1. Equations Containing Decimals
5.6
Equations Containing Decimals

2. Steps for Solving an Equation in x
Chapter 1 / Whole Numbers and Introduction to Algebra
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.

3. Steps for Solving an Equation in x
Chapter 1 / Whole Numbers and Introduction to Algebra
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.

4. Solving Equations with Decimals
Solve: –0.01(5a + 4) = 0.04 – 0.01(a + 4)
–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.
a = –1
Divide both sides by 4.