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 the inequality p - 3 > -8?

Back

Add 3 to both sides: p > -5.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions on a number line, using open or closed circles to indicate whether endpoints are included.

Front

When do you flip the inequality sign?

Back

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

Front

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

Back

An open circle indicates that the number is not included in the solution (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

How do you factor the expression 12x - 20?

Back

The factored form is 4(3x - 5).

Front

What is the result of (6x + 3y + 4) - (x + y - 5)?

Back

The result is 5x + 2y + 9.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable by performing inverse operations.