It looks like you've uploaded a worksheet titled
"Solving Equations Using Properties of Equality" with 10 problems that require solving linear equations using the
balance scale method, which involves applying the
properties of equality (such as addition, subtraction, multiplication, and division properties).
Since I can't view images directly, I’ll need you to
describe the problems or type them out so I can help solve them step by step.
However, based on the format you provided, here’s an example of how such a worksheet might look and how to solve it:
---
Example Problem:
Solve: 3x + 5 = 14
We use the
balance scale method, meaning we do the same thing to both sides to keep the equation balanced.
#### Step-by-step solution:
1. Subtract 5 from both sides:
$$
3x + 5 - 5 = 14 - 5 \\
3x = 9
$$
2. Divide both sides by 3:
$$
\frac{3x}{3} = \frac{9}{3} \\
x = 3
$$
✔ Check:
$$
3(3) + 5 = 9 + 5 = 14 \quad \text{✓}
$$
---
Now, please
type out the 10 problems from your worksheet (or list them), and I’ll solve each one for you, showing the steps and checks.
For example:
1. 3x + 6 = 18
2. x + 8 = 15
3. 4x = 20
... etc.
Once I have the actual equations, I’ll provide full solutions!
Parent Tip: Review the logic above to help your child master the concept of hands on equations worksheet.