1 / 15

ALGEBRA 2

ALGEBRA 2. ALGEBRA 1 BASICS CHEAT SHEET THINGS YOU SHOULD KNOW. Algebra 1 Basics. Real Numbers – Any number that can exist on a number line 5 Subsets of Real Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers. 5 Subsets of Real Numbers.

koren
Download Presentation

ALGEBRA 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. ALGEBRA 2 ALGEBRA 1 BASICS CHEAT SHEET THINGS YOU SHOULD KNOW . . .

  2. Algebra 1 Basics Real Numbers – Any number that can exist on a number line 5 Subsets of Real Numbers • Natural Numbers • Whole Numbers • Integers • Rational Numbers • Irrational Numbers

  3. 5 Subsets of Real Numbers • Natural Numbers – Any number that occurs in nature; positive whole numbers1, 2, 3, 4, 5,… • Whole Numbers – Natural Numbers subset with the addition of the number 0. • Integers – Any positive or negative whole number…-4, -3, -2, -1, 0, 1, 2, 3, 4, …

  4. 5 Subsets of Real Numbers (cont.) Rational Numbers – Any number that can be represented by a fractioni.e. 0.75, ½, ¾, 0.3333…, 0.666… Irrational Numbers – Any number that cannot be represented by a fraction or a decimal that repeats or terminates.i.e. , e, 2, 7

  5. How the Numbers Sets are Related RATIONAL NUMBERS INTEGERS IRRATIONAL NUMBERS WHOLE NUMBERS NATURAL NUMBERS

  6. Real Number Symbols Natural – N Whole – W Integers – Z Rational – Q Irrational – I Real – R

  7. Addition Properties Commutative: a + b = b + a 3 + 7 = 7 + 3 Associative: (a + b) + c = a + (b + c) (2 + 4) + 5 = 2 + (4 + 5) Identity: a + 0 = 0 + a = a 6 + 0 = 0 + 6 = 6 Inverse: a + (-a) = (-a) + a = 0 3 + (-3) = (-3) + 3 = 0

  8. Multiplication Properties Commutative: a ● b = b ● a 6 ● 7 = 7 ● 6 Associative: (a ● b) ● c = a ● (b ● c) (3 ● 2) ● 5 = 3 ● (2 ● 5) Identity: a ● 1 = 1 ● a = a 9 ● 1 = 1 ● 9 = 9 Inverse: a ● (1/a) = (1/a) ● a = 1 5 ● (1/5) = (1/5) ● 5 = 1

  9. Distributive Property a ● (b + c) = a ● b + a ● c (or) (b + c) ● a = b ● a + c ● a 7 ● (x + 3) = 7 ● x + 7 ● 3 = 7x + 21

  10. Algebra 1 Basics In math whether you evaluate, simplify, or solve you always need to follow the order of operations. PEMDAS P – Parentheses (Brackets, braces, fraction bars, or radical signs) E – Exponents M or D – Multiplication or Division (Always done left to right) A or S - Addition or Subtraction (Always done left to right)

  11. Algebra 1 Basics Numerical Expression – combination of numbers, operations and grouping symbols. NO EQUAL SIGN Power – Numerical expression where a base value is raised to an exponent 34 = 3 ● 3 ● 3 ● 3 Variable – a letter that is used to represent one or more numbers (i.e. x, y, a, b) BASE EXPONENT

  12. Algebra 1 Basics Algebraic Expression – a numerical expression that contains variables. NO EQUAL SIGN Mathematical Model – an expression that represents a real-life situation. Term – variables or numbers that make up a numerical or algebraic expression. Coefficient – is the number part of a term that is the product of a number and a power.

  13. Algebra 1 Basics Like Terms – numbers or terms that have the same variable Constant Term - numbers Equivalent – When two algebraic expressions are identical when simplified Identity – When two expressions are identical

  14. Algebra 1 Basics Equation – is a statement in which two expressions are equal Linear Equation – is an equation with one variable that can be written in the form ax = b, where a and b are coefficients and a ≠ 0. Solution – is a number that makes the statement true when substituted for the variable.

  15. Algebra 1 Basics Equivalent – when two equations have the same solution. Rewrite equations with more than one variable and rewrite common formulas for solving. d = r  t r = t = d d t r

More Related