Download presentation

Presentation is loading. Please wait.

Published byPolly Thomasina Horton Modified over 5 years ago

1
Identity and Equality Properties 1-4

2
Additive Identity The sum of any number and 0 is equal to the number. Symbols: a + 0 = a Example: 10 + n = 10 Solution: n = 0 10 + 0 = 10

3
Multiplicative Identity The product of any number and 1 is equal to the number Symbol : a * 1 = a Example: 8 * n = 8 Solution: n = 1 because 8 * 1 = 8

4
Multiplicative Property of 0 The product of any number and 0 is 0. Symbol: a * 0 = 0 Example: 8 * n = 0 Solution: The solution is 0 because 8 * 0 = 0

5
Multiplicative Inverses or Reciprocals Two numbers whose product is 1 Symbol: a * b = 1 b a Example: 1 * n = 1 5 Solution: n = 5 Because: 1 * 5 = 1 1 5 1

6
Properties of Equality Reflexive: any quantity is equal to itself. Symbols: a = a Example: 8 = 8 or 3 + 6 = 3 + 6 ( a number is equal to itself)

7
Symmetric If one quantity equals a second quantity. Then the second quantity equals the first. Symbol: If a = b, then b = a Example: If 6 = 5 + 1, then 5 + 1 = 6

8
Transitive I f one quantity equals a second quantity and the second quantity equals a third quantity, then the first quantity equals the third quantity. Symbol: If a = b and b = c, then a = c Example: If 5 + 4 = 6 + 3, and 6 + 3 = 9, then 5 + 4 = 9

9
Substitution A quantity may be substituted for its equal in any expression Symbol: If a = b, then a may be replace by b in any expression Example: If n = 15, then 3n = 3*15 (substitute a number for a variable)

10
Commutative Property The order in which you add or multiply does not matter Symbol : a + b = b + a Example: 5 * 3 = 3 * 5 Example 5 + 3 = 3 + 5

11
Associative Property Grouping – Multiplication and Addition The way you group three or more numbers when adding or multiplying does not change their sum or product. Symbols: ( a + b) + c = a + (b + c) Example: ( 3 + 4) + 5 = 3 + (4 + 5) Example: (3 * 4) * 5 = 3 * (4 * 5) The order is the same – the grouping is different.

12
Collecting Like Terms In order to add or subtract expressions with variables, the variables and exponents must be the same. You can add 3x + 6x because the variables are the same. Coefficients are numbers before the variables. Add the coefficients, keep the variables the same. 3x + 6x = 9x

13
Like Terms You cannot add : 4x 2 + 9x. The variables are the same but the exponents are different. You can add: 4x 2 + 3x 2 because the variables and exponents are the same. 4x 2 + 3x 2 = 7x 2 Add the coefficients, the variables and exponents stay the same.

14
Practice Underline the like terms in each problem. 13 m + 16mn + 4m + m 13m, 4m and m are like terms and can be added. They all have the same variable.

15
Simplify 13 m + 16mn + 4m + m 18m + 16mn How did I get 18m?

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google