Common Core Algebra Vocabulary Flashcards

Absolute Value and Functions

• Absolute value represents the distance from zero on a number line, e.g., |-3| = 3 and |5| = 5.
• Absolute value functions include the expression |x| and have a "V" shape graph.

Graphs and Shapes

• Absolute value function graphs appear as "V" or inverted "V".
• Quadratic graphs form a parabola, which can be "U"-shaped with a vertex at the peak or trough.

Lines and Slopes

• Parallel lines possess identical slopes.
• Perpendicular lines have slopes that are negative reciprocals of one another.

Mathematical Concepts

• The axis of symmetry for quadratics is computed using x = -b / 2a.
• The difference of two squares factors as (a - b)(a + b).
• Factoring involves breaking an expression down into multiplicative components.

Solving Equations

• To solve an equation means to determine the variable's value that satisfies it.
• The Line of Best Fit or Trend Line best represents data within a scatter plot.

Data Analysis

• A residual represents the difference between actual and predicted values, with a good model indicated by a random residual plot.
• The mode is the number that appears most frequently in a dataset.
• The mean is computed as the average, while the median denotes the middle value of an ordered dataset.

Box and Whisker Plots

• For a Box and Whisker plot, enter values into L1 using STAT, then execute 1 Var Stats under the CALC menu to retrieve the five-number summary.

Lines and Equations

• Equations for vertical and horizontal lines follow the forms x = constant and y = constant, respectively.
• The slope-intercept form is expressed as y = mx + b, where m indicates slope and b represents the y-intercept.

Quadratic Forms

• Vertex form of a quadratic: y = a(x - h)^2 + k, where (h, k) is the vertex.
• Standard quadratic form: y = ax^2 + bx + c, with 'a' determining the parabola's direction of opening.

Algebra and Expressions

• Algebraic solutions utilize variables and equations, with alternatives like guess-and-check earning partial credit.
• Expressions are mathematical forms without equal signs, while equations contain them.

Properties and Terms

• The associative property states that the grouping of terms does not affect their sum or product.
• The base in exponential expressions is the number raised to a power.
• A binomial consists of two terms, e.g., (x + 4).

Data Categories

• Bivariate data reflects measurements of two distinct variables (e.g., height and age).
• A Box and Whisker plot summarizes data distribution.

Closure Property

• An operation is closed if it consistently produces outputs of the same type as its inputs, such as positive numbers remaining positive under addition.

Polynomial Terminology

• Coefficient refers to the numeric factor of a polynomial term, e.g., in 14x, the coefficient is 14.

Dive into the essential vocabulary of Common Core Algebra with these flashcards. Each card provides clear definitions and visual representations to help you grasp concepts like absolute value and quadratic graphs. Perfect for students preparing for the Algebra Regents exam.