It is true that 12 > 10. All the other numbers are less than 10.

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1 Name Solving Equations and Inequalities - Step-by-Step Lesson a) Is v = 8 a solution to the inequality below? v < 6 b) A > 10 Which value for A would make the inequality true? i) 5 ii) 0 iii) 12 iv) 9 Explanation: a) Place 8 into the inequality in the place of v. v < 6 8 < 6 As we know that 8 is greater than 6 and sign between 8 and 6 is less than. This means it is false that 8 < 6. So, v = 8 is not a solution b) Put the value of A = 12 into the inequality. A = > 10 It is true that 12 > 10. All the other numbers are less than 10. So the answer is iii.

2 Name Solving Equations and Inequalities - Guided Lesson: Complete the following problems: 1) 48 < y Which value for y would make the inequality y false? a) 71 b) 12 c) 48 d) 37 2) Is t = 4 a solution to the inequality below? a) t < 3 3) x > 14 Which value for x would make the inequality true? a) 3 b) 6 c) 0 d) 16

3 Name Solving Equations and Inequalities - Guided Lesson Explanation Explanation#1 48 < y this is a sign of less than which means 48 is less than y. Put values of y in to find the answer. We are looking for a number larger than 48. Lets input all the numbers: Replace y = 71 in 48 < y 48 < is less than 71, so it proves equation. So it is correct. Replace y = 52 in 48 < y 48 < is not less than 12. So it is not correct. Replace y = 48 in 48 < y 48 < is equal to 48, so it does not prove the equation right. Replace y = 37 in 48 < y 48 < is greater than 37. It also does not prove the equation, so it is not a solution. Explanation#2 a)replace t with the number 4 in the inequality. t < 3 4 < 3 It is false that 4 < 3. 4 is not less than 3. So, t = 4 is not a solution

4 Name Explanation#3 b) x > 14 shows that x is greater than or equal to 14. The number we are looking for should be greater or equal to 14. To find the answer, replace x with the options given: Put the value x = 3 in x 14 x = is not greater or equal to 14. So, x = 3 is not solution. Replace x = 6 in x 14 x = is not greater or equal to 14. So, x = 6 is not solution. Replace x = 0 in x 14 x = is not greater or equal to 14. So, x = 0 is not solution. Replace x = 16 in x 14 x = is greater than 14. So, x = 16 is right solution.

5 Name Solving Equations and Inequalities - Independent Practice Worksheet Complete all the problems < b Which value for y would make the inequality true? a) 61 b) 32 c) 19 d) < y Which value for y would make the inequality false? a) 25 b) 42 c) 21 d) < y Which value for y would make the inequality false? a) 88 b) 64 c) 71 d) Is c = 6 a solution to the inequality below? a) c < 9 5. Is s = 8 a solution to the inequality below? a) s < 2

6 Name 6. Is h = 10 a solution to the inequality below? a) h < f > 24 Which value for f would make the inequality true? a) 9 b) 13 c) 8 d) K > 18 Which value for K would make the inequality false? a) 33 b) 7 c) 21 d) x > 41 Which value for x would make the inequality true? a) 16 b) 31 c) 0 d) d > 35 Which value for d would make the inequality true? a) 21 b) 44 c) 32 d) 14

7 Name Solving Equations and Inequalities - Matching Worksheet Match the missing parts and solutions to the inequalities a. False b. (a) c. (a) d. > e. False < y f. = Which value for y would make the inequality false? a) 50 b) 62 c) 15 d) N = 6 g. < Is a solution to the inequality below? Write the true or false. a) N < 9 8. P > 16 h. True Which value for P would make the inequality true? a) 8 b) 9 c) 0 d) 16

8 Topic : Solving Equations - Worksheet 1 Solve for x = -7x x = 2. 7x - 5 = 135 x = 3. 6x + 7 = 145 x = 4. 9x + 2 = 110 x = = -6x+10 x = = 8-5x x = 7. 5x - 5 = 70 x = = X + 28 x = 9. X - 7 = 61 x = 10. X + 17 = 55 x =

