Equations & Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What is an inequality?

Back

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

Front

How do you solve a simple linear equation?

Back

To solve a simple linear equation, isolate the variable on one side of the equation by performing inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

What is the solution to the inequality x - 4 < 2?

Back

x < 6.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, often using 'and' or 'or' to connect them.

Front

How do you graph an inequality on a number line?

Back

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

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

What is a real-world example of using inequalities?

Back

Determining how many hours a student can work while still having time to study.