Solving Equations with Variables on Both Sides
Practice solving linear equations where variables appear on both sides of the equals sign.
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Solving Equations with Variables on Both Sides
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Read each question carefully and solve for the variable. Show all your work.
1. Solve for x: 5x + 7 = 3x + 15
2. Solve for y: 2(y - 4) = 5y + 1
3. Solve for z: 10 - 3z = 7z - 20
4. Which of the following is the correct solution for the equation 6a - 12 = 2a + 8?
a = 3
a = 5
a = 4
a = -5
5. To solve an equation with variables on both sides, the first step is often to the variable terms to one side of the equation.
6. An equation with variables on both sides can have one solution, no solution, or solutions.
7. The equation 3x + 5 = 3x - 2 has no solution.
True
False
8. Consider the balance scale below representing an equation.
If each cube on the left weighs 'x' units and the spheres on the right weigh 5 units each, write an equation that could represent this balance. Then, if there are 3 cubes on the left and 2 spheres on the right, and the right side also has a known weight of 10 units, what would the equation be?
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