Decimals in Linear Equations Help

Solving Equations with Decimals

Because decimal numbers are fractions in disguise, the same trick can be used to “clear the decimal” in equations with decimal numbers. Count the largest number of digits behind each decimal point and multiply both sides of the equation by 10 raised to the power of that number.

Examples

Decimals in Linear Equations Practice Problems

Practice

Solve for x after clearing the decimal. If your solution is a fraction, convert the fraction to a decimal.

1. 0.3( x – 2)+ 0.1 = 0.4

2. 0.12 – 0.4( x + 1)+ x = 0.5 x + 2

3. 0.015 x – 0.01 = 0.025 x + 0.2

4. 0.24(2 x – 3)+ 0.08 = 0.6( x + 8) – 1

5. 0.01(2 x + 3) – 0.003 = 0.11 x

Solutions

Practice problems for these concepts can be found at: Algebra Linear Equations Practice Test.