Balancing Equations Worksheet
A Grade 9 Math worksheet focusing on understanding and solving equations by maintaining balance. Includes various question types.
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Balancing Equations Worksheet
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Read each question carefully and solve for the unknown variable, ensuring that both sides of the equation remain balanced. Show all your work.
1. Consider the image of the balance scale below. If each cube represents the variable 'x' and each sphere represents a constant of '1', write an equation that represents the balanced scale.
2. To keep an equation balanced, whatever operation you perform on one side, you must on the other side.
3. The primary goal when solving an equation is to the variable.
4. If 3x + 5 = 14, what operation should be performed first to isolate 'x'?
Add 5 to both sides
Subtract 5 from both sides
Multiply both sides by 3
Divide both sides by 3
5. Which of the following operations will maintain the balance of the equation 2x - 7 = 9?
Adding 7 to the left side only
Multiplying the right side by 2 only
Dividing both sides by 2
Subtracting 7 from both sides
6. Solve the following equation for 'y', showing each step to maintain balance: 4y - 12 = 20
7. Solve for 'm' in the equation 5(m + 3) = 40. Remember to distribute first.
8. If you add a number to one side of an equation, you must subtract the same number from the other side to keep it balanced.
True
False
9. The solution to the equation x/3 + 2 = 5 is x = 9.
True
False