Unit 6 - Equivalent Numerical and Algebraic Expressions Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (e.g., x - 80 = 14).

Front

What is an expression?

Back

An expression is a combination of numbers, variables, and operators without an equal sign (e.g., 5x - 30).

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: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

Front

What is the first step in solving the expression 3 + 4 x 6 - 4?

Back

The first step is to perform multiplication: 4 x 6 = 24.

Front

What is the difference between an expression and an equation?

Back

The main difference is that an equation contains an equal sign, while an expression does not.

Front

What is a variable in mathematics?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation (e.g., x, y).

Front

What does it mean to simplify an expression?

Back

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

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations but no variables (e.g., 3 + 5 - 2).

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (e.g., 2x + 3).