Algebra 1 EOC Florida Flashcards

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Questions and Answers

What does 'Algebraic Base' refer to?

The number or variable raised to a power (correct)

The complete list of x-values of a relation

A line drawn on a scatterplot

A mathematical expression that describes a pattern

A 'Compound Inequality' combines two inequality statements using which words?

Plus or Minus

More or Less

If and Then

And or Or (correct)

What does 'Domain' refer to in a relation or function?

The equation describing the relation

The complete list of x-values (correct)

The list of all y-values

The output of the function

What is an 'Irrational Number'?

Numbers like pi or square roots that cannot be expressed as fractions Signup and view all the answers

What does it mean to 'Evaluate' an expression?

Use order of operations to find the value of the expression. Signup and view all the answers

Define 'Polynomial'.

The sum or difference of two or more monomials. Signup and view all the answers

What does 'Absolute Value' represent?

The distance of a number from zero Signup and view all the answers

What is a 'Line of Best Fit'?

A line drawn on a scatterplot to best represent a set of data. Signup and view all the answers

What is a 'Quadrant' in the coordinate system?

Any of the four regions formed by the coordinate system. Signup and view all the answers

What is a 'Y-intercept'?

The value of y where a graph crosses the y-axis. Signup and view all the answers

Define 'Arithmetic Sequence'.

An ordered list of numbers that increase or decrease at a constant value. Signup and view all the answers

What does 'Slope' refer to in a coordinate plane?

The change in y divided by the change in x; variable m. Signup and view all the answers

What is a 'Rule' in mathematics?

A mathematical expression that describes a pattern. Signup and view all the answers

What does it mean to 'Extrapolate'?

To estimate a value or quantity beyond the known range of data. Signup and view all the answers

What are 'Perpendicular Slopes'?

Slopes that are opposite reciprocals. Signup and view all the answers

What is 'Factoring' in algebra?

Writing an algebraic expression as a product of two expressions. Signup and view all the answers

What is a 'System of Linear Equations'?

All of the above Signup and view all the answers

What does 'Range' refer to?

A complete set of y-values of a function. Signup and view all the answers

Define 'Extraneous Solution'.

Math solutions not necessary to solve the problem. Signup and view all the answers

What is the 'Associative Property'?

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

What is the 'Commutative Property'?

Adding or multiplying values in any order does not affect the value Signup and view all the answers

What does 'Difference' mean in mathematics?

Answer to subtraction. Signup and view all the answers

What is 'Point-Slope Form' of a linear equation?

Y - Y1 = m (X - X1) Signup and view all the answers

What does 'Union of Sets' mean?

The set of elements that are in set A or in Set B or in both sets. Signup and view all the answers

What is a 'Venn Diagram'?

A diagram that shows relationships among sets of objects. Signup and view all the answers

What does 'Quotient' refer to?

Answer to division. Signup and view all the answers

What is the 'Distributive Property'?

The product of a number and the sum or difference of two numbers equals the sum or difference of the two products. Signup and view all the answers

What does the 'Order of Operations' acronym PEMDAS stand for?

Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right. Signup and view all the answers

Define the 'Complement of a Set A'.

The set of all elements that are not in set A. Signup and view all the answers

What is a 'Coordinate Plane'?

X and y axis that are used to display functions and data. Signup and view all the answers

What is a 'Literal Equation'?

An equation involving two or more variables. Signup and view all the answers

What are 'Whole Numbers'?

{0, 1, 2, 3, 4, ...} Signup and view all the answers

Define 'Proportion'.

A mathematical equation that says two ratios are equal. Signup and view all the answers

What is the 'Identity Property' of addition?

A number added with 0 is equal to the number. Signup and view all the answers

What is an 'Inverse Operation'?

An operation that undoes a previously applied operation. Signup and view all the answers

Define 'Quadratic Equation'.

A polynomial equation that has a variable raised to the second power and no higher. Signup and view all the answers

What is a 'Relation' in mathematics?

A set of ordered pairs. Signup and view all the answers

What does 'Divisor' mean?

The number by which another number is divided. Signup and view all the answers

Define 'Binomial'.

Polynomial with two terms. Signup and view all the answers

What are 'Equivalent Expressions'?

Two expressions that have the same value written differently. Signup and view all the answers

What is a 'Function'?

A relation where every x is paired with only one y. Signup and view all the answers

What is an 'Axis of Symmetry'?

Vertical line that cuts the parabola into two equal pieces. Signup and view all the answers

What does '-b/2a' represent?

X-coordinate of the vertex of a parabola. Signup and view all the answers

Define 'Rate' in mathematics.

Ratio that compares two quantities of different units. Signup and view all the answers

What is 'Rate of Change'?

Ratio of one quantity to the change in another quantity. Signup and view all the answers

Define 'Real Number'.

Any number, decimal, fraction or radical. Signup and view all the answers

What is a 'Radical'?

Symbol used for square roots and other roots. Signup and view all the answers

What is a 'Variable'?

Symbol used to describe an unknown value. Signup and view all the answers

What does 'Transformation' refer to in mathematics?

