Name Working with Absolute Value - Step-by-Step Lesson Lesson 1 Absolute Value Problem: 1. Find the absolute value. 6 = Explanation: Absolute values focus on the size or magnitude of a number. They do not leave any regard for the sign of the number, as a result absolute values are positive or zero. The absolute value of a number is its distance from 0. 6 5 4 3 2 1 0 1 2 3 4 5 6 Again it does not matter if the number is negative or positive. On a number line, 6 is 6 units to the right of 0. So the absolute value is 6. As you can see above, -6 and 6 have the same absolute value since they are 6 units from 0.
Name Working with Absolute Value - Guided Lesson Complete the following problems: 1) Find the absolute value. (a) 4 = (b) -27 = (c) -18 = 2) Simplify each equation below. (a) -6 + -4 = (b) 8 - -3 = (c) - -2-9 = 3) Simplify each equation below. (a) -8-4 = (b) - -1 + 7 = (c) 5 - -3 =
Name Working with Absolute Value - Guided Lesson Explanation Explanation#1 a) Step 1) Absolute values are positive or zero. Step 2) The absolute value of a number is its distance from 0. On a number line, 4 is 4 units to the right of 0. 4 is the absolute value of 4. b) Step 1) Absolute values are positive or zero. Step 2) The absolute value of a number is its distance from 0. On a number line, -27 is 27 units to the left of 0. 27 is the absolute value of -27. c) Step 1) Absolute values are positive or zero. Step 2) The absolute value of a number is its distance from 0. On a number line, -18 is 18 units to the left of 0. 18 is the absolute value of -18. Explanation#2 a) Step 1) Absolute values are positive or zero. Step 2) The number inside the sign when comes out, becomes positive. -6 + -4 = -6 + 4 = -2 Answer is -2 b) Step 1) Absolute values are positive or zero. Step 2) The number inside the sign when comes out, becomes positive. 8 - -4 = 8-4 = 4
Name Answer is 4 c) Step 1) Absolute values are positive or zero. Step 2) The number inside the sign when comes out, becomes positive. - -4-9 = -4-9 = -13 Answer is -13 Explanation#3 Step 1a) Absolute values are positive or zero. Step 2a) The number inside the sign when comes out, becomes positive. -8 + 4-8 + 4 = -4 Answer is -4. b) Step 1) Absolute values are positive or zero. Step 2) The number inside the sign when comes out, becomes positive. - -1-7 -1-7 = -8 Answer is -8. c) Step 1) Absolute values are positive or zero. Step 2) The number inside the sign when comes out, becomes positive. 5 - -3 = 5-3 = 2 Answer is 2.
Name Working with Absolute Value - Independent Practice Worksheet Complete all the problems. 1. Find the absolute value. (a) -3 = (b) -77 = 2. Simplify each equation below. (a) -7-7 = (b) - -2 + 9 = 3. Find the absolute value. (a) 36 = (b) -45 = 4. Simplify each equation below. (a) 10-8 = (b) - -12 + 20 = 5. Find the absolute value. (a) -28 = (b) 59 = 6. Simplify each equation below. (a) -19-5 = (b) -17 + 25 = 7. Find the absolute value. (a) -87 = (b) -67 = 8. Simplify each equation below. (a) -32-28 = (b) - -11 + 16 = 9. Find the absolute value. (a) -28 = (b) 16 = 10. Simplify each equation below. (a) -45-35 = (b) - -55 + 30 =
Name Working with Absolute Value - Matching Worksheet Match the equation to their answers. Write the letter of the answer that matches the equation. 1. Simplify each equation below. a. -41 66-22 = 2. Find the absolute value. b. -22-42 = 3. Simplify each equation below. c. 44-16 - 8 = 4. Find the absolute value. d. 69 39 = 5. Simplify each equation below. e. 42-15 - -26 = 6. Find the absolute value. f. -86 - -4 = 7. Simplify each equation below. g. 39-28 - 58 = 8. Find the absolute value. h. -24-69 = 9. Simplify each equation below. i. -4 18-40 =
