Let's solve each of these
one-step equations. These are simple linear equations where we need to isolate the variable $ x $ by performing one inverse operation (either addition or subtraction).
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🔷 General Rule:
- If $ x + a = b $, then $ x = b - a $
- If $ x - a = b $, then $ x = b + a $
We'll apply this rule to each equation.
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✔ Solutions:
1) $ x - 4 = 7 $
$ x = 7 + 4 = \boxed{11} $
2) $ x + 4 = 1 $
$ x = 1 - 4 = \boxed{-3} $
3) $ x + 5 = -3 $
$ x = -3 - 5 = \boxed{-8} $
4) $ x - 3 = 5 $
$ x = 5 + 3 = \boxed{8} $
5) $ x - 4 = 0 $
$ x = 0 + 4 = \boxed{4} $
6) $ x + 4 = -5 $
$ x = -5 - 4 = \boxed{-9} $
7) $ x - 4 = 1 $
$ x = 1 + 4 = \boxed{5} $
8) $ x + 2 = 2 $
$ x = 2 - 2 = \boxed{0} $
9) $ x + 4 = -8 $
$ x = -8 - 4 = \boxed{-12} $
10) $ x - 5 = 3 $
$ x = 3 + 5 = \boxed{8} $
11) $ x - 3 = -1 $
$ x = -1 + 3 = \boxed{2} $
12) $ x + 3 = -1 $
$ x = -1 - 3 = \boxed{-4} $
13) $ x - 5 = 8 $
$ x = 8 + 5 = \boxed{13} $
14) $ x + 2 = 7 $
$ x = 7 - 2 = \boxed{5} $
15) $ x - 5 = -4 $
$ x = -4 + 5 = \boxed{1} $
16) $ x + 4 = 0 $
$ x = 0 - 4 = \boxed{-4} $
17) $ x - 3 = -7 $
$ x = -7 + 3 = \boxed{-4} $
18) $ x - 3 = -6 $
$ x = -6 + 3 = \boxed{-3} $
19) $ x - 4 = 6 $
$ x = 6 + 4 = \boxed{10} $
20) $ x + 4 = 9 $
$ x = 9 - 4 = \boxed{5} $
21) $ x - 5 = -5 $
$ x = -5 + 5 = \boxed{0} $
22) $ x - 3 = -8 $
$ x = -8 + 3 = \boxed{-5} $
23) $ x - 2 = 10 $
$ x = 10 + 2 = \boxed{12} $
24) $ x - 2 = -3 $
$ x = -3 + 2 = \boxed{-1} $
25) $ x + 3 = 8 $
$ x = 8 - 3 = \boxed{5} $
26) $ x + 2 = -4 $
$ x = -4 - 2 = \boxed{-6} $
27) $ x - 5 = 2 $
$ x = 2 + 5 = \boxed{7} $
28) $ x - 3 = -2 $
$ x = -2 + 3 = \boxed{1} $
29) $ x + 4 = 6 $
$ x = 6 - 4 = \boxed{2} $
30) $ x + 5 = 11 $
$ x = 11 - 5 = \boxed{6} $
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📌 Summary of Answers:
| Problem | Answer |
|--------|--------|
| 1 | 11 |
| 2 | -3 |
| 3 | -8 |
| 4 | 8 |
| 5 | 4 |
| 6 | -9 |
| 7 | 5 |
| 8 | 0 |
| 9 | -12 |
| 10 | 8 |
| 11 | 2 |
| 12 | -4 |
| 13 | 13 |
| 14 | 5 |
| 15 | 1 |
| 16 | -4 |
| 17 | -4 |
| 18 | -3 |
| 19 | 10 |
| 20 | 5 |
| 21 | 0 |
| 22 | -5 |
| 23 | 12 |
| 24 | -1 |
| 25 | 5 |
| 26 | -6 |
| 27 | 7 |
| 28 | 1 |
| 29 | 2 |
| 30 | 6 |
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✔ All equations solved using
inverse operations: add or subtract the constant from both sides to isolate $ x $. Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of one step equations worksheet 7th grade.