Solving Equations and Inequalities

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What does the Distributive Property state?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve the equation 4x + 2(x - 6) = 12?

Back

1. Distribute: 4x + 2x - 12 = 12; 2. Combine like terms: 6x - 12 = 12; 3. Add 12 to both sides: 6x = 24; 4. Divide by 6: x = 4.

Front

What does h ≥ 48 mean in context?

Back

It means that a person must be at least 48 inches tall to ride the bumper cars.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

1. Subtract 5 from both sides: x ≤ 8.

Front

What is the Substitution Property?

Back

If a = b, then b can be substituted for a in any expression.

Front

What is the Subtraction Property of Equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What is the solution to the equation 18 = 3b?

Back

b = 6.

Front

What does the expression h < 48 represent?

Back

It indicates that a person's height is less than 48 inches.