Combining Like Terms Difficult Worksheet

Are you searching for a worksheet that provides practice in combining like terms? Look no further! This worksheet is specifically designed to help students master the skill of simplifying expressions by combining like terms. Whether you are a middle school student just beginning to learn about combining like terms or a high school student looking for extra practice, this worksheet is the perfect resource.

  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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  Adding and Subtracting Integers Worksheet

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Simplify the expression: 3x + 2y - 4x - 3y

To simplify the expression 3x + 2y - 4x - 3y, combine like terms. This results in -x - y.

Combine the like terms in the expression: 2a^2 - 4ab + 3a^2 + 5ab

When we combine like terms in the expression 2a^2 - 4ab + 3a^2 + 5ab, we add the coefficients of the like terms. So, 2a^2 + 3a^2 = 5a^2 and -4ab + 5ab = 1ab or ab. Therefore, the simplified expression is 5a^2 + ab.

Simplify the equation: 7x - 5(x + 2) + 3(x - 4)

When simplifying the equation 7x - 5(x + 2) + 3(x - 4), distribute the coefficients inside the parentheses: 7x - 5x - 10 + 3x - 12. Then combine like terms: 7x - 5x + 3x - 10 - 12 = 5x - 22. So, the simplified form of the equation is 5x - 22.

Combine the like terms: 5m^2n - 2mn^2 + 3m^2n + 4mn^2

Combine the like terms in the given expression: 5m^2n + 3m^2n - 2mn^2 + 4mn^2. When combining like terms, the coefficients of the similar variables are added together. So, the simplified expression is 8m^2n + 2mn^2.

Simplify the expression: 2x^2 + 3xy - 4x^2 + 5xy

Simplify the expression: -2x^2 + 8xy

Combine the like terms in the equation: 4a + 3(2a - 5) + 2(3a + 4)

Combining the like terms in the equation 4a + 3(2a - 5) + 2(3a + 4) gives us 4a + 6a - 15 + 6a + 8 = 16a - 7.

Simplify the expression: 2x + 3y - x + 4y - x

Simplifying the expression 2x + 3y - x + 4y - x results in 0x + 7y, which simplifies further to just 7y.

Combine the like terms: 5ab - 2cd + 3ab + 4cd

To combine the like terms, we add the coefficients of terms with the same variables. In this expression, 5ab and 3ab are like terms, and when we add their coefficients we get 8ab. Similarly, -2cd and 4cd are like terms, and adding their coefficients gives us 2cd. Therefore, the simplified expression is 8ab + 2cd.

Simplify the equation: 6x - 2(y - 3) + 4(2x - y)

Simplified equation: 10x + 8y - 12

Combine the like terms in the expression: 5x^2y - 3xy^2 + 2x^2y + 4xy^2

To combine like terms in the expression 5x^2y - 3xy^2 + 2x^2y + 4xy^2, we add the coefficients that have the same variables raised to the same powers. This simplifies to 7x^2y + xy^2.