1. Equations Containing Decimals
Chapter 1 / Whole Numbers and Introduction to Algebra
Section 5.6
Equations Containing Decimals

2. Steps for Solving an Equation in x
Chapter 1 / Whole Numbers and Introduction to Algebra
Steps for Solving an Equation in x
Step 1. If fractions are present, multiply both sides of the equation by the LCD of the fractions.
Step 2. If parentheses are present, use the distributive property.
Step 3. Combine any like terms on each side of the equation.
Martin-Gay, Prealgebra, 5ed

3. Steps for Solving an Equation . . .
Chapter 1 / Whole Numbers and Introduction to Algebra
Steps for Solving an Equation . . .
Step 4. Use the addition property of equality to rewrite the equation so that variable terms are on one side of the equation and constant terms are on the other side.
Step 5. Divide both sides by the numerical coefficient of x to solve.
Step 6. Check the answer in the original equation.
Martin-Gay, Prealgebra, 5ed

4. Solving Equations with Decimals
– 0.01(5a + 4) = 0.04 – 0.01(a + 4)
– 1(5a + 4) = 4 – 1(a + 4)
Multiply both sides by 100.
– 5a – 4 = 4 – a – 4
Apply the distributive property.
– 4a – 4 = 4 – 4
Add a to both sides.
– 4a = 4
Add 4 to both sides and simplify.
a = – 1
Divide both sides by 4.