Untitled Quiz

Algebra 1 Vocabulary

• Absolute Value: Measures the distance from zero on the number line, ignoring direction.
• Coefficient: Numerical factor in a term that includes a variable.
• Constant: A fixed quantity that does not change.
• Counterexample: An example demonstrating that a conjecture is false.
• Equation: A mathematical statement asserting equality, denoted by an equal sign.
• Expression: A combination of numbers, variables, and operations without an equality sign.
• Evaluate: The process of substituting variables with specific numbers to simplify expressions.
• Inequality: A statement that compares two values, using symbols like <, ≤, ≥, or ≠.
• Integers: Whole numbers that can be positive, negative, or zero.
• Irrational Numbers: Numbers that cannot be written in fraction form (a/b), where both a and b are integers.
• Like Terms: Terms in an expression that share the same variable factors.
• Natural Numbers: Counting numbers, starting with 1 (i.e., 1, 2, 3...).
• Opposites: Pairs of numbers that are equidistant from zero on the number line but in opposite directions (e.g., -2 and 2).
• Real Numbers: The entire set of numbers, which includes rational and irrational numbers.
• Simplify: To reduce an expression to its most basic form.
• Term: A single component of an algebraic expression, which can be a number, variable, or a product of both.
• Variable: A symbol that represents an unknown value, often denoted as x or y.
• Whole Numbers: The set of non-negative integers including zero (0, 1, 2, 3...).
• Subtraction: The operation of removing a quantity, it can be viewed as adding the opposite.
• Base: The number being multiplied in repeated multiplication.
• Exponent: Indicates how many times the base is multiplied by itself.
• Prime Number: A natural number greater than 1 with no positive divisors other than itself and 1.
• Reciprocals: Pairs of numbers whose product equals 1.
• Coordinate Plane: Formed by the intersection of the x-axis (horizontal line) and the y-axis (vertical line).
• Quadrants: Four sections of the coordinate plane separated by the axes.
• Identity: An equation that holds true for all values of the variable.
• Solution: A statement that solves a given problem or explains the solving process.
• Inverse Operations: Operations that reverse each other's effects (e.g., addition and subtraction).
• Consecutive Integers: Integers that follow one another in order, differing by 1.
• Mean: The average value derived from the sum of values divided by their count.
• Median: The middle value in an ordered set of numbers.
• Mode: The most frequently occurring number in a data set.
• Range: The difference between the maximum and minimum values in a dataset.
• Composite Numbers: Whole numbers greater than 1 that have more than two factors.
• Factors: Numbers that multiply together to yield a product.
• Linear Equation: Represents a straight line when graphed, characterized by degree 1.
• Vertical Angles: Opposite angles formed when two lines intersect, they are equal.
• Solution of an Inequality: A value that makes the inequality a true statement when substituted.
• Compound Inequality: Combination of two or more inequalities linked by "and" or "or."
• Isosceles Triangle: A triangle with at least two sides of equal length.
• Scalene Triangle: A triangle where all sides have different lengths.
• Equilateral Triangle: A triangle with three equal sides.
• Absolute Value Equation: Results in a V-shaped graph, can point upward or downward.
• Ratio: A comparison of two quantities expressed as a division.
• Rate: A ratio comparing two different units.
• Unit Rate: A rate with a denominator of one.
• Proportion: An equation stating that two ratios are equal.
• Similar Figures: Figures that are similar in shape but may differ in size.
• Theoretical Probability: Calculated chance based on the ratio of favorable outcomes to possible outcomes.
• Experimental Probability: Probability determined through the performance of experiments.
• Relation: A collection of ordered pairs.
• Function: A specific type of relation where each input (domain) corresponds to exactly one output (range).
• Domain: The set of all first elements (input) in a relation.
• Range: The set of all second elements (output) in a relation.
• Function Notation: Symbolic representation of a function, typically using f(x) instead of y.
• Conjecture: A conclusion reached through inductive reasoning or observation.
• Direct Variation: The relationship expressed in the form y = kx, where k is a non-zero constant.
• Constant of Variation: The coefficient k in the direct variation equation.
• Independent Variable: The variable manipulated in an experiment; it is presumed to affect the dependent variable.
• Dependent Variable: The variable that responds to changes in the independent variable.
• Inductive Reasoning: Drawing general conclusions from specific observations or patterns.
• Sequence: An ordered list of numbers following a specific pattern or rule.
• Arithmetic Sequence: Each term is produced by adding a fixed value to the preceding term.
• Common Difference: The fixed number added each time in an arithmetic sequence.
• Rate of Change: Describes how one quantity changes in relation to another, also interpreted as the slope.
• Y-Intercept: The point where a line crosses the y-axis.
• Slope: Measures the steepness or incline of a line.
• Slope-Intercept Form: The form y = mx + b, where m is the slope and b is the y-intercept.
• Standard Form of a Linear Equation: Written as Ax + By = C, where A, B, and C are constants and A and B are not zero.
• X-Intercept: The x-coordinate at the point where the graph crosses the x-axis, where y = 0.
• Point-Slope Form: Expressed as y - y₁ = m(x - x₁).
• Parallel Lines: Lines in the same plane that do not intersect, always maintaining equal distance apart.
• Perpendicular Lines: Lines that cross to form right angles.
• Line of Best Fit: A trend line that visually represents the relationship between two datasets.
• Correlation Coefficient: A numerical measure that indicates how well a line models the data.
• Translation: Movement of a graph either horizontally, vertically, or both.