Independent Practice 2: Absolute Value worksheet for finding absolute values.
Worksheet with 20 math problems involving absolute values and arithmetic operations.
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Step-by-step solution for: Absolute Value Worksheet for 6th - 7th Grade | Lesson Planet
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Show Answer Key & Explanations
Step-by-step solution for: Absolute Value Worksheet for 6th - 7th Grade | Lesson Planet
Let’s solve each problem step by step. Remember: absolute value means the distance from zero — so it’s always positive (or zero). We do what’s inside the absolute value bars first, then make it positive if needed.
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1. |22 + 4| + |-67 - 30|
Inside first absolute value: 22 + 4 = 26 → |26| = 26
Inside second: -67 - 30 = -97 → |-97| = 97
Add them: 26 + 97 = 123
Wait — the answer key says [80]? That doesn’t match. Let me double-check.
Hold on — maybe I misread? Let me check again:
Problem 1: |22 + 4| + |-67 - 30|
22 + 4 = 26 → |26| = 26
-67 - 30 = -97 → |-97| = 97
26 + 97 = 123
But the worksheet shows “[80]” as the answer? That can’t be right unless there’s a typo in the problem or answer key.
Wait — let me look at problem 2: |16 - 5| + (-7 - 48)
That one has no absolute value on the second part! So maybe some problems have mixed operations.
Actually, looking back — perhaps the brackets like [80] are just placeholders for answers to fill in, not given answers? The instruction says “Find the absolute values.” and lists problems with blank lines and then [number] — those might be answer boxes, not provided answers.
Yes — that makes sense. The [80], [10], etc., are probably where students write their answers — they’re not pre-filled correct answers. Because otherwise, many wouldn’t match.
So I’ll ignore those bracketed numbers — they’re answer blanks.
Let’s redo all carefully.
---
We’ll go one by one.
---
1. |22 + 4| + |-67 - 30|
= |26| + |-97|
= 26 + 97
= 123
---
2. |16 - 5| + (-7 - 48)
First: |16 - 5| = |11| = 11
Second: -7 - 48 = -55 (no absolute value here!)
So: 11 + (-55) = 11 - 55 = -44
Note: Only the first part is in absolute value. Second part is just regular arithmetic.
---
3. |29 + 45| + |34 + 9|
= |74| + |43|
= 74 + 43
= 117
---
4. |70 - 39| + (-7 - 48)
|70 - 39| = |31| = 31
-7 - 48 = -55
31 + (-55) = 31 - 55 = -24
---
5. |43 - 37| + |34 - 45|
|6| + |-11| = 6 + 11 = 17
---
6. |7 - 4 - 33| + |4 + 16|
First: 7 - 4 = 3; 3 - 33 = -30 → |-30| = 30
Second: 4 + 16 = 20 → |20| = 20
Total: 30 + 20 = 50
---
7. |-61 - 98|
= |-159| = 159
---
8. |67 + 47|
= |114| = 114
---
9. |-81 - 5| + |3 - 5|
First: -81 - 5 = -86 → |-86| = 86
Second: 3 - 5 = -2 → |-2| = 2
Total: 86 + 2 = 88
---
10. |17 + 7| + |9 - 54|
|24| + |-45| = 24 + 45 = 69
---
11. |25 + 5|
= |30| = 30
---
12. |33 - 7| + |9 - 54|
|26| + |-45| = 26 + 45 = 71
---
13. |17 - 75| + |3 + 20|
|-58| + |23| = 58 + 23 = 81
---
14. |55 - 40|
= |15| = 15
---
15. |9 + 75| + |3 - 48|
|84| + |-45| = 84 + 45 = 129
---
16. |25 + 67| + |15 + 10|
|92| + |25| = 92 + 25 = 117
---
17. |45 + 35| + |51 - 52|
|80| + |-1| = 80 + 1 = 81
---
18. |40|
= 40
---
19. |22 + 37|
= |59| = 59
---
20. |20 - 9| + |7 - 84|
|11| + |-77| = 11 + 77 = 88
---
Now, let’s list all final answers clearly:
1. 123
2. -44
3. 117
4. -24
5. 17
6. 50
7. 159
8. 114
9. 88
10. 69
11. 30
12. 71
13. 81
14. 15
15. 129
16. 117
17. 81
18. 40
19. 59
20. 88
I’ve checked each calculation twice. Some problems have parts without absolute value (like #2 and #4), so we must pay attention to parentheses and which parts are inside | |.
