Podcast
Questions and Answers
What is a bar graph?
What is a bar graph?
- A graph that displays percentages
- A circular graph
- A type of graph in which the lengths of bars represent data (correct)
- A graph that uses lines to show trends
What is a frequency table?
What is a frequency table?
A table that lists items together according to their intervals and frequency.
What distinguishes a histogram from a bar graph?
What distinguishes a histogram from a bar graph?
- Histograms have bars that touch each other (correct)
- Histograms use lines instead of bars
- Histograms always have a circular shape
- Histograms represent categorical data
What does a numerical expression consist of?
What does a numerical expression consist of?
What does it mean to evaluate an expression?
What does it mean to evaluate an expression?
What is the order of operations?
What is the order of operations?
What is a variable?
What is a variable?
What is a variable expression?
What is a variable expression?
What is a power?
What is a power?
What does an exponent indicate?
What does an exponent indicate?
What is a base in terms of powers?
What is a base in terms of powers?
What is an equation?
What is an equation?
What does solving an equation involve?
What does solving an equation involve?
What is a formula?
What is a formula?
What is perimeter?
What is perimeter?
What is area?
What is area?
What are integers?
What are integers?
What is absolute value?
What is absolute value?
What is the additive identity property?
What is the additive identity property?
What is the additive inverse property?
What is the additive inverse property?
What is the multiplication identity property?
What is the multiplication identity property?
What is mean?
What is mean?
What does the commutative property of addition state?
What does the commutative property of addition state?
What does the commutative property of multiplication state?
What does the commutative property of multiplication state?
What is the associative property of addition?
What is the associative property of addition?
What is the associative property of multiplication?
What is the associative property of multiplication?
What is the distributive property?
What is the distributive property?
What are terms in an expression?
What are terms in an expression?
What are like terms?
What are like terms?
What is a coefficient?
What is a coefficient?
What is a constant?
What is a constant?
What is a coordinate plane?
What is a coordinate plane?
What is an ordered pair?
What is an ordered pair?
What is a quadrant in the coordinate plane?
What is a quadrant in the coordinate plane?
What is an inverse operation?
What is an inverse operation?
What does it mean to isolate the variable?
What does it mean to isolate the variable?
What are equivalent equations?
What are equivalent equations?
What is the base of a triangle?
What is the base of a triangle?
What is height in terms of triangles?
What is height in terms of triangles?
Study Notes
Graphical Representations
- Bar Graph: Uses lengths of bars to represent and compare categorical data.
- Frequency Table: Lists items according to their frequency, showing how often they occur.
- Histogram: A specific type of bar graph where bars touch and represent grouped data frequencies.
Mathematical Expressions
- Numerical Expression: Combines numbers and operations (e.g., addition, subtraction).
- Evaluate: The process of finding the value of an expression.
- Variable: A letter or symbol representing one or more numbers in expressions or equations.
- Variable Expression: An expression consisting of numbers, variables, and operations.
Exponential Terms
- Power: A number formed from repeated multiplication of a base.
- Exponent: Indicates how many times a base is multiplied by itself.
- Base: The number that is raised to a power.
Equations and Relationships
- Equation: A mathematical statement with an equal sign showing two expressions are equal.
- Solving an Equation: The process of determining all possible values that satisfy the equation.
- Formula: An equation that delineates the relationship between two or more quantities.
Geometric Concepts
- Perimeter: The total length of the sides of a polygon.
- Area: The measure of the surface enclosed by a shape, quantified in square units.
Number Types and Properties
- Integers: Whole numbers including positives, negatives, and zero; not fractions or decimals.
- Absolute Value: The distance of a number from zero on the number line, denoted as |n|.
Identity and Inverse Properties
- Additive Identity Property: The result of adding zero to any number is the number itself.
- Additive Inverse Property: The sum of a number and its opposite (negative) equals zero.
- Multiplication Identity Property: The product of any number and one is that number itself.
Statistical Concepts
- Mean: The average of a data set, calculated by dividing the sum of values by the number of values.
Properties of Operations
- Commutative Property of Addition: The order of terms in addition can be changed without affecting the sum.
- Commutative Property of Multiplication: Changing the order of factors in multiplication does not alter the product.
- Associative Property of Addition: Rearranging the grouping of addends does not change the result.
- Associative Property of Multiplication: Changing the grouping of factors does not affect the product.
- Distributive Property: Combining multiplication with addition, e.g., a(b + c) = ab + ac.
Expression Components
- Terms: Components of an expression separated by addition or subtraction.
- Like Terms: Terms that have identical variable parts raised to the same power.
- Coefficient: A numerical factor in front of a variable.
- Constant: A term without a variable that does not change.
Coordinate Geometry
- Coordinate Plane: Divided into four quadrants by the x-axis (horizontal) and y-axis (vertical).
- Ordered Pair: A pair of numbers (x, y) that specifies a location on the coordinate plane.
- Quadrant: Each of the four sections created by the intersection of the x and y axes.
Algebra Techniques
- Inverse Operation: Operations that reverse each other, such as addition and subtraction.
- Isolate the Variable: The process of getting a variable alone on one side of an equation for solving purposes.
- Equivalent Equations: Equations that yield the same solution.
Triangle Dimensions
- Base: The bottom side of a triangle used for calculating area.
- Height: The distance from the base to the top point of a triangle, measured perpendicularly.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on key definitions in Algebra 1 with these flashcards. Each card presents a term along with its precise definition, focusing on fundamental concepts like bar graphs, frequency tables, and histograms. Perfect for review and reinforcement of algebra terminology.
