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.
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1 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 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.
2 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) = (b) = (c) = 3) Simplify each equation below. (a) -8-4 = (b) = (c) =
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 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 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 = = -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 = 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 = -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 = -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 = -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 = 2 Answer is 2.
5 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) = 3. Find the absolute value. (a) 36 = (b) -45 = 4. Simplify each equation below. (a) 10-8 = (b) = 5. Find the absolute value. (a) -28 = (b) 59 = 6. Simplify each equation below. (a) = (b) = 7. Find the absolute value. (a) -87 = (b) -67 = 8. Simplify each equation below. (a) = (b) = 9. Find the absolute value. (a) -28 = (b) 16 = 10. Simplify each equation below. (a) = (b) =
6 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 = 2. Find the absolute value. b = 3. Simplify each equation below. c = 4. Find the absolute value. d = 5. Simplify each equation below. e = 6. Find the absolute value. f = 7. Simplify each equation below. g = 8. Find the absolute value. h = 9. Simplify each equation below. i =
7 Topic: Absolute Value Equations - Worksheet 1 Solve the following problems dealing with absolute value equations = 2 + 4x = 6x = 3x = 2 + 4x x = = 3x = x = 3x = 3x = 3x + 6
8 Topic: Absolute Value Equations - Worksheet 2 Solve the following problems dealing with absolute value equations = 3 + 6x = 8x = 4x = 5 + 5x x = = 2x = x = 4x = 4x = 2x + 8
9 Topic: Absolute Value Equations - Worksheet 3 Solve the following problems dealing with absolute value equations = 2 + 4x = 3x = 5x = 4 + 2x x = = 3x = x = 2x = 3x = 4x + 12
10 Topic: Absolute Value Equations - Worksheet 4 Solve the following problems dealing with absolute value equations = 3 + 2x = 2x = 3x = 3 + 2x x = = 2x = x = 3x = 2x = 6x + 2
11 Topic: Absolute Value Equations - Worksheet 5 Solve the following problems dealing with absolute value equations = 4 + 4x = 3x = 2x = 4 + 2x x = = 3x = x = 4x = 3x = 4x + 5
12 Topic : Absolute Value- Worksheet 1 Do the following: 1. Find the value of the number expression Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression 5 6. Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression Simplify:
13 Topic : Absolute Value- Worksheet 2 Do the following: 1. Find the value of the number expression Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression 7 6. Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression Simplify:
14 Topic : Absolute Value- Worksheet 3 Do the following: 1. Find the value of the number expression Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression 9 6. Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression Simplify:
15 Topic : Absolute Value- Worksheet 4 Do the following: 1. Find the value of the number expression Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression 6 6. Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression Simplify:
16 Topic : Absolute Value- Worksheet 5 Do the following: 1. Find the value of the number expression Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression 8 6. Simplify: Simplify: ( If the domain is the set of signed find the solution set for: x = Find the value of the number expression Simplify:
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