Grade 6 Equivalent Equations Worksheet
Practice identifying and solving equivalent equations for 6th graders.
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Equivalent Equations Practice
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Read each question carefully and follow the instructions to determine equivalent equations or solve for the unknown variable.
Equivalent equations are equations that have the same solution(s). Think of an equation like a balance scale. Whatever you do to one side, you must do to the other to keep it balanced.
1. Which of the following equations is equivalent to x + 5 = 12?
x = 12 + 5
x = 12 - 5
x - 5 = 12
x + 12 = 5
2. Which operation would make 3y = 15 equivalent to y = 5?
Add 3 to both sides
Subtract 3 from both sides
Multiply both sides by 3
Divide both sides by 3
3. If you add a number to one side of an equation, you must the same number to the other side to keep the equation equivalent.
4. To make 10 = 2m equivalent to 5 = m, you need to both sides by 2.
5. The equation 4x = 20 is equivalent to x = 5.
True
False
6. Subtracting 7 from both sides of y + 7 = 10 results in an equivalent equation.
True
False
7. Write an equivalent equation for 9 - k = 4 by performing one operation on both sides.
8. Explain why 2x = 10 and 2x + 3 = 13 are equivalent equations.
Match each equation on the left with its equivalent equation on the right.
9. p + 8 = 15
a. p = 7
10. 6p = 42
b. p = 5
11. p - 3 = 2
c. p = 6