Distributive Property with Variables Worksheet 6th Grade
The Distributive Property with Variables Worksheet is designed to help 6th grade students grasp the concept of distributing variables in algebraic expressions. This comprehensive worksheet provides a collection of practice problems that focus specifically on applying the Distributive Property to expressions involving variables. By engaging in this activity, students will gain a deeper understanding of how variables can be multiplied and combined in algebraic equations, enhancing their overall proficiency in solving equations.
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Simplify the expression: 2(x + 3) Answer: 2x + 6
Correct! The simplified expression for 2(x + 3) is 2x + 6.
Expand the expression: 3(y - 7) Answer: 3y - 21
The expanded form of the expression 3(y - 7) is 3y - 21.
Simplify the expression: 4(a + b + c) Answer: 4a + 4b + 4c
Incorrect. The expression 4(a + b + c) simplifies to 4a + 4b + 4c.
Expand the expression: 5(2x - 3y) Answer: 10x - 15y
The expanded expression is: 10x - 15y.
Simplify the expression: 7(2x + 4y) Answer: 14x + 28y
Your simplified expression is correct: 7(2x + 4y) simplifies to 14x + 28y.
Expand the expression: 6(a + b - c) Answer: 6a + 6b - 6c
Correct! The expanded expression of 6(a + b - c) is 6a + 6b - 6c.
Simplify the expression: 8(3x - 2y + z) Answer: 24x - 16y + 8z
The simplified expression for 8(3x - 2y + z) is 24x - 16y + 8z.
Expand the expression: 9(a - b + c - d) Answer: 9a - 9b + 9c - 9d
The expanded expression of 9(a - b + c - d) is 9a - 9b + 9c - 9d.
Simplify the expression: 10(x + y + z - w) Answer: 10x + 10y + 10z - 10w
The simplified expression is 10x + 10y + 10z - 10w.
Expand the expression: 11(2a + 3b - 4c + 5d) Answer: 22a + 33b - 44c + 55d
The expanded expression of 11(2a + 3b - 4c + 5d) is 22a + 33b - 44c + 55d.
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