Justifying Solution to linear Equations in one variable.

Front

What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

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 Multiplication Property of Equality?

Back

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

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 it mean if an equation has 'One Solution'?

Back

There is exactly one value that satisfies the equation.

Front

What does it mean if an equation has 'No Solution'?

Back

There is no value that satisfies the equation.

Front

What does it mean if an equation has 'Infinite Solutions'?

Back

There are an infinite number of values that satisfy the equation.

Front

What is the Distributive Property?

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 the Commutative Property?

Back

The order in which you add or multiply numbers does not change the result; a + b = b + a and ab = ba.

Front

What is the Associative Property?

Back

The way in which numbers are grouped in addition or multiplication does not change their sum or product; (a + b) + c = a + (b + c) and (ab)c = a(bc).