8MA - First Semester Review (all)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) is paired with exactly one output (y-value).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the number of solutions in an equation?

Back

To determine the number of solutions in an equation, simplify the equation and check if it leads to a true statement (infinitely many solutions), a false statement (no solution), or a specific value (one solution).

Front

What is a linear inequality?

Back

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What is the significance of the inequality sign?

Back

The inequality sign indicates the relationship between two expressions, showing whether one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side of the circle.