Select all pairs of like terms in the expression 2x - 6 + 5x + 3. (Can be more than one answer!)

A. 2x and -6
B. -6 and 3
C. 2x and 5x
D. 3x and 3

1 answer

In the expression \( 2x - 6 + 5x + 3 \), like terms are terms that have the same variable raised to the same power.

Let's analyze the options:

A. \( 2x \) and \( -6 \) - Not like terms (one is a variable term and the other is a constant).

B. \( -6 \) and \( 3 \) - Like terms (both are constant terms).

C. \( 2x \) and \( 5x \) - Like terms (both are variable terms with the same variable \( x \)).

D. \( 3x \) and \( 3 \) - Not like terms (the first term is not present in the original expression).

So the pairs of like terms are:

  • B. -6 and 3
  • C. 2x and 5x
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