Solving One-Step Equations

SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with

rational coefficients numerically, algebraically and graphically

Students will be able to solve one- step equations.

Equations and Inequalities 2FHS

Rules for Solving Equations• We need to always remember that an equation is

like a balance scale.• Whatever we do to one side of the equal

sign, we must do to the other side.

x + 2 = 5 x = 3

= – 2 – 2

Equations and Inequalities 3FHS

Rules for Solving Equations• We can add, subtract, multiply, or divide both sides

of the equal sign by the same number.

• We want to perform the opposite operation from the one shown in the problem.

• The opposite of adding is

• The opposite of subtracting is

• The opposite of multiplying is

• And the opposite of dividing is

subtracting

adding

dividing

multiplying

Equations and Inequalities 4FHS

Solving Equations• Here are some examples:

x + 4 = 5 – 4 = – 4 x = 1

x – 2 = 3 + 2 = +2 x = 5

3x = 15 3 3 x = 5

45

x

5 4 55

x

20x