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 used when evaluating expressions?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Evaluate the expression 2x + 3 when x = 5.

Back

2(5) + 3 = 10 + 3 = 13.

Front

What is the result of evaluating the expression 4y - 7 when y = 3?

Back

4(3) - 7 = 12 - 7 = 5.

Front

How do you handle negative values when evaluating expressions?

Back

When substituting negative values, ensure to use parentheses if necessary to avoid confusion with subtraction.

Front

What is the value of the expression 3(2x + z) when x = 8 and z = 2?

Back

3(2(8) + 2) = 3(16 + 2) = 3(18) = 54.

Front

Evaluate the expression x^2 + 2x - 1 when x = -3.

Back

(-3)^2 + 2(-3) - 1 = 9 - 6 - 1 = 2.

Front

What is the value of 6a - 3d when a = 1 and d = 2?

Back

6(1) - 3(2) = 6 - 6 = 0.