1. 4x = 49 – 3x Sticky Note Math Do NOT put your name on the sticky
Solve for X and stick to the white board when you are finished.
4x = 49 – 3x

3. 6.1 Solving Equations using Inverse Operations

4. 6.1 – Solving Equations using Inverse Operations

5. 6.1 – Solving Equations using Inverse Operations

6. 6.1 – Solving Equations using Inverse Operations

7. 6.1 – Solving Equations using Inverse Operations

8. 6.1 – Solving Equations using Inverse Operations
Math Practice for HOMEWORK!
Page 272
Questions 6ac, 7, 8ace, 9ac, 11abcd, 12, 14, 15, 17, 18ace, 19, 20

9. 6.2 – Solving Equations using Balance Strategies

10. 6.2 – Solving Equations using Balance Strategies

11. 6.2 – Solving Equations using Balance Strategies

12. 6.2 – Solving Equations using Balance Strategies
X = 5 n = 1 ¾ a = -1

13. Fraction Review

14. 6.2 – Solving Equations using Balance Strategies
The easiest way to solve equations which contain fractions is to eliminate the
denominator. If we can get rid of all the fractions, the equation will be easier to solve.
To solve equations containing fractions, multiply each term by the whole number you choose. This whole number MUST BE A COMMON DENOMINATOR for all the fractions in the equations.
X = x = 5

15. 6.2 – Solving Equations using Balance Strategies
Math Practice for HOMEWORK
Page
Questions 4, 7i, 9, 11ace, 12, 13, 15, 17cd, 18

16. 6.2 - Review Take a few minutes and solve the following:
Once you have your answer verify that it is correct
x = 1
Remember to find the common denominator
This question is straight out of your math practice so should be easy peasy!

17. 6.3 – Introduction to INEQUALITIES
A mathematical sentence that does not have an exact value is called an inequality.
An inequality has a set of solutions that meet the requirements of the relationship described.
This differs from an equation, since an equation has only one solution.
For example n < 5
The solution for an inequality can be written, graphed or shown on a number line.

18. 6.3 – Introduction to INEQUALITIES
We use inequalities to mode a situation that can be described by a range of numbers instead of a single number.
We use specific symbols to represent that range.

19. 6.3 – Introduction to INEQUALITIES

20. 6.3 – Introduction to INEQUALITIES

21. 6.3 – Introduction to INEQUALITIES
Can you write an inequality that describes the time, t, for which a car could be legally parked?
Every day inequalities

22. 6.3 – Introduction to INEQUALITIES
Can you write an inequality that describes the time, t, for which a car could be legally parked?
t ≤ 30
T less than or equal to 30 minutes
T≤30

23. 6.3 – Introduction to INEQUALITIES
a). S ≤ 55
b). H ≥ 102
c).t < 4
d).R ≥ 14

24. 6.3 – Introduction to INEQUALITIES
Choosing variables and writing inequalities:
A. Contest entrants must be at least 18 years old
B. You must have 7 items or less to use the express checkout at Safeway.
C. Scientists have discovered over 400 species of dinosaurs.

25. 6.3 – Introduction to INEQUALITIES
1. Assign MEANINGFUL variables
2. Find Keywords that describe the type of inequality (greater than or more than use >)
3. Find keywords that describe the operations involved (ie of, times, greater than, product, by would be multiplication)
4. Write the inequality
Those were relatively simple examples but gr. 9 expectations will have you working with more complex word problems
When inequalities are initially described in words, they can be translated into mathematical expressions by following these steps.

26. 6.3 – Introduction to INEQUALITIES
For her birthday, Skyler received a $ gift card to Lululemon. She wants to buy a jacket that costs $ and she would like to spend the rest on tights which are on sale for $20.00 each.
Write an inequality to describe the maximum number of tights that Skyler can by.
Step 1 – define your variables T = Tights
Step 2 – Find keywords for inequality “maximum number of track suits” indicates a value less than or equal to a number so ≤
Step 3 – Find keywords for operation “$20.00 each so 20t” basketball shoes are going to cost so +250
Step 4 – Write the inequality 20t ≤ 500

27. 6.3 – Introduction to INEQUALITIES
Number Lines!!!