Topic: Absolute Value Equations - Worksheet 1 Solve the following problems dealing with absolute value equations. 1. 6 = 2 + 4x 2. -3 = 6x 3 3. 6 = 3x + 6 4. 2 = 2 + 4x 5. 4 + 8x = 4 6. 12 = 3x + 9 7. 3 = x + 6 8. 9 = 3x + 3 9. 6 = 3x 12 10. 3 = 3x + 6
Topic: Absolute Value Equations - Worksheet 2 Solve the following problems dealing with absolute value equations. 1. 9 = 3 + 6x 2. -4 = 8x 4 3. 8 = 4x + 4 4. 10 = 5 + 5x 5. 3 + 6x = 3 6. 6 = 2x + 4 7. 4 = x + 2 8. 8 = 4x + 6 9. 8 = 4x 2 10. 4 = 2x + 8
Topic: Absolute Value Equations - Worksheet 3 Solve the following problems dealing with absolute value equations. 1. 8 = 2 + 4x 2. -6 = 3x 3 3. 15 = 5x + 5 4. 4= 4 + 2x 5. 2+ 4x = 6 6. 9 = 3x + 12 7. 8 = x + 4 8. 4 = 2x + 2 9. 5 = 3x 2 10. 16 = 4x + 12
Topic: Absolute Value Equations - Worksheet 4 Solve the following problems dealing with absolute value equations. 1. 5 = 3 + 2x 2. -8 = 2x 4 3. 9 = 3x + 3 4. 6= 3 + 2x 5. 3+ 6x = 9 6. 10 = 2x + 6 7. 4 = x + 3 8. 6 = 3x + 9 9. 7 = 2x 5 10. 12 = 6x + 2
Topic: Absolute Value Equations - Worksheet 5 Solve the following problems dealing with absolute value equations. 1. 6 = 4 + 4x 2. -9 = 3x 6 3. 3 = 2x + 5 4. 4= 4 + 2x 5. 6+ 3x = 12 6. 5 = 3x + 4 7. 7 = x + 2 8. 8 = 4x + 6 9. 6 = 3x 15 10. 9 = 4x + 5
Topic : Absolute Value- Worksheet 1 Do the following: 1. Find the value of the number expression 42 2. Simplify: + 11 + -16 3. Simplify: (54-26 + -4 4. If the domain is the set of signed find the solution set for: x = 24 5. Find the value of the number expression 5 6. Simplify: + 13 + -47 7. Simplify: (45-35 + -15 8. If the domain is the set of signed find the solution set for: x = 35 9. Find the value of the number expression 46 10. Simplify: + 20 + 40
Topic : Absolute Value- Worksheet 2 Do the following: 1. Find the value of the number expression 45 2. Simplify: + 13 + -18 3. Simplify: (58-28 + -3 4. If the domain is the set of signed find the solution set for: x = 28 5. Find the value of the number expression 7 6. Simplify: + 15 + -49 7. Simplify: (46-34 + -12 8. If the domain is the set of signed find the solution set for: x = 36 9. Find the value of the number expression 48 10. Simplify: + 15 + 25
Topic : Absolute Value- Worksheet 3 Do the following: 1. Find the value of the number expression 47 2. Simplify: + 14 + -20 3. Simplify: (64-32 + -6 4. If the domain is the set of signed find the solution set for: x = 22 5. Find the value of the number expression 9 6. Simplify: + 14 + -32 7. Simplify: (48-32 + -20 8. If the domain is the set of signed find the solution set for: x = 38 9. Find the value of the number expression 52 10. Simplify: + 20 + 25
Topic : Absolute Value- Worksheet 4 Do the following: 1. Find the value of the number expression 41 2. Simplify: + 16 + -26 3. Simplify: (66-24 + -8 4. If the domain is the set of signed find the solution set for: x = 32 5. Find the value of the number expression 6 6. Simplify: + 16 + -26 7. Simplify: (47-27 + -18 8. If the domain is the set of signed find the solution set for: x = 37 9. Find the value of the number expression 54 10. Simplify: + 15 + 20
Topic : Absolute Value- Worksheet 5 Do the following: 1. Find the value of the number expression 53 2. Simplify: + 24 + -28 3. Simplify: (68-28 + -7 4. If the domain is the set of signed find the solution set for: x = 34 5. Find the value of the number expression 8 6. Simplify: + 17 + -27 7. Simplify: (49-25 + -16 8. If the domain is the set of signed find the solution set for: x = 38 9. Find the value of the number expression 56 10. Simplify: + 25 + 30