Algebra Foundations Vocabulary Flashcards

Questions and Answers

What is the sum of 1 and 1?

What is the difference when 20 is subtracted by 2?

What is the product of 4 and 4?

What is the quotient of 12 divided by 4?

3 Signup and view all the answers

The result of 2 (x+3) can be expressed as 2x + _____.

6 Signup and view all the answers

What does the Associative Property state?

Grouping does not change the result of addition or multiplication. Signup and view all the answers

What does the Commutative Property indicate?

The order of addition or multiplication does not affect the result. Signup and view all the answers

What is the Identity Property?

A number added to 0 or multiplied by 1 remains the same. Signup and view all the answers

What does P.E.M.D.A.S stand for?

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Signup and view all the answers

An algebraic expression is an expression that does not contain an equal sign, such as _____.

3x + 20n - 5x + 12n Signup and view all the answers

What describes an algebraic equation?

An equation that contains an equal sign. Signup and view all the answers

What do ordered pairs represent on a graph?

Coordinates on the X and Y axes. Signup and view all the answers

What is a coordinate in a quadrant?

A pair of values indicating a specific location on a graph. Signup and view all the answers

What do negative number operations include?

Adding, Subtracting, Multiplying, and Dividing Negative Numbers. Signup and view all the answers

What is the absolute value of -2?

2 Signup and view all the answers

Simplifying expressions can be done using variables, fractions, or normal expressions to get _____.

6x Signup and view all the answers

What does solving equations involve?

Using steps in order of operations and algebraic methods. Signup and view all the answers

When adding mixed numbers, 2/3 + 2/3 equals _____.

4/3 or 1 and 1/3 Signup and view all the answers

What is a formula for calculating area?

Area = length x width Signup and view all the answers

What does an exponent represent?

How many times a number is multiplied by itself. Signup and view all the answers

What is scientific notation used for?

To express large or small numbers using powers of ten. Signup and view all the answers

What does the metric system include?

Units like meters, liters, and grams for measurement. Signup and view all the answers

Study Notes

Algebraic Foundations Vocabulary

Sum: Result of addition. Example: 1 + 1 = 2. Related IXL: 3rd Grade C.1-C.16.
Difference: Result of subtraction. Example: 20 - 2 = 18. Related IXL: 3rd Grade D.1-D.9.
Product: Result of multiplication. Example: 4 x 4 = 16. Related IXL: 3rd Grade E.1-E.17.
Quotient: Result of division. Example: 12 ÷ 4 = 3. Related IXL: 3rd Grade G.1-G.15.
Distributive Property: Distributes multiplication over addition. Example: 2(x + 3) = 2x + 6. Related IXL: 3rd Grade J.7-J.8 & Algebra 1 H.2.
Associative Property: Changing the grouping of numbers does not affect the sum or product. Example: 2 + (2 + 3) = (2 + 3) + 2.
Commutative Property: Order of numbers does not affect the sum or product. Example: 2 + 3 = 3 + 2.
Identity Property: Adding 0 or multiplying by 1 keeps the number unchanged. Example: 4 + 0 = 4 or 4 x 1 = 4.
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.
Algebraic Expressions: Expressions without equal signs that cannot be solved directly. Example: 3x + 20n - 5x.
Algebraic Equations: Equations containing an equal sign that can be solved. Example: 3x + 2 = 11 yields x = 3.
Ordered Pairs: Coordinates representing points on a graph, denoted as (X, Y).
Coordinate: A specific position within a quadrant defined by (X, Y) values.
Negative Number Operations: Includes adding, subtracting, multiplying, and dividing negative numbers. Example: -3 + 2.
Absolute Value: The magnitude of a number regardless of its sign, indicating distance from zero. Example: | -2 | = 2.
Simplifying Expressions: Making mathematical expressions easier to interpret. Example: 3x * 2x = 6x.
Solving Equations: Involves applying various methods (one-step, two-step, multi-step) to find variable values, including handling absolute values, decimals, and fractions.
Fraction Operations: Involves adding, subtracting, multiplying, and dividing fractions, including mixed numbers. Example: 2/3 + 2/3 = 4/3 or 1 and 1/3.
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).
Exponents: An exponent indicates how many times a base is multiplied by itself. Example: 2 cubed (2³).
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.
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.