Evaluating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols (like +, -, *, /). For example, 3x + 5 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical result.

Front

Evaluate the expression 3(2x + z) when x=8 and z=2.

Back

54

Front

Evaluate the expression 6a + 2(c - b) when a=2, b=1, c=9.

Back

28

Front

Evaluate the expression b² + 4 when b=3.

Back

13

Front

Evaluate the expression 2r + 1 if r = -3.

Back

-5

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value in an expression or equation. For example, in the expression 5x, 'x' is the variable.

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 4x, 4 is the coefficient.

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 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.