Equivalent Equations Worksheet
This worksheet focuses on identifying and manipulating equivalent equations for Grade 10 Algebra students.
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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.
1. Which of the following equations is equivalent to 3x - 5 = 7?
3x = 2
3x = 12
x - 5 = 7/3
x = 4
2. Which equation is equivalent to 2(y + 4) = 10?
2y + 4 = 10
y + 4 = 5
2y = 6
y = 6
1. The equation 5x + 1 = 11 is equivalent to 5x = 10.
True
False
2. Adding the same number to both sides of an equation always results in an equivalent equation.
True
False
1. To solve for x in the equation 2x + 8 = 16, the first step is to 8 from both sides.
2. An equation that has the exact same solutions as another equation is called an equation.
1. Explain why 2x + 4 = 10 and x + 2 = 5 are equivalent equations.
2. Write an equation that is equivalent to 4x - 6 = 2, but does not involve fractions.
Match the equation on the left with its equivalent equation on the right.
1. 3x + 9 = 15
a. x = 2
2. 2(x - 1) = 6
b. x = 4
3. x/2 + 3 = 7
c. x = 5