14 • 2 + 8?

Back

10

Front

What is the result of (3.3 + 0.7) x (4 - 0.9)?

Back

12.4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents a number in an expression or equation.