Equations with Variables on Both Sides Distributive Property Worksheets Pdf
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Equations with Variables on Both Sides Distributive Property Worksheets Pdf
Equations with variables on both sides can be challenging for students to solve, but with the help of the distributive property, these equations can become more manageable. Distributive property allows us to distribute a number or variable to all terms inside parentheses in an equation, making it easier to simplify and solve the equation. In this article, we will explore how to use the distributive property in equations with variables on both sides and provide some worksheets in PDF format to practice solving these types of equations.
To understand how the distributive property works in equations with variables on both sides, let’s first consider a simple example:
3(x + 2) = 5x – 4
To solve this equation, we can distribute the 3 to both terms inside the parentheses on the left side of the equation:
3 * x + 3 * 2 = 5x – 4
3x + 6 = 5x – 4
Now, we can simplify the equation by moving all the terms with variables to one side of the equation and all the constant terms to the other side:
3x – 5x = -4 – 6
-2x = -10
Finally, we can solve for x by dividing both sides of the equation by -2:
x = 5
This is a simple example of how to use the distributive property in equations with variables on both sides. However, some equations may involve multiple variables and constants on both sides, making them more challenging to solve. To help students practice solving these types of equations, worksheets in PDF format can be a useful tool.
Here are some equations with variables on both sides distributive property worksheets in PDF format for students to practice:
Worksheet 1:
1. 2(3x + 4) = 3(2x – 1)
2. 4(x – 5) = 5(x + 2)
3. 6(2x + 3) = 4(x – 1)
4. 8(3x – 2) = 7(4x + 5)
5. 10(5x + 1) = 6(3x – 4)
Worksheet 2:
1. 3(2x – 3) = 4(3x + 1)
2. 5(x + 4) = 6(2x – 2)
3. 7(3x + 2) = 8(x – 3)
4. 9(4x – 1) = 10(5x + 2)
5. 11(6x + 3) = 12(7x – 4)
Worksheet 3:
1. 4(3x – 2) = 5(4x + 3)
2. 6(x + 1) = 7(2x – 2)
3. 8(2x + 3) = 9(x – 4)
4. 10(5x – 4) = 11(6x + 5)
5. 12(7x + 2) = 13(8x – 3)
These worksheets contain a variety of equations with variables on both sides that require students to apply the distributive property in order to solve them. By practicing these equations, students can improve their understanding of how to use the distributive property in equations with variables on both sides and become more proficient in solving them.
In conclusion, equations with variables on both sides can be challenging, but by using the distributive property, students can simplify and solve these equations more effectively. Worksheets in PDF format can provide valuable practice for students to improve their skills in solving equations with variables on both sides using the distributive property. By practicing these types of equations, students can enhance their problem-solving abilities and become more confident in their algebra skills.
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