28. 6.3 – Introduction to INEQUALITIES
Representing Inequalities Graphically:

29. 6.3 – Introduction to INEQUALITIES

30. 6.3 – Introduction to INEQUALITIES
Hint: give yourself LOTS of space and always use a ruler!

31. 6.3 – Introduction to INEQUALITIES
Math Practice HOMEWORK
Pages 292 – 293
Questions 4, 5,7, 8ace, 9ace, 11, 12, 14 and 15

32. 6.3 – Introduction to INEQUALITIES
A) a number greater than 5 would be x >5
B) you must have 10 items or less to use express
C) you should invite at least 10 friends

33. 6.3 – Introduction to INEQUALITIES
Be careful when graphing your data
If continuous you can use a line and arrow
If discrete you need to show this using just dots

34. 6.3 – Review INEQUALITIES

35. 6.4 – Using addition and subtraction to solve linear inequalities
Understanding Inequalities
Write down any 2 numbers
Put the > or < symbol between them to make a true inequality equation
Choose another number, add that number to each side – is the inequality still true?
Choose another number, subtract that number from each side – is the inequality still true?

36. 6.4 – Using addition and subtraction to solve linear inequalities
When the same number is added or subtracted from each side of an inequality is the resulting inequality still true?
Explain using the example x +5 > 11

37. 6.4 – Using addition and subtraction to solve linear inequalities
We can use a number line to see that YES when the same number is added (or subtracted) from each side of an inequality the resulting inequality is still true.

38. 6.4 – Using addition and subtraction to solve linear inequalities
To solve an inequality use the same strategy as for solving an equation:
Gather like terms
Isolate the variable using opposite operations

39. 6.4 – Using addition and subtraction to solve linear inequalities

40. 6.4 – Using addition and subtraction to solve linear inequalities

41. 6.4 – Using addition and subtraction to solve linear inequalities
Problem Solving
Ms. Watson plans to board her snake while she is away on vacation.
Boarding house A charges $90 plus $5/day
Boarding house B charges $100 plus $4/day
For how many days must Ms. Watson board her snake for A to be cheaper than B?
a) Write an inequality b)Solve c) Graph the solution
1 – variables D = Day
2 – key words symbol “A less expensive than b” so A<B
3- key words operations – per (means multiply) plus means +
d < d
D<10

42. 6.4 – Using addition and subtraction to solve linear inequalities
Why does our number line NOT have an arrow?

43. 6.4 – Using addition and subtraction to solve linear inequalities
Math Practice for HOMEWORK
Pages
Questions 6, 7, 8ace, 9ace, 13 and 14
Remember to use a ruler
And give yourself lots of room

44. 6.5 – Using multiplication and division to solve linear inequalities
In the patterns below each side of the inequality 12>6 is multiplied or divided by the same number.
Copy both patterns into your notes
Replace each box with a < or >
When did the inequality sign change? When did it stay the same?

45. 6.5 – Using multiplication and division to solve linear inequalities
When Multiplying or Dividing inequalities the rule is:
When you multiply or divide by a NEGATIVE number you must REVERSE the inequality.

46. 6.5 – Using multiplication and division to solve linear inequalities
Try these and verify that your answer is correct:
A) -2w < B) -4w + 5 > -3

47. 6.5 – Using multiplication and division to solve linear inequalities
Try something a bit meatier, again verify your answer is correct. If you finish early graph your results.
-2(3-1.5n) < 3(2-n)

48. 6.5 – Using multiplication and division to solve linear inequalities
Problem Solve
A super-slide ride charges $1.25 to rent a mat and $0.75 per ride. Phil has $ How many rides can he go on?
Write an inequality
Solve the inequality
Graph the solution

49. 6.4 – Using multiplication and division to solve linear inequalities
Math Practice for HOMEWORK
Pages 305 – 306
Question # 4, 6, 7a, 9, 10, 11c, 12ac, 17
The Unit test on page 310 is Assignment #2 for Unit 6. It is due ________ our math final for Unit 6 will be: April __________.