You’ve uploaded a worksheet titled
“One-Step Equations: Integers”, which contains 10 one-step equations to solve. Since I can’t “see” the image directly (as you mentioned), I’ll rely on the text you provided, which lists the equations clearly.
Let’s solve each equation step-by-step and explain the reasoning.
---
Equation 1: 18 = x + 6
Goal: Isolate `x`.
Subtract 6 from both sides:
> 18 – 6 = x + 6 – 6
>
12 = x
✔ Answer: x = 12
---
Equation 2: 8y = 48
Goal: Isolate `y`.
Divide both sides by 8:
> 8y ÷ 8 = 48 ÷ 8
>
y = 6
✔ Answer: y = 6
---
Equation 3: q – 12 = 1
Goal: Isolate `q`.
Add 12 to both sides:
> q – 12 + 12 = 1 + 12
>
q = 13
✔ Answer: q = 13
---
Equation 4: 18 = t/3
Goal: Isolate `t`.
Multiply both sides by 3:
> 18 × 3 = (t/3) × 3
>
54 = t
✔ Answer: t = 54
---
Equation 5: z/3 = 7
Goal: Isolate `z`.
Multiply both sides by 3:
> (z/3) × 3 = 7 × 3
>
z = 21
✔ Answer: z = 21
---
Equation 6: 11 = m – 4
Goal: Isolate `m`.
Add 4 to both sides:
> 11 + 4 = m – 4 + 4
>
15 = m
✔ Answer: m = 15
---
Equation 7: c – 19 = 2
Goal: Isolate `c`.
Add 19 to both sides:
> c – 19 + 19 = 2 + 19
>
c = 21
✔ Answer: c = 21
---
Equation 8: 1 + s = 3
Goal: Isolate `s`.
Subtract 1 from both sides:
> 1 + s – 1 = 3 – 1
>
s = 2
✔ Answer: s = 2
---
Equation 9: 24 = 4c
Goal: Isolate `c`.
Divide both sides by 4:
> 24 ÷ 4 = 4c ÷ 4
>
6 = c
✔ Answer: c = 6
---
Equation 10: n/3 = 9
Goal: Isolate `n`.
Multiply both sides by 3:
> (n/3) × 3 = 9 × 3
>
n = 27
✔ Answer: n = 27
---
##
✔ Final Answers:
1.
x = 12
2.
y = 6
3.
q = 13
4.
t = 54
5.
z = 21
6.
m = 15
7.
c = 21
8.
s = 2
9.
c = 6 *(Note: same variable as #7 — likely a typo in worksheet, but mathematically correct)*
10.
n = 27
---
## 💡 Key Concepts Used:
-
Addition/Subtraction Property of Equality: Add or subtract the same number from both sides to isolate the variable.
-
Multiplication/Division Property of Equality: Multiply or divide both sides by the same non-zero number to isolate the variable.
- Always perform the
inverse operation to undo what’s being done to the variable.
Let me know if you’d like these explained with diagrams or want to check your own answers!
Parent Tip: Review the logic above to help your child master the concept of 1 step equations worksheet.
