Grade 7 Math - First Quarter Quiz

Sets: A collection of distinct objects considered as a whole. Important operations include union, intersection, and complement.
Union and Intersection:
- Union combines elements from two sets, represented as A ∪ B.
- Intersection shares common elements, represented as A ∩ B.
Complement of a Set: Refers to elements not in the set, noted as A'.
Problems Involving Set: Includes real-world applications and logic puzzles utilizing set operations.
Fundamental Operations on Integers: Involves addition, subtraction, multiplication, and division of whole numbers and their properties.
Properties of Integer Operations: Include commutative, associative, and distributive properties.
Rational Numbers: Numbers that can be expressed as fractions, represented on a number line to show their position.
Forms of Rational Numbers: Can be expressed in decimals or fractions; includes addition and subtraction rules.
Multiplication and Division of Rational Numbers: Rules and techniques for handling rational number operations.
Properties of Rational Numbers: Like integers, rational numbers obey similar properties in operations.
Principal Roots and Irrational Numbers:
- Principal roots are non-negative answers of a square root.
- Irrational numbers cannot be expressed as a simple fraction.
Absolute Value of a Number: The distance a number is from zero on the number line, always non-negative.

Subsets of Real Numbers: Includes natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
Significant Figures and Scientific Notation: Important for precision in measurements, using a format like a × 10^n.
Problems Involving Real Numbers: Practical applications in finance, science, and everyday calculations.
Measurement:
- Measuring length: Tools include rulers and tape measures.
- Measuring mass/weight: Commonly done using scales.
- Measuring volume: Employs measuring cups and graduated cylinders.
- Measuring angles: Utilizing protractors, and measuring time with clocks.
Constant and Variables: Constants are fixed values; variables represent changing values.
Algebraic Expressions: Combinations of numbers and variables, evaluated through operations.
Verbal vs. Mathematical Phrases: Translating word problems into algebraic expressions.
Polynomials: Expressions consisting of variables and coefficients; classified by degree and number of terms.
Laws of Exponents: Rules governing the operations of powers (e.g., a^m × a^n = a^(m+n)).
Fundamental Operations of Polynomials: Can include addition, subtraction, multiplication, and division.
Special Products: Recognizable forms such as the square of a binomial.

Solving Linear Equations: Methods of solving equations in one variable, including guess and check and algebraic techniques.
Solving Linear Inequalities: Relates to finding ranges of values rather than specific points.
Solving Absolute Value Equations: Involves considering both positive and negative solutions based on the definition of absolute value.

Basic Concepts and Terms of Geometry: Understanding shapes, dimensions, and properties of various geometric figures.
Angles: Measured in degrees; types include acute, right, obtuse, and straight angles.
Basic Constructions: Techniques using compass and straightedge to create geometric figures.
Polygons: Closed figures with straight sides; classified by the number of sides (triangles, quadrilaterals).
Triangles: Types include scalene, isosceles, and equilateral, each with unique properties.
Quadrilaterals: Four-sided figures like rectangles and trapezoids, each with specific attributes.
Circles: Understand terms like radius, diameter, circumference, and area.
Statistics: Involves collecting, analyzing, interpreting, and presenting data.
Organizing Data: Techniques include frequency tables and histograms for visual representation.
Averages:
- Mean: Average of data set.
- Median: Middle value in a sorted data set.
- Mode: Most frequently occurring value.
Analyzing Data: Techniques for interpreting graphical and tabular data presentations to draw conclusions.