**Vocabulary**

bar diagram, model

**TEKS** 7(1)(E), 7(11)(A)

**Intro**

A bar diagram is a model that you can use to represent part-to-whole relationships. Consider the following situation:

A company has 5 samples to ship to a client. Each sample has the same weight. A box to ship them weighs 8 ounces before it is packed. The total weight of the shipment is 47 ounces.

You can make a bar diagram to represent this situation. Let *g* represent the weight of one sample.

So you can represent this situation with the equation 5*g* + 8 = 47.

**Example Using Bar Diagrams for Two-Step Equations**

You and your friend play online video games. You buy 1 software package and 3 months of game play. Your friend buys 1 software package and 2 months of game play. Each software package costs $20. The total cost is $115. Make a bar diagram to find the cost of one month of game play.

**Solution**

Let *x* = the cost of one month of game play.

The equation is 115 = 5*x* + 40.

Digits, Grade 7, Volume 1, Homework Helper
Unit A: Number and Operations
Math Symbols
Formulas Measures
Properties

Topic 1: Operations with Rational Numbers

Unit B: Expressions, Equations, and Relationships
- 1-1: Rational Numbers, Opposites, and Absolute Value
- 1-1: TEKS Practice
- 1-2: Adding Rational Numbers
- 1-2: TEKS Practice
- 1-3: Subtracting Rational Numbers
- 1-3: TEKS Practice
- 1-4: Multiplying Rational Numbers
- 1-4: TEKS Practice
- 1-5: Dividing Rational Numbers
- 1-5: TEKS Practice
- 1-6: Operations With Rational Numbers
- 1-6: TEKS Practice
- 1-7: Additional Problem Solving
- 1-7: TEKS Practice

Topic 2: Equations & Inequalities

Unit C: Measurement and Geometry
- 2-1: Solving Simple Equations
- 2-1: TEKS Practice
- 2-2: Writing Two-Step Equations
- 2-2: TEKS Practice
- 2-3: Solving Two-Step Equations
- 2-3: TEKS Practice
- 2-4: Solving Simple Inequalities
- 2-4: TEKS Practice
- 2-5: Solving Two-Step Inequalities
- 2-5: TEKS Practice
- 2-6: Writing Problem Situations
- 2-6: TEKS Practice
- 2-7: Additional Problem Solving
- 2-7: TEKS Practice

Topic 3: Angles
Topic 4: Circles
Topic 5: Surface Area and Volume

Unit D: Proportionality
- 3-1: Measuring Angles
- 3-1: TEKS Practice
- 3-2: Adjacent Angles
- 3-2: TEKS Practice
- 3-3: Complementary Angles
- 3-3: TEKS Practice
- 3-4: Supplementary Angles
- 3-4: TEKS Practice
- 3-5: Vertical Angles
- 3-5: TEKS Practice
- 3-6: Sum of the Angles in a Triangle
- 3-6: TEKS Practice
- 3-7: Additional Problem Solving
- 3-6: TEKS Practice

- 4-1: Center, Radius, and Diameter
- 4-1: TEKS Practice
- 4-2: Circumference of a Circle
- 4-2: TEKS Practice
- 4-3: Area of a Circle
- 4-3: TEKS Practice
- 4-4: Areas of Semicircles and Quarter Circles
- 4-4: TEKS Practice
- 4-5: Area of Composite Figures
- 4-5: TEKS Practice
- 4-6: Additional Problem Solving
- 4-6: TEKS Practice

Topic 6: Ratios and Rates
Topic 7: Proportional Relationships
Topic 8: Representing Linear Relationships
Topic 9: Percents

English/Spanish Glossary
Formulas
- 9-1: The Percent Equation
- 9-1: TEKS Practice
- 9-2: Using the Percent Equation
- 9-2: TEKS Practice
- 9-3: Simple Interest
- 9-3: TEKS Practice
- 9-4: Compound Interest
- 9-4: TEKS Practice
- 9-5: Percent Increase and Decrease
- 9-5: TEKS Practice
- 9-6: Markups and Markdowns
- 9-6: TEKS Practice
- 9-7: Additional Problem Solving
- 9-7: TEKS Practice