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Algebra Vocabulary.

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Presentation on theme: "Algebra Vocabulary."— Presentation transcript:

1 Algebra Vocabulary

2 An expression that includes at least one variable.
Algebraic Expression

3 An expression that represents repeated multiplication of the same factor.
Power

4 A fraction that compares two quantities measured in different units.
Rate

5 A mathematical sentence formed by placing the symbol = between two expressions.
Equation

6 A number substituted into a variable that makes the original statement true.
Solution

7 An equation that relates two or more quantities.
Formula

8 All positive and negative whole numbers, including zero.
Integer

9 The distance between a number and zero on the number line.
Absolute Value

10 Any number that can be written as a÷b in which b cannot equal zero.
Rational Number

11 The set of all rational and irrational numbers.
Real Number

12 Any real number written in front of a variable.
Coefficient

13 Terms that have identical variable parts with corresponding variables raised to the same power.
Like Terms

14 The positive value of a square root.
Principal Square Root

15 Conditional Statement
Any sentence written in the form, if – then and has a hypothesis and conclusion. Conditional Statement

16 An example to show than an if – then statement is false.
Counterexample

17 A comparison of two quantities using division.
Ratio

18 The number or expression inside a radical symbol.
Radicand

19 A number that cannot be written as the quotient of two integers.
Irrational Number

20 An equation that states two ratios are equal.
Proportion

21 An equation that is true for all values of the variable.
Identity

22 A mathematical sentence formed by placing one of the symbols <, ≤, > or ≥ between two expressions. Inequality

23 Two inequalities joined by and or or.
Compound Inequality

24 A compound inequality using the word and
Conjunction

25 A compound inequality using the word or
Disjunction

26 The sum of the values of a data set divided by the number of values.
Mean

27 Absolute Value Equation
An equation that contains an absolute value expression. Absolute Value Equation

28 The absolute value of the difference between an actual measurement and a given number; variance.
Absolute Deviation

29 Absolute Value Inequality
An inequality that contains an absolute value expression. Absolute Value Inequality

30 On a number line, the set of points that represent all solutions of the inequality.
Graph of an Inequality

31 A pairing of elements of one set.
Relation

32 The pair of elements in a relation that represent the input (x)
Domain

33 The pair of elements in a relation that represent the output (y)
Range

34 A relation in which each domain element there is exactly one range element (one-to-one correspondence) Function

35 The input variable (x); also considered the domain.
Independent Variable

36 The output variable (y); also considered the range.
Dependent Variable

37 Standard Form A linear equation in the form
Ax + by = C; where A, B, C are real numbers and A & B are not zero. Standard Form

38 The x-coordinate of a point where the graph crosses the x-axis.
X-intercept

39 The y-coordinate of a point where the graph crosses the y-axis.
y-intercept

40 The ratio of the vertical change (the rise) and horizontal change (the run) between two points on a line. Slope

41 Compares the change in one quantity to a change in another quantity.
Rate of Change

42 The form of an equation listed below:
y = mx + b Slope-Intercept Form

43 Two lines, on the same plane, that never intersect and have the same slope.
Parallel lines

44 The relationship of two variables x and y if there is a nonzero number k such that
y = kx. Direct Variation

45 The nonzero number k in the equation y = kx, the equation of Direct Variation.
Constant of Variation

46 The form of the equation:
Point-slope form

47 A statement where the hypothesis and conclusion are reversed from a conditional statement.
Converse

48 Two lines on the same plane who intersect to form a 90 degree angle.
Perpendicular Lines

49 System of Linear Equations
Two or more linear equations in the same variable. System of Linear Equations

50 Consistent Independent System
A linear system with exactly one solution. Consistent Independent System

51 Consistent Dependent System
A linear system with infinitely many solutions. Consistent Dependent System

52 A linear system with no solution.
Inconsistent System

53 The power of ten nearest the quantity.
Order of Magnitude

54 An expression that contains a radical, such as a square root, cube root or other root.
Radical Expression

55 Rationalizing the Denominator
The process of eliminating the radical from the expression’s denominator by multiplying the expression by an appropriate form of one. Rationalizing the Denominator

56 A number, a variable with a positive integer exponent or the product of a number and one or more variables with a positive integer exponent. Monomial

57 Amonomial or a sum of monomials.
Polynomial

58 The coefficient of the first term when a polynomial is written so that the exponents of a variable decrease from left to right. Leading Coefficient

59 A value of the variable in a polynomial for which the corresponding polynomial is zero.
Root

60 A model for the height of an object that is propelled into the air but has no power to keep itself in the air. Vertical Motion Model


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