**Vocabulary**

rate, ratio, unit price, unit rate

**TEKS** 7(1)(D), 7(4)(B)

A **rate** is a ratio that compares quantities measured in different units. A **unit rate** is the rate for one unit of a given quantity. When a unit rate is written as a fraction, the denominator is 1 unit. The 1 in a unit rate is read as “per.”

If a car travels 120 mi on 4 gal of gasoline, then the rate is

The unit rate is

**TEKS** 7(1)(D), 7(4)(B)

**Example Finding Unit Rates**

A lobster molts, or sheds its shell, 20 times over a period of 5 years. How many times per year does the lobster molt?

**Solution**

The ratio of the number of molts to the number of years is

The unit rate is

The lobster molts 4 times per year.

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