Interpret and evaluate algebraic expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to evaluate an expression?

Back

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

Evaluate the expression 2x + 3 + x² for x = 4.

Back

27

Front

Evaluate the expression 7y - 3y for y = 2.

Back

8

Front

Evaluate the expression 6a - 3d when a = 1 and d = 2.

Back

0

Front

What does the term 'variable' mean in algebra?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 3x, 3 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 2x + 5, the number 5 is a constant.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign.