Warm Up #2: Evaluating Expressions

Front

What is the process of evaluating an expression?

Back

Evaluating an expression involves substituting the values of the variables in the expression and performing the arithmetic operations to find the result.

Front

How do you evaluate the expression 3x + 5 when x = 2?

Back

Substitute x with 2: 3(2) + 5 = 6 + 5 = 11.

Front

What is the value of the expression 2y² - 4y + 1 when y = -3?

Back

Substitute y with -3: 2(-3)² - 4(-3) + 1 = 2(9) + 12 + 1 = 18 + 12 + 1 = 31.

Front

How do you evaluate the expression 5a² - 3a + 2 when a = 0?

Back

Substitute a with 0: 5(0)² - 3(0) + 2 = 0 - 0 + 2 = 2.

Front

What is the result of evaluating 5y - 2 when y = 3?

Back

Substitute y with 3: 5(3) - 2 = 15 - 2 = 13.

Front

How do you evaluate the expression 3a² - 2a + 4 when a = -1?

Back

Substitute a with -1: 3(-1)² - 2(-1) + 4 = 3(1) + 2 + 4 = 3 + 2 + 4 = 9.

Front

What is the importance of order of operations in evaluating expressions?

Back

The order of operations (PEMDAS/BODMAS) ensures that expressions are evaluated correctly by following the sequence of Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'variable' mean in mathematics?

Back

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

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 is the difference between an expression and an equation?

Back

An expression represents a value and does not have an equality sign, while an equation states that two expressions are equal and includes an equality sign.