Get Qvcc Mathematics Linear Equations Addition Property

Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 ‍ . Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) ‍ .

The addition property of equality states that adding the same quantity on both sides of an equation produces equivalent results. For example, 2 = 1+1 is an equation because both the right and the left-hand sides of the equal sign represent the number 2.

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation. For example, 2 = 1+1 is an equation because both the right and the left-hand sides of the equal sign represent the number 2.

A one-step linear equation is a linear equation which can be solved in only one step. The Additive Property of Equality: The additive property of equality, or additive property for short, states that the same number can be added to both sides of an equation without changing the truth of the equation.

ADDITION PROPERTY OF EQUALITY- for any real numbers a, b, and c, If a = b, then a + c = b + c This property will be used when solving linear equations.

You can manipulate the equation in this way because of equality properties: If a = b, then a + c = b + c. If a = b, then a – c = b – c. If a = b, then ac = bc. If a = b, then a ÷ c = b ÷ c (so long as c ≠ 0).

To solve linear equations, find the value of the variable that makes the equation true. Use the inverse of the number that multiplies the variable, and multiply or divide both sides by it. Simplify the result to get the variable value. Check your answer by plugging it back into the equation.