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 according to the order of operations (PEMDAS/BODMAS).

Front

What does the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you evaluate the expression 5m + 7 when m = 5?

Back

Substitute 5 for m: 5(5) + 7 = 25 + 7 = 32.

Front

What is the value of z^2 - 2x when x = 5 and z = 4?

Back

Substituting the values gives: 4^2 - 2(5) = 16 - 10 = 6.

Front

How do you evaluate the expression 4h + 2g + 4 when g = 3 and h = 9?

Back

Substituting the values gives: 4(9) + 2(3) + 4 = 36 + 6 + 4 = 46.

Front

What is the value of b^2 + 4 when b = 3?

Back

Substituting the value gives: 3^2 + 4 = 9 + 4 = 13.

Front

How do you evaluate the expression 3x - 7 when x = 6?

Back

Substituting 6 for x gives: 3(6) - 7 = 18 - 7 = 11.

Front

What is the importance of substituting values in algebraic expressions?

Back

Substituting values allows us to find specific numerical results from algebraic expressions, making it easier to solve problems and understand relationships between variables.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operators (such as +, -, *, /) but does not have an equality sign.

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, containing an equality sign.