Reflections, translations (slides), stretches of a function. Signup and view all the answers

What does 'Estimation' involve?

The use of rounding or other strategies to determine a reasonable approximation without calculating the actual answer. Signup and view all the answers

Define 'Coefficient'.

The number that multiplies the variable(s) in an algebraic expression. Signup and view all the answers

What does 'Subset' mean?

A set in which the members are all contained in another set. Signup and view all the answers

What is the 'Slope-intercept form of a line'?

y = mx + b. Signup and view all the answers

Define 'Intersection' in mathematics.

The point at which two functions meet. Signup and view all the answers

What are 'Integers'?

{..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...} Signup and view all the answers

The Inequality Rule states that when multiplying or dividing by a negative, the inequality symbol should be switched.

True Signup and view all the answers

What is an 'Exponent'?

Power. Signup and view all the answers

What is a 'Pattern' in mathematics?

A predictable sequence of numbers, objects, etc. Signup and view all the answers

What does 'Product' refer to?

Answer to multiplication. Signup and view all the answers

What is a 'Linear Inequality'?

Lines that are dashed/solid with shading Signup and view all the answers

What are 'Natural Numbers'?

{1, 2, 3, 4, 5, ...} Signup and view all the answers

What does 'Negative Exponent' signify?

Designates the reciprocal of a number or expression. Signup and view all the answers

What is the 'Origin' in coordinates?

(0, 0) Signup and view all the answers

What does 'Slopes of Parallel Lines' mean?

Same slopes. Signup and view all the answers

Define 'Similar Figures'.

Figures that have corresponding sides that are proportional in length. Signup and view all the answers

What does 'Rationalize' mean in mathematics?

Write an equivalent expression without a radical sign in the denominator. Signup and view all the answers

What is a 'Rational Number'?

Number that can be represented as a fraction. Signup and view all the answers

What is a 'Rational Expression'?

Algebraic expression that can be represented as a fraction where the numerator and denominator are polynomials. Signup and view all the answers

Study Notes

Algebraic Concepts Overview

Algebraic Base: Number or variable raised to a power.
Domain: Set of all possible x-values in a function or relation.
Range: Set of all possible y-values in a function.
Function: Relation where each x-value corresponds to only one y-value.
Quadratic Equation: Polynomial equation where the variable is squared (degree 2).

Inequalities and Properties

Compound Inequality: Two inequalities combined with AND or OR.
Linear Inequality: Inequalities that can be graphed as lines, which may be dashed (not including) or solid (including).
Inequality Rule: When multiplying or dividing by a negative number, the inequality symbol must be reversed.
Absolute Value: Represents the distance of a number from zero.

Sequences and Series

Arithmetic Sequence: A sequence of numbers with a constant difference between consecutive terms.
Geometric Sequence: A sequence where each term is found by multiplying the previous term by a constant factor (not mentioned but commonly associated).

Mathematical Operations

Evaluate: Find the value of an expression using the order of operations (PEMDAS).
Estimation: Use rounding for reasonable approximations to calculate values without exact figures.
Coefficient: The numerical factor multiplying a variable in an expression.

Graphical Interpretations

Line of Best Fit: A line that best represents the data in a scatterplot.
Y-intercept: The point where a graph crosses the y-axis (where x = 0).
Slope: Change in y over change in x, indicating the steepness of a line.
Point-Slope Form: y - y1 = m(x - x1), a formula for the equation of a line based on a point and slope.

Number Types

Natural Numbers: Positive integers starting from 1 (i.e., {1, 2, 3, ...}).
Whole Numbers: Non-negative integers including zero (i.e., {0, 1, 2, ...}).
Integers: Positive and negative whole numbers including zero ({..., -3, -2, -1, 0, 1, 2, 3, ...}).
Rational Numbers: Numbers expressible as a fraction, including integers and finite or repeating decimals.
Irrational Numbers: Numbers that cannot be expressed as fractions, like √2 and π.

Set Theory and Functions

Union of Sets: Combining elements from two sets, represented as A U B.
Complement of a Set A: Elements not in set A, denoted by ~A.
Subset: A set where all members are contained within another larger set.
Venn Diagram: A visual representation of the relationships among sets.

Additional Concepts

Distributive Property: a(b + c) = ab + ac, showing how to multiply a single term across a sum.
Associative Property: (A + B) + C = A + (B + C), indicating that addition can be grouped freely.
Commutative Property: A + B = B + A or AB = BA, showing the addition or multiplication order doesn't affect the outcome.
Transformation: Operations such as reflection, translation, and stretching applied to functions.
Rate of Change: The ratio comparing the change in one quantity to the change in another quantity.

By focusing on these concepts, students can enhance their understanding of Algebra 1 for the Florida EOC.

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Test your understanding of key algebraic concepts with these flashcards designed for the Algebra 1 End-of-Course exam in Florida. Each card defines important terms such as 'Algebraic Base,' 'Compound Inequality,' and more. Perfect for quick revision before your exam!