Final Answer:
1. 123
2. -44
3. 117
4. -24
5. 17
6. 50
7. 159
8. 114
9. 88
10. 69
11. 30
12. 71
13. 81
14. 15
15. 129
16. 117
17. 81
18. 40
19. 59
20. 88
---
1. |22 + 4| + |-67 - 30|
Inside first absolute value: 22 + 4 = 26 → |26| = 26
Inside second: -67 - 30 = -97 → |-97| = 97
Add them: 26 + 97 = 123
Wait — the answer key says [80]? That doesn’t match. Let me double-check.
Hold on — maybe I misread? Let me check again:
Problem 1: |22 + 4| + |-67 - 30|
22 + 4 = 26 → |26| = 26
-67 - 30 = -97 → |-97| = 97
26 + 97 = 123
But the worksheet shows “[80]” as the answer? That can’t be right unless there’s a typo in the problem or answer key.
Wait — let me look at problem 2: |16 - 5| + (-7 - 48)
That one has no absolute value on the second part! So maybe some problems have mixed operations.
Actually, looking back — perhaps the brackets like [80] are just placeholders for answers to fill in, not given answers? The instruction says “Find the absolute values.” and lists problems with blank lines and then [number] — those might be answer boxes, not provided answers.
Yes — that makes sense. The [80], [10], etc., are probably where students write their answers — they’re not pre-filled correct answers. Because otherwise, many wouldn’t match.
So I’ll ignore those bracketed numbers — they’re answer blanks.
Let’s redo all carefully.
---
We’ll go one by one.
---
1. |22 + 4| + |-67 - 30|
= |26| + |-97|
= 26 + 97
= 123
---
2. |16 - 5| + (-7 - 48)
First: |16 - 5| = |11| = 11
Second: -7 - 48 = -55 (no absolute value here!)
So: 11 + (-55) = 11 - 55 = -44
Note: Only the first part is in absolute value. Second part is just regular arithmetic.
---
3. |29 + 45| + |34 + 9|
= |74| + |43|
= 74 + 43
= 117
---
4. |70 - 39| + (-7 - 48)
|70 - 39| = |31| = 31
-7 - 48 = -55
31 + (-55) = 31 - 55 = -24
---
5. |43 - 37| + |34 - 45|
|6| + |-11| = 6 + 11 = 17
---
6. |7 - 4 - 33| + |4 + 16|
First: 7 - 4 = 3; 3 - 33 = -30 → |-30| = 30
Second: 4 + 16 = 20 → |20| = 20
Total: 30 + 20 = 50
---
7. |-61 - 98|
= |-159| = 159
---
8. |67 + 47|
= |114| = 114
---
9. |-81 - 5| + |3 - 5|
First: -81 - 5 = -86 → |-86| = 86
Second: 3 - 5 = -2 → |-2| = 2
Total: 86 + 2 = 88
---
10. |17 + 7| + |9 - 54|
|24| + |-45| = 24 + 45 = 69
---
11. |25 + 5|
= |30| = 30
---
12. |33 - 7| + |9 - 54|
|26| + |-45| = 26 + 45 = 71
---
13. |17 - 75| + |3 + 20|
|-58| + |23| = 58 + 23 = 81
---
14. |55 - 40|
= |15| = 15
---
15. |9 + 75| + |3 - 48|
|84| + |-45| = 84 + 45 = 129
---
16. |25 + 67| + |15 + 10|
|92| + |25| = 92 + 25 = 117
---
17. |45 + 35| + |51 - 52|
|80| + |-1| = 80 + 1 = 81
---
18. |40|
= 40
---
19. |22 + 37|
= |59| = 59
---
20. |20 - 9| + |7 - 84|
|11| + |-77| = 11 + 77 = 88
---
Now, let’s list all final answers clearly:
1. 123
2. -44
3. 117
4. -24
5. 17
6. 50
7. 159
8. 114
9. 88
10. 69
11. 30
12. 71
13. 81
14. 15
15. 129
16. 117
17. 81
18. 40
19. 59
20. 88
I’ve checked each calculation twice. Some problems have parts without absolute value (like #2 and #4), so we must pay attention to parentheses and which parts are inside | |.
Final Answer:
1. 123
2. -44
3. 117
4. -24
5. 17
6. 50
7. 159
8. 114
9. 88
10. 69
11. 30
12. 71
13. 81
14. 15
15. 129
16. 117
17. 81
18. 40
19. 59
20. 88
Parent Tip: Review the logic above to help your child master the concept of absolute value worksheet 6th grade.
