Let’s solve each of the 8 two-step equations step by step. These involve decimals and require isolating the variable using inverse operations.
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1) -5.6p + 12.9 = -1.3p
We want to get all terms with
p on one side, constants on the other.
✔ Step 1: Add
5.6p to both sides to eliminate -5.6p from left:
> -5.6p + 12.9 + 5.6p = -1.3p + 5.6p
> → 12.9 = 4.3p
✔ Step 2: Divide both sides by 4.3:
> p = 12.9 ÷ 4.3
> p =
3
✔️
Answer: p = 3
---
2) -7.7 - n = 1
✔ Step 1: Add 7.7 to both sides:
> -n = 1 + 7.7
> → -n = 8.7
✔ Step 2: Multiply both sides by -1:
> n = -8.7
✔️
Answer: n = -8.7
---
3) 9.1 = 2y + 3.5
✔ Step 1: Subtract 3.5 from both sides:
> 9.1 - 3.5 = 2y
> → 5.6 = 2y
✔ Step 2: Divide both sides by 2:
> y = 5.6 ÷ 2
> y =
2.8
✔️
Answer: y = 2.8
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4) -6.5 = d/0.2 - 12
✔ Step 1: Add 12 to both sides:
> -6.5 + 12 = d/0.2
> → 5.5 = d/0.2
✔ Step 2: Multiply both sides by 0.2:
> d = 5.5 × 0.2
> d =
1.1
✔️
Answer: d = 1.1
---
5) (v - 10.9)/5 = -8.4
✔ Step 1: Multiply both sides by 5 to eliminate denominator:
> v - 10.9 = -8.4 × 5
> → v - 10.9 = -42
✔ Step 2: Add 10.9 to both sides:
> v = -42 + 10.9
> v =
-31.1
✔️
Answer: v = -31.1
---
6) -c - 2.1 = -14.7
✔ Step 1: Add 2.1 to both sides:
> -c = -14.7 + 2.1
> → -c = -12.6
✔ Step 2: Multiply both sides by -1:
> c = 12.6
✔️
Answer: c = 12.6
---
7) 7.3r - 15 = 6.3r
✔ Step 1: Subtract 6.3r from both sides:
> 7.3r - 6.3r - 15 = 0
> → 1.0r - 15 = 0
> → r - 15 = 0
✔ Step 2: Add 15 to both sides:
> r = 15
✔️
Answer: r = 15
---
8) 3.6 = 1.5(8.8 + x)
✔ Step 1: Divide both sides by 1.5:
> 3.6 ÷ 1.5 = 8.8 + x
> → 2.4 = 8.8 + x
✔ Step 2: Subtract 8.8 from both sides:
> x = 2.4 - 8.8
> x =
-6.4
✔️
Answer: x = -6.4
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✔ Final Answers:
1)
p = 3
2)
n = -8.7
3)
y = 2.8
4)
d = 1.1
5)
v = -31.1
6)
c = 12.6
7)
r = 15
8)
x = -6.4
Let me know if you’d like to see any step explained in more detail!
Parent Tip: Review the logic above to help your child master the concept of 2 step equation worksheet.
