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. For example, 2x + 3 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

How do you simplify an algebraic expression?

Back

To simplify an algebraic expression, combine like terms and perform any operations to reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Evaluate the expression: 2x + 5(y - 1) when x = 8 and y = 5.

Back

36

Front

Simplify: -5 - 15n - 10n + 19.

Back

-25n + 14

Front

Evaluate: x - y - x^2 + (y^2 + x) when x = -3 and y = -2.

Back

-9

Front

Evaluate the expression when a = -15: |a - 5| + 2.

Back

22

Front

Translate the phrase into an algebraic expression: Three times the difference of a number and 1.

Back

3(n - 1) is the algebraic expression.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |−3| = 3.