Balancing Equations - Grade 7
Practice balancing algebraic equations with this Grade 7 math worksheet.
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Balancing Equations - Grade 7
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Read each question carefully and solve for the unknown variable. Remember to keep the equation balanced by performing the same operation on both sides.
Solve each equation for the variable.
1. x + 7 = 15
2. y - 12 = 8
3. 3z = 21
4. a / 4 = 9
5. Which operation would you perform to solve the equation m - 5 = 10?
Subtract 5 from both sides
Add 5 to both sides
Multiply both sides by 5
Divide both sides by 5
6. Which equation is equivalent to 2x + 3 = 11?
2x = 8
2x = 14
x + 3 = 5.5
x = 8
Complete the steps to solve each equation.
7. 5x - 4 = 16
Add 4 to both sides: 5x =
Divide both sides by 5: x =
8. (y / 3) + 2 = 7
Subtract 2 from both sides: y / 3 =
Multiply both sides by 3: y =
Determine if the following statements are true or false.
9. To solve 4x = 20, you should divide both sides by 4.
True
False
10. If an equation is balanced, adding a number to one side requires subtracting the same number from the other side to maintain balance.
True
False
Read each word problem, write an equation, and solve.
11. Sarah has some apples. After she buys 5 more, she has a total of 12 apples. How many apples did Sarah have to begin with?
Equation:
Solution:
12. A number divided by 6 is equal to 4. What is the number?
Equation:
Solution:
The image below represents a balanced scale. If the total weight on the left side is 'x + 3' and the right side is '7', what is the value of 'x'?
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