Equations with Variables on Both Sides

Practice solving linear equations with variables on both sides, including those with fractions and decimals.

Grade 10 Math AlgebraEquations with Variables on Both Sides

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Includes

4 Short AnswerCustom

Standards

CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

algebraequationsvariablesgrade 10

7 sections · Free to use · Printable

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Equations with Variables on Both Sides

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Solve each equation for the given variable. Show all your work. Simplify your answers.

1. Solve for x: 5x + 3 = 2x + 15

2. Solve for y: 7y - 10 = 3y + 6

3. Solve for a: 2(3a - 4) = 4a + 10

4. Solve for b: 5(b + 2) - 3b = 2(b + 7)

5. Solve for m: (1/2)m + 5 = (3/4)m - 1

6. Solve for n: (2/3)(n - 6) = (1/6)n + 4

7. Solve for p: 0.4p - 1.2 = 0.1p + 2.4

8. Solve for q: 2.5(q + 3) = 1.5q + 10.5

9. The perimeter of a rectangle is 36 cm. If the length is (2x + 1) cm and the width is (x + 2) cm, find the value of x and the dimensions of the rectangle.