Let’s go through each equation one by one and solve them step by step. I’ll check my work as I go.
---
1. 54 ÷ t = -6
We want to find
t.
If 54 divided by t equals -6, then:
→ t = 54 ÷ (-6)
→ t = -9
✔ (Check: 54 ÷ (-9) = -6 → correct)
---
2. -2 × d = -8
We want to find
d.
Divide both sides by -2:
→ d = (-8) ÷ (-2)
→ d = 4
✔ (Check: -2 × 4 = -8 → correct)
---
3. 31 = -39 + u
We want to find
u.
Add 39 to both sides:
→ u = 31 + 39
→ u = 70
✔ (Check: -39 + 70 = 31 → correct)
---
4. -1 × p = 7
We want to find
p.
Divide both sides by -1:
→ p = 7 ÷ (-1)
→ p = -7
✔ (Check: -1 × (-7) = 7 → correct)
---
5. a ÷ (-3) = -1
We want to find
a.
Multiply both sides by -3:
→ a = (-1) × (-3)
→ a = 3
✔ (Check: 3 ÷ (-3) = -1 → correct)
---
6. w - 31 = 11
We want to find
w.
Add 31 to both sides:
→ w = 11 + 31
→ w = 42
✔ (Check: 42 - 31 = 11 → correct)
---
7. 4 × r = -4
We want to find
r.
Divide both sides by 4:
→ r = (-4) ÷ 4
→ r = -1
✔ (Check: 4 × (-1) = -4 → correct)
---
8. 77 = 28 + x
We want to find
x.
Subtract 28 from both sides:
→ x = 77 - 28
→ x = 49
✔ (Check: 28 + 49 = 77 → correct)
---
9. o ÷ 7 = -3
We want to find
o.
Multiply both sides by 7:
→ o = (-3) × 7
→ o = -21
✔ (Check: -21 ÷ 7 = -3 → correct)
---
10. v + 23 = -87
We want to find
v.
Subtract 23 from both sides:
→ v = -87 - 23
→ v = -110
✔ (Check: -110 + 23 = -87 → correct)
---
All equations are solved correctly.
Final Answer:
t = -9, d = 4, u = 70, p = -7, a = 3, w = 42, r = -1, x = 49, o = -21, v = -110
Parent Tip: Review the logic above to help your child master the concept of algebra 1 worksheet free.