9 Topic : Solving Equations - Worksheet 2 Solve for x = -6x x = 2. 10x - 5 = 75 x = 3. 8x + 13 = 165 x = 4. 5x + 2 = 127 x = = -2x+9 x = = 14-9x x = x = 168 x = = X - 21 x = 9. X + 26 = 31 x = 10. X + 13 = 42 x =

10 Topic : Solving Equations - Worksheet 3 Solve for x = -7x x = 2. 7x - 3 = 186 x = 3. 12x + 11 = 155 x = 4. 9x + 5 = 122 x = = 7x+7 x = = x x = x = 84 x = = X + 39 x = 9. X + 51 = 74 x = 10. X + 31 = 97 x =

11 Topic : Solving Equations - Worksheet 4 Solve for x = 7x x = 2. 11x - 3 = 162 x = 3. 10x + 25 = 125 x = 4. 9x + 9 = 243 x = = 5x + 8 x = = x x = x = 13 x = = X - 37 x = 9. X - 91 = 17 x = 10. X + 19 = 75 x =

12 Topic : Solving Equations - Worksheet 5 Solve for x = -5x x = 2. 9x - 1 = 80 x = 3. 20x + 17 = 417 x = 4. 5x + 13 = 208 x = = -3x + 6 x = = 166-4x x = x = 153 x = = X - 81 x = 9. X - 13 = 108 x = 10. X + 81 = 262 x =

13 Topic: Solving Inequalities by Adding and Subtracting - Worksheet 1 Solve: 1. x + 25 > x + 75 > < y n y + 55 > x + 5 < 9 7. x 60 > y + 75 > < y n < 21

14 Topic: Solving Inequalities by Adding and Subtracting - Worksheet 2 Solve: 1. x + 36 > x + 21 > < y n y + 43 > x + 6 < x 31 > y + 66 > < y n < 87

15 Topic: Solving Inequalities by Adding and Subtracting - Worksheet 3 Solve: 1. x + 61 > x + 49 > < y n y + 27 > x + 3 < x 65 > y + 44 > < y n < 91

16 Topic: Solving Inequalities by Adding and Subtracting - Worksheet 4 Solve: 1. x + 26 > x + 59 > < y n y + 80 > x + 15 < x 41 > y + 93 > < y n < 58

17 Topic: Solving Inequalities by Adding and Subtracting - Worksheet 5 Solve: 1. x + 96 > x + 79 > < y n y + 86 > x + 39 < x 58 > y > < y n < 85

18 Topic : Solving Inequalities by Multiplying and Dividing - Worksheet 1 Solve: 1. x/6 > x > < 0.9y (4n) 5. -9y > x/10 < x > y > < y/ n < 36

19 Topic : Solving Inequalities by Multiplying and Dividing - Worksheet 2 Solve: 11. x/9 > x > < 1.5y (7n) y > x/8 < x > y > < y/ n < 76

20 Topic : Solving Inequalities by Multiplying and Dividing - Worksheet 3 Solve: 21. x/12 > x > < 10.4y (2n) y > x/11 < x > y > < y/ n < 120

21 Topic: Solving Inequalities by Multiplying and Dividing - Worksheet 4 Solve: 31. x/25 > x > < 12.6y (4n) y > x/25 < x > y > < y/ n < -100

22 Topic: Solving Inequalities by Multiplying and Dividing - Worksheet 5 Solve: 41. x/21 > x > < 15.5y (6n) y > x/14 < x > y > < y/ n < 160

23 Topic : Absolute Value Inequalities - Worksheet 1 Solve the following problems x x x x x x x x x x + 6

24 Topic : Absolute Value Inequalities Worksheet 2 Solve the following problems x x x x x x x x x x + 54

25 Topic : Absolute Value Inequalities - Worksheet 3 Solve the following problems > 5 + 5x < 12x > 16x < x x > < 6x > x < 9x > 3x < 18x + 3

26 Topic : Absolute Value Inequalities - Worksheet 4 Solve the following problems > 5 + 3x < 10x > 11x < 12x x > < 20x > x < 7x > 18x < 20x + 10

27 Topic : Absolute Value Inequalities - Worksheet 5 Solve the following problems > x < 24x > 18x < 16x x > < 18x > x < 4x > 9x < 19x + 48

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