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Questions and Answers
Questions and Answers
What are positive numbers?
What are positive numbers?
- Numbers less than zero
- Numbers that can be expressed as fractions
- Numbers that are part of the set {0, 1, 2,...}
- Numbers greater than zero (correct)
What are negative numbers?
What are negative numbers?
- Numbers that can be expressed as fractions
- Numbers that are part of the set {1, 2, 3,...}
- Numbers less than zero (correct)
- Numbers greater than zero
Natural numbers are defined as which set?
Natural numbers are defined as which set?
- The set of all rational numbers
- The set {..., -3, -2, -1, 0, 1, 2, 3,...}
- The set {0, 1, 2,...}
- The set {1, 2, 3,...} (correct)
What are whole numbers?
What are whole numbers?
What are integers?
What are integers?
What are rational numbers?
What are rational numbers?
What is a square root?
What is a square root?
What is a perfect square?
What is a perfect square?
What are irrational numbers?
What are irrational numbers?
What are real numbers?
What are real numbers?
What is absolute value?
What is absolute value?
What are opposites?
What are opposites?
What are additive inverses?
What are additive inverses?
The product of two positive numbers is a _____
The product of two positive numbers is a _____
The product of two negative numbers is a _____
The product of two negative numbers is a _____
The product of a positive and a negative is a ____
The product of a positive and a negative is a ____
What are reciprocals?
What are reciprocals?
What is the multiplicative inverse?
What is the multiplicative inverse?
What is percent?
What is percent?
What is the formula for the perimeter of a rectangle?
What is the formula for the perimeter of a rectangle?
What is the formula for the perimeter of a square?
What is the formula for the perimeter of a square?
The perimeter of a triangle is _____
The perimeter of a triangle is _____
What is the circumference of a circle?
What is the circumference of a circle?
What is the area of a rectangle?
What is the area of a rectangle?
What is the area of a triangle?
What is the area of a triangle?
What is an algebraic expression?
What is an algebraic expression?
What are variables?
What are variables?
What are factors?
What are factors?
What is the product in mathematics?
What is the product in mathematics?
What is an exponent?
What is an exponent?
What is the base in an expression?
What is the base in an expression?
What is the sum in mathematics?
What is the sum in mathematics?
What is the difference in mathematics?
What is the difference in mathematics?
What is quotient?
What is quotient?
What is the order of operations?
What is the order of operations?
What are equivalent expressions?
What are equivalent expressions?
What is the additive identity?
What is the additive identity?
What is the multiplicative identity?
What is the multiplicative identity?
What is the multiplicative property of zero?
What is the multiplicative property of zero?
What is the commutative property of addition?
What is the commutative property of addition?
What is the commutative property of multiplication?
What is the commutative property of multiplication?
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 like terms?
What are like terms?
What is simplest form?
What is simplest form?
What is a coefficient?
What is a coefficient?
What is a solution in algebra?
What is a solution in algebra?
What is the coordinate plane?
What is the coordinate plane?
What is the y-axis?
What is the y-axis?
What is the x-axis?
What is the x-axis?
What is the origin of the coordinate plane?
What is the origin of the coordinate plane?
What is an ordered pair?
What is an ordered pair?
What is the x-coordinate?
What is the x-coordinate?
What is the y-coordinate?
What is the y-coordinate?
What is a relation in mathematics?
What is a relation in mathematics?
What is the domain of a relation?
What is the domain of a relation?
What is the range of a relation?
What is the range of a relation?
What is a function?
What is a function?
What is the y-intercept?
What is the y-intercept?
What is the x-intercept?
What is the x-intercept?
What is end behavior in mathematics?
What is end behavior in mathematics?
What are equivalent equations?
What are equivalent equations?
What is the addition property of equality?
What is the addition property of equality?
What is the subtraction property of equality?
What is the subtraction property of equality?
What is the multiplication property of equality?
What is the multiplication property of equality?
What are consecutive integers?
What are consecutive integers?
What is a ratio?
What is a ratio?
What is proportion?
What is proportion?
What is a linear equation?
What is a linear equation?
What is slope?
What is slope?
What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
What does 'm' represent in the slope-intercept form?
What does 'm' represent in the slope-intercept form?
What does 'b' represent in the slope-intercept form?
What does 'b' represent in the slope-intercept form?
What is point-slope form?
What is point-slope form?
What are parallel lines?
What are parallel lines?
What are perpendicular lines?
What are perpendicular lines?
What is inequality?
What is inequality?
What does '<' represent?
What does '<' represent?
What does '>' represent?
What does '>' represent?
A monomial has ______ term(s)
A monomial has ______ term(s)
What is a constant?
