**Vocabulary**

simultaneous linear equations

**TEKS** 8(1)(D), 8(9)

**System of Linear Equations**

One pencil and one marker cost $1.50. Two pencils and one marker cost $2.00. What are the cost of one pencil and the cost of one marker?

A **system of simultaneous linear equations** is two or more linear equations with the same two variables that are solved simultaneously.

The **solution of a system of simultaneous linear equations** is any ordered pair (*x*, *y*) that is a solution of every equation in the system.

The solution of the system is (0.5, 1), the values for the variables *p* and *m* that make both equations true.

The **solution of a system of simultaneous linear equations** is the point of intersection of the graphs of the lines defined by the equations.

Digits, Grade 8, Volume 1, Homework Helper
Unit A: Number and Operations
Math Symbols
Formulas Measures
Properties

Topic 1: Rational and Irrational Numbers

Unit B: Proportionality
- 1-1: Exploring Irrational Numbers
- 1-1: TEKS Practice
- 1-2: Approximating Irrational Numbers
- 1-2: TEKS Practice
- 1-3: Comparing and Ordering Rational and Irrational Numbers
- 1-3: TEKS Practice
- 1-4: Exploring Scientific Notation
- 1-4: TEKS Practice
- 1-5: Using Scientific Notation to Describe Very Large Quantities
- 1-5: TEKS Practice
- 1-6: Additional Problem Solving
- 1-6: TEKS Practice

Topic 2: Proportional Relationships, Lines, and Linear Equations
Topic 3: Defining and Comparing Functions

Unit C: Expressions, Equations, and Relationships
- 2-1: Representing Proportional Relationships
- 2-1: TEKS Practice
- 2-2: Linear Equations: y = mx
- 2-2: TEKS Practice
- 2-3: The Slope of a Line
- 2-3: TEKS Practice
- 2-4: Unit Rates and Slope
- 2-4: TEKS Practice
- 2-5: The y-intercept of a Line
- 2-5: TEKS Practice
- 2-6: Linear Equations: y = mx + b
- 2-6: TEKS Practice
- 2-7: Distinguishing Between Proportional and Non-Proportional Situations
- 2-7: TEKS Practice
- 2-8: Additional Problem Solving
- 2-8: TEKS Practice

Topic 4: Using the Pythagorean Theorem
Topic 5: Surface Area and Volume
Topic 6: Linear Equations in One Variable
Topic 7: Reasoning in Geometry
Topic 8: Simultaneous Linear Equations

English/Spanish Glossary
Formulas
- 7-1: Angles, Lines, and Transversals
- 7-1: TEKS Practice
- 7-2: Reasoning and Parallel Lines
- 7-2: TEKS Practice
- 7-3: Interior Angles of Triangles
- 7-3: TEKS Practice
- 7-4: Exterior Angles of Triangles
- 7-4: TEKS Practice
- 7-5: Angle–Angle Triangle Similarity
- 7-5: TEKS Practice
- 7-6: Additional Problem Solving
- 7-6: TEKS Practice

- 8-1: What are Simultaneous Linear Equations in Two Variables?
- 8-1: TEKS Practice
- 8-2: Estimating Solutions of Simultaneous Linear Equations by Inspection
- 8-2: TEKS Practice
- 8-3: Solving Simultaneous Linear Equations by Graphing
- 8-3: TEKS Practice
- 8-4: Solving Simultaneous Linear Equations Using Substitution
- 8-4: TEKS Practice
- 8-5: Additional Problem Solving
- 8-5: TEKS Practice