Question

17. Which expressions contain exactly two terms? Choose ALL that is correct. A. -5 +6x +3y²B. 4xC. 7-9x D. (x + 2)(y - 4)E. 8x² + 5x

Answer 1

To be able to determine which among the expression contains exactly two terms, let's count how many terms each expression has.

A.) -5 +6x +3y²

The expression has the terms: -5, 6x and 3y²

Therefore, the total number of terms is 3.

B.) 4x

The expression has the terms: 4x

Therefore, the total number of terms is 1.

C.) 7-9x

The expression has the terms: 7 and -9x

Therefore, the total number of terms is 2.

D.) (x + 2)(y - 4)

Let's first expand the expression,

`\mleft(x+2\mright)\mleft(y-4\mright)\text{ = xy -4x + 2y - 8}`

The expression has the terms: xy, -4x, 2y and -8

Therefore, the total number of terms is 4.

E.) 8x² + 5x

The expression has the terms: 8x² and 5x

Therefore, the total number of terms is 2.

Conclusion: Only the expression at C and E contains exactly two terms.

Therefore, the answer is C and E.