Expressions, Equations and Inequalities

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 an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power.

Front

How do you solve the inequality x + 3 < 5?

Back

Subtract 3 from both sides to get x < 2.

Front

What is the solution to the inequality 6 > x?

Back

The solution is x < 6.

Front

How do you combine the terms in the expression 7v + 2 + 12 + 2v?

Back

Combine like terms to get 9v + 14.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

What is the equivalent expression for 3(2c - 5)?

Back

The equivalent expression is 6c - 15.