Let's solve each of these
linear equations in one variable step by step. The goal is to isolate the variable on one side of the equation.
---
1) $ x + 2.3 = 4.5 $
Subtract 2.3 from both sides:
$$
x = 4.5 - 2.3 = 2.2
$$
✔ Answer: 2.2
---
2) $ x - 2.3 = 4.5 $
Add 2.3 to both sides:
$$
x = 4.5 + 2.3 = 6.8
$$
✔ Answer: 6.8
---
3) $ y - 12.5 = 14 $
Add 12.5 to both sides:
$$
y = 14 + 12.5 = 26.5
$$
✔ Answer: 26.5
---
4) $ y + 12.5 = 14 $
Subtract 12.5 from both sides:
$$
y = 14 - 12.5 = 1.5
$$
✔ Answer: 1.5
---
5) $ 6.5 = m - 3.1 $
Add 3.1 to both sides:
$$
m = 6.5 + 3.1 = 9.6
$$
✔ Answer: 9.6
---
6) $ 6.5 = m + 3.1 $
Subtract 3.1 from both sides:
$$
m = 6.5 - 3.1 = 3.4
$$
✔ Answer: 3.4
---
7) $ c + 4.5 = 9.8 $
Subtract 4.5 from both sides:
$$
c = 9.8 - 4.5 = 5.3
$$
✔ Answer: 5.3
---
8) $ c - 4.5 = 9.8 $
Add 4.5 to both sides:
$$
c = 9.8 + 4.5 = 14.3
$$
✔ Answer: 14.3
---
9) $ f - 3.5 = 6.7 $
Add 3.5 to both sides:
$$
f = 6.7 + 3.5 = 10.2
$$
✔ Answer: 10.2
---
10) $ f + 3.5 = 6.7 $
Subtract 3.5 from both sides:
$$
f = 6.7 - 3.5 = 3.2
$$
✔ Answer: 3.2
---
✔ Final Answers:
1)
2.2
2)
6.8
3)
26.5
4)
1.5
5)
9.6
6)
3.4
7)
5.3
8)
14.3
9)
10.2
10)
3.2
---
🔍 Explanation Summary:
To solve linear equations in one variable:
- Use
inverse operations (addition/subtraction) to isolate the variable.
- Whatever you do to one side, do to the other to keep the equation balanced.
- Always check your answer by plugging it back into the original equation.
Let me know if you'd like a printable version or explanation with visuals!
Parent Tip: Review the logic above to help your child master the concept of linear equations in one variable worksheet.