What is a constant?
To multiply two powers that have the same bases, you _____ their exponents.
To multiply two powers that have the same bases, you _____ their exponents.
To divide two powers that have the same bases, you _____ their exponents.
To divide two powers that have the same bases, you _____ their exponents.
To find the power of a power, you _____ the exponents.
To find the power of a power, you _____ the exponents.
Questions and Answers
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Flashcards
Flashcards
Positive Number
Positive Number
A number greater than zero.
Negative Number
Negative Number
A number less than zero.
Natural Number
Natural Number
Counting numbers: {1, 2, 3, ...}.
Whole Number
Whole Number
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Integer
Integer
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Rational Number
Rational Number
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Irrational Number
Irrational Number
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Real Number
Real Number
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Square Root
Square Root
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Perfect Square
Perfect Square
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Absolute Value
Absolute Value
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Opposites
Opposites
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Additive Inverses
Additive Inverses
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Reciprocals
Reciprocals
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Order of Operations
Order of Operations
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Algebraic Expression
Algebraic Expression
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Variable
Variable
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Factor
Factor
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Exponent
Exponent
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Coefficient
Coefficient
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Sum
Sum
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Difference
Difference
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Perimeter of a rectangle
Perimeter of a rectangle
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Perimeter of a Square
Perimeter of a Square
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Flashcards
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Study Notes
Study Notes
Types of Numbers
- Positive Numbers: Greater than zero.
- Negative Numbers: Less than zero.
- Natural Numbers: Set of numbers {1, 2, 3,...}.
- Whole Numbers: Set of numbers {0, 1, 2,...}.
- Integers: Set including {..., -3, -2, -1, 0, 1, 2, 3,...}.
- Rational Numbers: Can be expressed in the form a/b, with b ≠ 0.
- Irrational Numbers: Cannot be expressed as terminating or repeating decimals.
- Real Numbers: Combination of rational and irrational numbers.
Square Roots and Related Concepts
- Square Root: One of two equal factors of a number.
- Perfect Square: A number with a rational square root.
Number Properties
- Absolute Value: Distance of a number from zero.
- Opposites: Two numbers with the same absolute value, different signs.
- Additive Inverses: A number and its opposite.
Multiplication Properties
- Product of two positive numbers: Positive.
- Product of two negative numbers: Positive.
- Product of a positive and a negative number: Negative.
- Reciprocals: Two numbers whose product equals 1.
Geometry Formulas
- Perimeter of a Rectangle: P = 2L + 2W.
- Perimeter of a Square: P = 4s.
- Perimeter of a Triangle: P = a + b + c.
- Area of a Rectangle: A = L x W.
- Area of a Triangle: A = 1/2 x b x h.
Algebra Basics
- Algebraic Expression: Combination of numbers, variables, and operations.
- Variables: Symbols representing unknown values.
- Factors: Quantities multiplied in a multiplication expression.
- Exponents: Indicate how many times a number is used as a factor.
- Coefficients: Numerical factor of a term.
Operations and Properties
- Sum: Result of addition.
- Difference: Result of subtraction.
- Quotient: Result of division.
- Order of Operations: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS).
- Equivalent Expressions: Represent the same number.
Properties of Addition and Multiplication
- Additive Identity: Any number plus zero equals the number.
- Multiplicative Identity: Any number times one equals the number.
- Multiplicative Property of Zero: Any number times zero equals zero.
- Commutative Property: The sum/product remains the same regardless of the order.
- Associative Property: Grouping does not change the sum/product.
- Distributive Property: a(b + c) = ab + ac.
Coordinate Geometry
- Coordinate Plane: Formed by the intersection of two number lines.
- Axes: X-axis (horizontal), Y-axis (vertical).
- Origin: Intersection point of the axes.
- Ordered Pair: Represents a point (x, y).
- Domain: Set of x-coordinates.
- Range: Set of y-coordinates.
Functions and Slopes
- Function: Each domain element paired with one range element.
- Slope: Rate of change in linear equations.
- Slope-Intercept Form: y = mx + b; "m" is slope, "b" is y-intercept.
Lines and Graphs
- Parallel Lines: Same slope.
- Perpendicular Lines: Negative reciprocal slopes.
- Correlation in Scatter Plots: Positive, negative, or none indicate relationship strength.
Inequalities
- Inequality: Two expressions compared using inequality symbols (<, >, ≤, ≥, ≠).
Algebraic Structures
- Monomial: One term.
- Constant: A real number with no variables.
- Exponential Rules:
- Multiplying powers with same bases: Add exponents.
- Dividing powers with same bases: Subtract exponents.
- Power of a power: Multiply exponents.
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