Checking Solutions to Equations
This worksheet helps students practice checking solutions to linear equations and understanding what a solution means.
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Checking Solutions to Equations
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Read each question carefully and follow the instructions. Show all your work for short answer questions.
An equation is like a balance scale. The solution to an equation is the value that makes both sides of the equation equal, keeping the scale balanced.
1. If you have the equation 2x + 1 = 7, what value of 'x' would make the scale balanced?
2. Which of the following is a solution to the equation 3x - 5 = 10?
x = 3
x = 4
x = 5
x = 6
3. To check if x = 2 is a solution to the equation 4x + 3 = 11, we substitute the value of x into the equation. 4(2) + 3 = 11 8 + 3 = 11 11 = 11 Since both sides are equal, x = 2 is a solution.
4. Check if m = 5 is a solution to the equation 2m - 7 = 3. 2( ) - 7 = 3 - 7 = 3 = 3 Is m = 5 a solution?
5. The value y = 4 is a solution to the equation 5y - 10 = 10.
True
False
6. The value z = -3 is a solution to the equation 2z + 8 = 2.
True
False
7. Is x = 6 a solution to the equation (1/2)x + 5 = 8? Show your work.
8. Is p = -2 a solution to the equation 3(p + 4) = 6? Show your work.
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