Download presentation

Presentation is loading. Please wait.

Published byCory Stone Modified over 3 years ago

1
Linear Equations and Inequalities in One Variable What is an equation? =

2
Linear Equations and Inequalities in One Variable What is an equation?

3
Linear Equations and Inequalities in One Variable What is an equation?

4
Linear Equations and Inequalities in One Variable What is an equation?

5
Properties of Equality Reflexive Property a = a

6
Properties of Equality Symmetric Property If a = b then b = a

7
Properties of Equality Transitive Property If a = b and b = c then a = c

8
Properties of Equality Addition Property If a = b then a + c = b + c

9
Properties of Equality Subtraction Property If a = b then a - c = b - c

10
Properties of Equality Multiplication Property If a = b then ac = bc

11
Properties of Equality Division Property If a = b and c = 0 then a/c = b/c

12
Properties of Equality Whatever you do to one side of an equation

13
Properties of Equality do the same thing to the other side

14
Properties of Equality and the two sides will stay equal

15
Examples n – 6 = 9

16
Examples n – 6 = 9 Add 6 to both sides (addition property)

17
Examples n – 6 = 9 +6 +6

18
Examples n – 6 = 9 +6 +6 n = 3

19
Examples n = 3

20
Examples -35 = -5r

21
Examples -35 = -5r Divide both sides by -5 (division property)

22
Examples -35 = -5r -5 -5

23
Examples 7 = r

24
Examples -3(m + 3) = 16

25
Examples -3(m + 3) = 16 Distribute to get the m out of the parentheses

26
Examples -3(m + 3) = 16 -3m - 9 = 16 Distribute to get the m out of the parentheses

27
Examples -3(m + 3) = 16 -3m - 9 = 16 Add 9 to both sides (addition property)

28
Examples -3(m + 3) = 16 -3m - 9 = 16 +9 +9

29
Examples -3(m + 3) = 16 -3m - 9 = 16 +9 +9 -3m = 25

30
Examples -3(m + 3) = 16 -3m - 9 = 16 +9 +9 -3m = 25 Divide both sides by -3 (division property)

31
Examples -3m = 25 -3 -3

32
Examples m = -25 3

33
Examples 4s + 6s = 100

34
Examples 4s + 6s = 100 Combine like terms

35
Examples 4s + 6s = 100 10s = 100 Combine like terms

36
Examples 4s + 6s = 100 10s = 100 Divide each side by 10 (division property)

37
Examples 4s + 6s = 100 10s = 100 10 10

38
Examples s = 10

39
Examples 12 + 2g = 4 + 6g

40
Examples 12 + 2g = 4 + 6g Move the variable to one side of the equation

41
Examples 12 + 2g = 4 + 6g -2g -2g (subtraction property)

42
Examples 12 + 2g = 4 + 6g -2g -2g 12 = 4 + 4g

43
Examples 12 + 2g = 4 + 6g -2g -2g 12 = 4 + 4g Subtract 4 from both sides (subtraction property)

44
Examples 12 + 2g = 4 + 6g -2g -2g 12 = 4 + 4g -4 -4 8 = 4g

45
Examples 12 + 2g = 4 + 6g -2g -2g 12 = 4 + 4g -4 -4 8 = 4g Divide both sides by 4

46
Examples 12 + 2g = 4 + 6g -2g -2g 12 = 4 + 4g -4 -4 8 = 4g 4 4

47
Examples 2 = g

48
Today’s Work: Page 45 Problems 7-20 When you finish, you may work quietly on any homework you have.

Similar presentations

© 2019 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