Cycle 3 Review: Expressions, Equations, Inequalities

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 write an inequality from a graph?

Back

Identify the boundary point and determine if the region includes or excludes that point, then use the appropriate inequality symbol.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.

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 solution to the inequality 4 > x?

Back

The solution is all values of x that are less than 4.

Front

How do you combine like terms?

Back

Combine terms that have the same variable raised to the same power by adding or subtracting their coefficients.

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 a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.