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. It does not have an equality sign.

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

How do you substitute values into an algebraic expression?

Back

To substitute values, replace each variable in the expression with the given numerical value and then simplify the expression.

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 operations should be performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What is the result of evaluating the expression (y + x) ÷ 2 for x = 1 and y = 1?

Back

The result is 1.

Front

How do you evaluate the expression z⋅(x + y) for x = 6, y = 8, and z = 6?

Back

First, substitute the values: z⋅(x + y) = 6⋅(6 + 8) = 6⋅14 = 84.

Front

What is the value of the expression x + y + y for x = 9 and y = 10?

Back

The value is 29.

Front

How do you evaluate the expression z − (y ÷ 3 − 1) for y = 3 and z = 7?

Back

First, substitute the values: z − (y ÷ 3 − 1) = 7 − (3 ÷ 3 − 1) = 7 − (1 - 1) = 7.

Front

What is the result of evaluating 6q + m − m for m = 8 and q = 3?

Back

The result is 18.

Front

What is the significance of parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first in an expression, affecting the outcome of the evaluation.