True/False Equations and Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants, and is often represented with an equal sign (e.g., x + 2 = 5).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other, using symbols like >, <, ≥, or ≤.

Front

What does it mean for an equation to be true?

Back

An equation is true if the values of the variables make both sides of the equation equal when substituted into the equation.

Front

What does it mean for an inequality to be true?

Back

An inequality is true if the values of the variables satisfy the condition of the inequality, meaning one side is greater than or less than the other.

Front

How do you solve the equation 1/2y = 5?

Back

To solve for y, multiply both sides by 2: y = 5 * 2, so y = 10.

Front

How do you solve the equation k - 3 = 20?

Back

To solve for k, add 3 to both sides: k = 20 + 3, so k = 23.

Front

How do you solve the equation m + 5 = 6?

Back

To solve for m, subtract 5 from both sides: m = 6 - 5, so m = 1.

Front

How do you solve the inequality m + 5 < 6?

Back

To solve for m, subtract 5 from both sides: m < 6 - 5, so m < 1.

Front

How do you solve the equation 5h = 40?

Back

To solve for h, divide both sides by 5: h = 40 / 5, so h = 8.

Front

What is the solution set?

Back

The solution set is the set of all values that satisfy an equation or inequality.