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Math 2

This document is a 7th Grade Math extended worksheet created by Ms. Castillo, focusing on evaluating and writing algebraic expressions, using the distributive property, simplifying linear expressions, and solving one-variable equations. It includes various exercises for students to practice these skills, as well as a challenge word problem. The worksheet is structured into three parts: Algebraic Expressions & Simplifying, Distributive Property & Factoring, and Solving Equations with One Variable.

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learnbyjeferichrodriguez
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9 views2 pages

Math 2

This document is a 7th Grade Math extended worksheet created by Ms. Castillo, focusing on evaluating and writing algebraic expressions, using the distributive property, simplifying linear expressions, and solving one-variable equations. It includes various exercises for students to practice these skills, as well as a challenge word problem. The worksheet is structured into three parts: Algebraic Expressions & Simplifying, Distributive Property & Factoring, and Solving Equations with One Variable.

Uploaded by

learnbyjeferichrodriguez
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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7th Grade Math – Extended Worksheet #2

Quarter 4 | Teacher: Ms. Castillo


Name: ____________________________
Date: ____________________________

Learning Goals
• Evaluate and write algebraic expressions.
• Use the distributive property and factor expressions.
• Add, subtract, and simplify linear expressions.
• Solve one-variable equations using all four operations.

Part 1: Algebraic Expressions & Simplifying

(Ch. 3.1, 3.2 and Ch. 5.1, 5.2)

A. Evaluate Each Expression


1. 6x - 4, when x = 5
→ _______________________
2. 2a + 3b - 4, when a = 2, b = 3
→ _______________________
3. \frac{x + y}{2}, when x = 10, y = 6
→ _______________________

B. Write an Algebraic Expression


4. “Five times a number increased by 7”
→ _______________________
5. “A number m minus the sum of 6 and another number n”
→ _______________________

C. Combine Like Terms and Simplify


6. 7k + 4 - 2k + 1
→ _______________________
7. 2x + 3y - x + 5y
→ _______________________

Part 2: Distributive Property & Factoring

(Ch. 5.5)
A. Apply the Distributive Property
8. Expand: 4(x + 6)
→ _______________________
9. Expand: -3(2a - 5)
→ _______________________

B. Factor Each Expression


10. Factor: 8x + 12
→ _______________________
11. Factor: 5y - 10
→ _______________________

Part 3: Solving Equations with One Variable

(Ch. 6.1 – 6.3)

A. Use Addition or Subtraction to Solve


12. x + 9 = 21
→ _______________________
13. y - 4 = 12
→ _______________________

B. Use Multiplication or Division to Solve


14. 4z = 32
→ _______________________
15. \frac{m}{8} = 3
→ _______________________

Challenge Word Problem


16. A number is increased by 5, then multiplied by 3. The result is 36. What is the
number?

• Write an equation: _______________________


• Solve it: _______________________________

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