1. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 1. j – 8 < 9 2. k – 10 ≥ 6 3. x + 6 > y + 4 < 24

2. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 1. j – 8 < 9

3. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 1. j – 8 < j < 17

4. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 2. k – 10 ≥ 6

5. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 2. k – 10 ≥ k > 16

6. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 3. x + 6 > 12

7. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 3. x + 6 > x > 6

8. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 4. y + 4 < 24

9. 5 Minute Check
Solve and graph the inequality. Complete on the back of 8.7.a notes. 4. y + 4 < y < 20

10. OST Test Prep
Steve surveyed the students in his class to find their favorite sport. The table shows the results of the survey. What percent of Steve’s classmates did not select soccer as their favorite sport?

11. OST Test Prep
Steve surveyed the students in his class to find their favorite sport. The table shows the results of the survey. What percent of Steve’s classmates did not select soccer as their favorite sport?
𝟐𝟖 𝒏𝒐 𝒔𝒐𝒄𝒄𝒆𝒓 𝟒𝟎 𝒕𝒐𝒕𝒂𝒍 = 𝟏𝟒 𝟐𝟎
𝟏𝟒 𝟐𝟎 = ? 𝟏𝟎𝟎
14 x 100 = 1400 ÷ 20 = 70%

12. Lesson 8.7.b Solve One-Step Inequalities
Friday, Feb 24
Lesson 8.7.b Solve One-Step Inequalities

13. Solve One-Step Inequalities
Objective: To solve and graph one-step multiplication and division inequalities.

14. Solve One-Step Inequalities
The method used to solve algebraic equations that include multiplication or division is the same method used to solve algebraic inequalities that include multiplication or division.

15. Solve One-Step Inequalities
The Property of Equalities states that what you do to one side of an equation, you must do to the other.
This is the same for inequalities!

16. Solve One-Step Inequalities
Find the solution. 5x > 45 Solving Algebraic Inequalities Step 1 – Circle the coefficient.

17. Solve One-Step Inequalities
Find the solution. 5x > 45 Solving Algebraic Inequalities Step 1 – Circle the coefficient.

18. Solve One-Step Inequalities
Find the solution. 5x > 45 Solving Algebraic Inequalities Step 2 – Undo the operation.

19. Solve One-Step Inequalities
Find the solution.
5𝑥 5 >
Solving Algebraic Inequalities
Step 2 – Undo the operation.

20. Solve One-Step Inequalities
Find the solution.
5x 5 >
Solving Algebraic Inequalities
Step 3 – Simplify.

21. Solve One-Step Inequalities
Find the solution.
5x 5 >
x > 9
Solving Algebraic Inequalities
Step 3 – Simplify.

22. Solve One-Step Inequalities
Find the solution.
5x 5 >
x > 9
The solution is any number greater than 9.
Remember - With an algebraic equation there is one solution.
With an algebraic inequality there are many solutions.

23. Solve One-Step Inequalities
Find the solution.
5x 5 >
x > 9
Graph this solution.

24. Solve One-Step Inequalities
Find the solution.
5x 5 >
x > 9
Where does the dot go?

25. Solve One-Step Inequalities
Find the solution.
5𝑥 5 >
x > 9
Where does the dot go?

26. Solve One-Step Inequalities
Find the solution.
5𝑥 5 >
x > 9
Is the dot open or closed?

27. Solve One-Step Inequalities
Find the solution.
5𝑥 5 >
x > 9
Is the dot open or closed?
Remember when graphing:
< or > use an open dot
< or > use a closed dot

28. Solve One-Step Inequalities
Find the solution.
5𝑥 5 >
x > 9
Which direction does the arrow point?

29. Solve One-Step Inequalities
Find the solution.
5𝑥 5 >
x > 9
Which direction does the arrow point?
Remember when the variable is on the left side, the arrow points the same direction as the inequality sign.

30. Solve One-Step Inequalities
Solve and graph the solution 10x < 80 Do this on your own.

31. Solve One-Step Inequalities
Solve and graph the solution.
10𝑥 <
x < 8
On today’s assignment, the work in blue is to be shown.

32. Solve One-Step Inequalities
Solve and graph the solution. 5y > 60 Do this on your own.

33. Solve One-Step Inequalities
Solve and graph the solution. 5𝑦 5 > 60 5 y > 12 12
5)60 -5 10
-10

34. Solve One-Step Inequalities
Solve and graph the solution. 1 5 ·3x > 9.33

35. Solve One-Step Inequalities
Solve and graph the solution.
3𝑥 3 >
x > 3.11
3.11
3)9.33 -9 03 -3

36. Solve One-Step Inequalities
Solve and graph the solution. 𝑥 6 > 3 Do this on your own.
What operation are we applying to the variable?

37. Solve One-Step Inequalities
Solve and graph the solution. 6 ∙ 𝑥 6 > 3 ∙ 6 x > 18

38. Solve One-Step Inequalities
Solve and graph the solution. 𝑡 3 < 2 Do this on your own.

39. Solve One-Step Inequalities
Solve and graph the solution. 3∙ 𝑡 3 < 2 ∙ 3 t < 6

40. Solve One-Step Inequalities
Solve and graph the solution. 𝑘 2.4 < 4.1

41. Solve One-Step Inequalities
Solve and graph the solution. 2.4 ∙ 𝑘 2.4 < 4.1 ∙ 2.4 k < 9.84
4.1
x 2.4
164
820
9.84

42. Solve One-Step Inequalities
Solve and graph the solution. 𝑎 1.71 > 1.23

43. Solve One-Step Inequalities
Solve and graph the solution ∙ 𝑎 1.71 > 1.23 ∙ 1.71 a >
1.23
x 1.71
123
8610
12300
2.1033

44. Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school costs $2 write and solve an inequality to find the number of times per week she can buy her lunch. Do this on your own.

45. Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot lunch at school costs $2 write and solve an inequality to find the number of times per week she can buy her lunch. 2x < 10 2𝑥 2 < 10 2 x < 5

46. Solve One-Step Inequalities
Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more than $42 on party favors. Write and solve an inequality to find the maximum cost of each party bag. Do this on your own.

47. Solve One-Step Inequalities
Laverne is making bags of party favors for each of the 7 friends attending her birthday party. She does not want to spend more than $42 on party favors. Write and solve an inequality to find the maximum cost of each party bag. 7p < 42 7𝑝 7 < 42 7 p < 6

48. Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to bu her
In three math tests, you score 91, 95 and 88 points. How many points must you score on the forth test to have an “A” average (at least 90 points)?

49. Solve One-Step Inequalities
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to bck her
In three math tests, you score 91, 95 and 88 points. How many points must you score on the forth test to have an “A” average (at least 90 points)?
x > 90 · 4
4 ·
274 + x > 360 –
x >

50. Write and Graph Inequalities
Agenda Notes
Skills Practice 8.7.b
Due by the end of class
When you complete this, work on missing assignments or MobyMax
Chapter 8 Test
Tuesday, Feb 28
Test review after school on Monday