Questions and Answers
What is a numerical expression?
What does it mean to evaluate an expression?
To find the value of an expression.
The order of operations refers to the specific order in which operations in an expression are carried out: 1. ______, 2. Exponents, 3. Multiplication and Division, 4. Addition and Subtraction.
Parentheses
What is a variable?
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What is a variable expression?
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What is a power?
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What does an exponent indicate?
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What is the base in a power?
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What is an equation?
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What does it mean to solve an equation?
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What is a formula?
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What is perimeter?
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What is area?
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What are integers?
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What is absolute value?
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What is the additive identity property?
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What is the additive inverse property?
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What is the multiplication identity property?
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What is the mean?
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What is the commutative property of addition?
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What is the commutative property of multiplication?
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What is the associative property of addition?
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What is the associative property of multiplication?
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What is the distributive property?
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What are terms in an expression?
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What are like terms?
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What is a coefficient?
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What is a constant?
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What is a coordinate plane?
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What is an ordered pair?
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What is a quadrant?
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What are inverse operations?
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What does it mean to isolate the variable?
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What are equivalent equations?
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What is the base of a triangle?
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What is height in the context of a triangle?
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What is an inequality?
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What are equivalent inequalities?
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What is a prime number?
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Study Notes
Numerical Expressions and Operations
- A numerical expression consists of numbers and operations.
- To evaluate an expression is to find its value.
- Follow the order of operations for evaluations: parentheses, exponents, multiplication and division, addition and subtraction.
Variables and Expressions
- A variable is a letter representing one or more numbers.
- A variable expression contains numbers, variables, and operations.
- Like terms are terms with identical variable parts raised to the same power.
Powers and Roots
- A power is a number formed by repeated multiplication of the same factor.
- An exponent indicates how many times a number (the base) is multiplied by itself.
- The base is the number being multiplied in a power.
Equations and Solutions
- An equation is a mathematical sentence that states two expressions are equal.
- Solving an equation involves finding all its solutions.
- Equivalent equations have the same solution.
Geometric Concepts
- Perimeter is the total length of all sides of a polygon.
- The area of a shape is the number of square units needed to cover its surface.
- In triangles, the base is the bottom side, while the height is the perpendicular distance from the base to the opposite vertex.
Properties and Theorems
- The additive identity property states the sum of a number and zero is that number.
- The additive inverse property means a number plus its opposite equals zero.
- The multiplication identity property asserts that any number multiplied by one remains unchanged.
- Commutative properties allow for rearranging terms or factors in addition and multiplication without affecting the result.
Statistics and Number Types
- Mean is calculated by dividing the sum of values in a dataset by the number of values.
- Integers include positive and negative whole numbers and zero; fractions and decimals are excluded.
- An absolute value is the distance of a number from zero on the number line.
Coordinate Geometry
- The coordinate plane is divided into four quadrants by the x-axis (horizontal) and y-axis (vertical).
- An ordered pair (x, y) indicates a point's position on the coordinate plane.
- A quadrant refers to one of the four sections of the coordinate plane.
Inequalities
- An inequality compares two quantities using symbols like <, ≤, ≥, or ≠.
- Equivalent inequalities have the same solution.
Prime and Composite Numbers
- A prime number has exactly two factors: 1 and itself.
- A composite number has more than two factors.
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Description
This quiz features essential vocabulary for College Algebra. Each card provides a word along with its definition, helping students build a solid foundation in algebraic concepts. Ideal for review and self-assessment of key terms.