Solving for a Variable
This worksheet provides practice problems for solving linear and quadratic equations for a given variable, suitable for Grade 10 math students.
Includes
Standards
Topics
Solving for a Variable
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Date:
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Read each question carefully and solve for the indicated variable. Show all your work.
1. Solve for x: 3x + 7 = 22
2. Solve for y: 5(y - 4) = 30
3. Solve for z: 2z - 1 = 4z + 9
4. Which of the following is the correct solution for 'a' in the equation 4a - 10 = 2a + 2?
a = 4
a = 6
a = -4
a = -6
5. To solve for a variable, we use inverse operations to the variable on one side of the equation.
6. When solving 2x + 5 = 15, the first step is to subtract 5 from both sides, which is an example of the property of equality.
7. Solve for x: x² - 9 = 0
8. Solve for x using the quadratic formula: x² + 5x + 6 = 0
9. The image below represents a balanced equation. If the circles on the left side represent 'x' and the squares represent '1', what is the value of 'x'?
Left side: two circles and three squares. Right side: one circle and five squares.
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