Let’s solve each equation step by step. We’re solving one-step equations using addition or subtraction — that means we’ll do the opposite operation to get the variable alone on one side.
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1.) x – 7 = 14
Add 7 to both sides:
x = 14 + 7 →
x = 21
2.) –3 + x = 1
Add 3 to both sides:
x = 1 + 3 →
x = 4
3.) y + 9 = 1
Subtract 9 from both sides:
y = 1 – 9 →
y = -8
4.) r – 5 = –24
Add 5 to both sides:
r = –24 + 5 →
r = -19
5.) –20 + x = –4
Add 20 to both sides:
x = –4 + 20 →
x = 16
6.) n + 11 = 12
Subtract 11 from both sides:
n = 12 – 11 →
n = 1
7.) –9 + b = –20
Add 9 to both sides:
b = –20 + 9 →
b = -11
8.) m – 16 = –11
Add 16 to both sides:
m = –11 + 16 →
m = 5
9.) x – 1 = 10
Add 1 to both sides:
x = 10 + 1 →
x = 11
10.) r – 15 = 1
Add 15 to both sides:
r = 1 + 15 →
r = 16
11.) z + 18 = 35
Subtract 18 from both sides:
z = 35 – 18 →
z = 17
12.) y + 4 = –10
Subtract 4 from both sides:
y = –10 – 4 →
y = -14
13.) 2 + x = –2
Subtract 2 from both sides:
x = –2 – 2 →
x = -4
14.) g – 19 = –4
Add 19 to both sides:
g = –4 + 19 →
g = 15
15.) k + 6 = 12
Subtract 6 from both sides:
k = 12 – 6 →
k = 6
16.) –13 + x = –5
Add 13 to both sides:
x = –5 + 13 →
x = 8
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Final Answer:
1.) x = 21
2.) x = 4
3.) y = -8
4.) r = -19
5.) x = 16
6.) n = 1
7.) b = -11
8.) m = 5
9.) x = 11
10.) r = 16
11.) z = 17
12.) y = -14
13.) x = -4
14.) g = 15
15.) k = 6
16.) x = 8
Parent Tip: Review the logic above to help your child master the concept of 7th grade math.
