Evaluating Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

Front

Evaluate the expression: 5 + 3 * 2

Back

11 (First multiply 3 * 2 = 6, then add 5 + 6 = 11).

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

Evaluate the expression: 2x + 3 when x = 4

Back

11 (2*4 + 3 = 8 + 3 = 11).

Front

What is the difference between an expression and an equation?

Back

An expression is a mathematical phrase without an equality sign, while an equation is a statement that two expressions are equal, containing an equality sign.

Front

Write an algebraic expression for: 10 increased by a number n.

Back

10 + n.

Front

Evaluate the expression: 3(a + 2) when a = 5

Back

21 (3*(5 + 2) = 3*7 = 21).

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.