Expressions, Equations, & 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 using symbols such as <, >, ≤, or ≥.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to 'flip the inequality sign'?

Back

You flip the inequality sign when you multiply or divide both sides of an inequality by a negative number.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the number is included (≤ or ≥), while an open circle indicates that the number is not included (< or >).

Front

How do you represent a situation with an inequality?

Back

You can represent a situation with an inequality by identifying the variable, the relationship, and the constraints.

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 parentheses.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

What is the solution to the inequality 3x - 5 < 10?

Back

x < 5.