Algebra 2.1 The Addition Property Of Equality

Front 1

What is an equation?

Back 1

An equation is a statement that two algebraic expressions are equal

Front 2

Linear Equation in One Variable

Back 2

A linear equation in one variable can be written in form Ax = B = C, where A, B, and C are real numbers, with A not equal to 0.

Front 3

Solution of an Equation

Back 3

A solution of an equation is any replacement for the variable that makes the equation true.

Front 4

Solution Set

Back 4

The solution set is the set of all solutions of a particular equation.

Front 5

Equivalent Equations

Back 5

equations that have the same solution set.

Front 6

How are linear equations solved?

Back 6

a linear equation in x is solved by using a series of steps to produce a simplier equivalent equation of the form :

A = a number or a number = x

Front 7

Addition Property of Equality

Back 7

A = B and A + C = B + C are equivalent equations.

that is, we can add the same number to each side of an equation without changing the solution

Front 8

How to write a solution set?

Back 8

incorrect = { x = 23 }

correct = { 23 }

Front 9

Golden Rule of Equations

Back 9

Whatever you do to change the value of one side of an equation you must do to the other side.

a = b, then a+c = b+c

and, a - c = b - c

and, a x b = b x c

and, a / c = b / c

Front 10

Tip for moving the variable

Back 10

Recommend you take the variable to the side that will be positive.

Front 11

Caution when working with fractions!

Back 11

When working with fractions & variables make sure the variable is in the middle of the fraction 1/2x or outside (2/3)x