Questions and Answers
What is the sum of 1 and 1?
2
What is the difference when 20 is subtracted by 2?
18
What is the product of 4 and 4?
16
What is the quotient of 12 divided by 4?
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The result of 2 (x+3) can be expressed as 2x + _____.
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What does the Associative Property state?
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What does the Commutative Property indicate?
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What is the Identity Property?
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What does P.E.M.D.A.S stand for?
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An algebraic expression is an expression that does not contain an equal sign, such as _____.
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What describes an algebraic equation?
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What do ordered pairs represent on a graph?
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What is a coordinate in a quadrant?
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What do negative number operations include?
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What is the absolute value of -2?
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Simplifying expressions can be done using variables, fractions, or normal expressions to get _____.
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What does solving equations involve?
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When adding mixed numbers, 2/3 + 2/3 equals _____.
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What is a formula for calculating area?
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What does an exponent represent?
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What is scientific notation used for?
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What does the metric system include?
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Study Notes
Algebraic Foundations Vocabulary
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Sum: Result of addition. Example: 1 + 1 = 2. Related IXL: 3rd Grade C.1-C.16.
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Difference: Result of subtraction. Example: 20 - 2 = 18. Related IXL: 3rd Grade D.1-D.9.
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Product: Result of multiplication. Example: 4 x 4 = 16. Related IXL: 3rd Grade E.1-E.17.
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Quotient: Result of division. Example: 12 ÷ 4 = 3. Related IXL: 3rd Grade G.1-G.15.
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Distributive Property: Distributes multiplication over addition. Example: 2(x + 3) = 2x + 6. Related IXL: 3rd Grade J.7-J.8 & Algebra 1 H.2.
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Associative Property: Changing the grouping of numbers does not affect the sum or product. Example: 2 + (2 + 3) = (2 + 3) + 2.
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Commutative Property: Order of numbers does not affect the sum or product. Example: 2 + 3 = 3 + 2.
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Identity Property: Adding 0 or multiplying by 1 keeps the number unchanged. Example: 4 + 0 = 4 or 4 x 1 = 4.
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Order of Operations (P.E.M.D.A.S.): Sequence of operations: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Example: (4 + 2) x 7 - (-4 - 1). Related IXL: Algebra 1 I.6 and B.2.
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Algebraic Expressions: Expressions without equal signs that cannot be solved directly. Example: 3x + 20n - 5x.
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Algebraic Equations: Equations containing an equal sign that can be solved. Example: 3x + 2 = 11 yields x = 3.
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Ordered Pairs: Coordinates representing points on a graph, denoted as (X, Y).
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Coordinate: A specific position within a quadrant defined by (X, Y) values.
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Negative Number Operations: Includes adding, subtracting, multiplying, and dividing negative numbers. Example: -3 + 2.
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Absolute Value: The magnitude of a number regardless of its sign, indicating distance from zero. Example: | -2 | = 2.
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Simplifying Expressions: Making mathematical expressions easier to interpret. Example: 3x * 2x = 6x.
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Solving Equations: Involves applying various methods (one-step, two-step, multi-step) to find variable values, including handling absolute values, decimals, and fractions.
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Fraction Operations: Involves adding, subtracting, multiplying, and dividing fractions, including mixed numbers. Example: 2/3 + 2/3 = 4/3 or 1 and 1/3.
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Formulas: Mathematical functions related to geometry and distance:
- Perimeter: Sum of all sides.
- Area: A = lw (length x width).
- Distance: d = rt (rate x time).
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Exponents: An exponent indicates how many times a base is multiplied by itself. Example: 2 cubed (2³).
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Scientific Notation: A way to express very large or small numbers by multiplying by a power of ten. Example: 0.098 = 9.8 x 10².
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Metric System: A standardized measurement system that includes units for length, mass, and volume.
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Test your knowledge of fundamental algebraic terms and concepts with these flashcards. Each card provides a key vocabulary word along with its definition and an example. Perfect for reinforcing your understanding of addition, subtraction, and multiplication in algebra.