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Which expression is equivalent to 5x+2x5x + 2x?\newlineChoices:\newline(A) 7x7x\newline(B) x7x^7\newline(C) 8x8x\newline(D) x+7x + 7

Full solution

Q. Which expression is equivalent to 5x+2x5x + 2x?\newlineChoices:\newline(A) 7x7x\newline(B) x7x^7\newline(C) 8x8x\newline(D) x+7x + 7
  1. Identify Like Terms: To find the equivalent expression, we need to combine like terms. The like terms in this expression are 5x5x and 2x2x, since they both have the variable xx raised to the same power (which is 11).
  2. Combine Coefficients: We add the coefficients of the like terms together: 5+2=75 + 2 = 7. Therefore, 5x+2x=7x5x + 2x = 7x.
  3. Compare with Choices: Now we compare our result with the given choices to find the equivalent expression.\newline(A) 7x7x\newline(B) x7x^7\newline(C) 8x8x\newline(D) x+7x + 7\newlineThe correct choice that matches our result is (A) 7x7x.

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