Combine like terms: 3x + 4y + 5x - 2y.

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Multiple Choice

Combine like terms: 3x + 4y + 5x - 2y.

Explanation:
Combining like terms means adding coefficients of terms that share the same variable. Here, the x-terms are 3x and 5x, and the y-terms are 4y and -2y. Add the x-terms: 3x + 5x = 8x. Add the y-terms: 4y + (-2)y = 2y. Put the pieces together: 8x + 2y. Common mistakes include not combining the x terms (which would leave 3x + 4y) or misapplying the signs on the y terms (which could give 8x - 2y). The correct simplified form is 8x + 2y.

Combining like terms means adding coefficients of terms that share the same variable. Here, the x-terms are 3x and 5x, and the y-terms are 4y and -2y.

Add the x-terms: 3x + 5x = 8x.

Add the y-terms: 4y + (-2)y = 2y.

Put the pieces together: 8x + 2y.

Common mistakes include not combining the x terms (which would leave 3x + 4y) or misapplying the signs on the y terms (which could give 8x - 2y). The correct simplified form is 8x + 2y.

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