**Vocabulary**

infinitely many solutions, no solution

**TEKS** 8(1)(D), Prepares for A1(5)(A)

**One Solution** A linear equation in one variable has one solution if only one value of the variable makes the equation true.

In this situation, you transform the original equation into simpler equivalent equations until the variable is alone on one side of the equal sign, and a number is alone on the other. For example:

**No Solution** A linear equation in one variable has *no solution* if no value of the variable makes the two sides of the equation equal.

You know that an equation has no solution when, as you solve for the variable, you get a false statement. For example:

The equation has no solution.

**Infinitely Many Solutions** A linear equation in one variable has *infinitely many solutions* if any value of the variable makes the two sides of the equation equal.

You know that an equation has *infinitely many solutions* when, as you solve for the variable, you get a true statement. For example:

The equation has infinitely many solutions.

Digits, Grade 8, Volume 2, Homework Helper
Unit D: Two-Dimensional Shapes
Unit E: Measurement and Data
Math Symbols
Formulas Measures
Properties

Topic 11: Scatter Plots
Topic 12: Samples

Unit F: Personal Financial Literacy
Unit G: Step-Up Lessons
- 11-1: Interpreting a Scatter Plot
- 11-1: TEKS Practice
- 11-2: Constructing a Scatter Plot
- 11-2: TEKS Practice
- 11-3: Investigating Patterns – Association
- 11-3: TEKS Practice
- 11-4: Linear Models – Fitting a Straight Line
- 11-4: TEKS Practice
- 11-5: Using the Equation of a Linear Model
- 11-5: TEKS Practice
- 11-6: Additional Problem Solving
- 11-6: TEKS Practice

Topic 15: Step-Up Lessons

English/Spanish Glossary
Formulas
- 15-1: Solving Equations Using the Distributive Property
- 15-1: TEKS Practice
- 15-2: Solutions – One, None, or Infinitely Many
- 15-2: TEKS Practice
- 15-3: Exponents and Multiplication
- 15-3: TEKS Practice
- 15-4: Exponents and Division
- 15-4: TEKS Practice
- 15-5: Operations with Numbers Expressed in Scientific Notation
- 15-5: TEKS Practice
- 15-6: Solving Simultaneous Linear Equations Using Addition
- 15-6: TEKS Practice
- 15-7: Solving Simultaneous Linear Equations Using Subtraction
- 15-7: TEKS Practice