Pre-Algebra Chapter 1-3 Quiz

Pre-Algebra Study Notes

Chapter 1: Fundamental Concepts

• Order of Operations (PEMDAS/BODMAS): Follow the order of operations (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to evaluate expressions correctly.
• Words to Expressions: Translate word phrases into mathematical expressions.
• Distributive Property: Multiply a number by a sum or difference. Example: a(b+c) = ab + ac
• Coordinate Graph: A two-dimensional graph with x and y axes used to plot points.

Chapter 2: Integer Operations and Exponents

• Integer Operations: Addition, subtraction, multiplication, and division of positive and negative integers.
• Exponents: Repeated multiplication of a number (base) by itself a certain number of times (exponent).
• Scientific Notation: A method for expressing very large or very small numbers.

Chapter 3: Factors, Fractions, and Number Sets

• Factors and Multiples: Identify factors and multiples of given numbers.
• Simplifying Fractions: Reduce fractions to their simplest form.
• Fractions to Decimals: Convert fractions to decimal representations.
• Operations with Fractions: Add, subtract, multiply, and divide fractions.
• Sets of Numbers: Understand different sets of numbers (natural numbers, integers, rational numbers, etc.).
• Square Roots: Find the square root of a number.

Chapter 4: Data Analysis and Graphs

• Frequency Tables: Organize data into tables to show the frequency of different values.
• Box and Whisker Plots: Visual representation of data to show the distribution, median, quartiles.
• Bar Graphs, Line Graphs, and Circle Graphs: Visual displays of data using different types of graphs.
• Histograms: A bar graph that shows the frequency distribution of data.

Chapter 4: Real-World Data and Equations

• Mean, Median, Mode, and Range: Measures of central tendency (average, middle value, most frequent value, and spread of data).
• Outliers: Data points that are significantly different from other data points.
• Correlation: Relationship between two data sets (correlation).

Chapter 5: Basic Geometry

• Basic Geometry Terms: Essential terms used in geometry (e.g., point, line, angle).
• Naming Triangles: Classify triangles based on sides (equilateral, isosceles, scalene) and angles (acute, obtuse, right).
• Angle Relationships with Parallel Lines: Understand properties of angles formed by parallel lines and transversals.
• Slope: Measure of the steepness of a line.
• Polygons: Name and calculate the measures of angles in polygons (triangle, quadrilaterals, etc.).

Solving Equations

• One-Step Equations: Use inverse operations to isolate the variable.
• Two-Step Equations: Use inverse operations to isolate the variable.
• Multiple-Step Equations (Distributive Property/ Like Terms): Solve equations with multiple steps, including those that involve the distributive property and combining like terms.
• Inequalities: Solve and graph inequalities.