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7th Grade Expressions Equations

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7th Grade Expressions Equations worksheet preview

7th Grade Expressions & Equations

Mathematical expressions and equations illustration

📚 Part 1: Simplifying Expressions

1. Simplify the expression: 3x + 5x - 2

8x - 2

3x + 3

8x + 2

15x - 2

2. Which expression is equivalent to 4(2y + 3)?

6y + 7

8y + 3

8y + 12

4y + 12

3. Simplify: -2(x - 4) + 3x
4. Combine like terms: 7a + 2b - 3a + 5b

🔢 Part 2: Solving Equations

5. Solve for x: x + 12 = 20

x = 8

x = 32

x = -8

x = 12

6. Solve for y: 3y - 7 = 14

Show your work:

Answer: y = _______

7. Solve for m: 2(m + 5) = 18

Show your work:

Answer: m = _______

📝 Part 3: Word Problems

8. Sarah has $45. She buys 3 books that cost the same amount and has $12 left. Write an equation to find the cost of each book, then solve it.

Equation: ___________________

Each book costs: $ _______

9. The perimeter of a rectangle is 28 inches. The length is 3 inches more than twice the width. Find the width of the rectangle.

Let w = width. Write an equation:

Show your work:

Width = _______ inches

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