Question

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared 2 x minus z minus 5 + 2 z squared Negative 2 x minus z minus 5 + 2 z squared Negative 2 x + z minus 5 + 2 z squared

Answer 1

Answer:B. 2 x minus z minus 5 + 2 z squared

Answer 2

• B. 2 x minus z minus 5 + 2 z squared

Explanation:

Conditions:

1. The x-term has a coefficient of 2,
2. The z-term has a coefficient of -1.
3. The expression has a constant term less than zero

Answer options:

A. 2 x + z + 5 minus 6 z squared ⇒ 2x +z+5-6z²

• Incorrect. Only the first condition is met

B. 2 x minus z minus 5 + 2 z squared ⇒ 2x-z-5+2z²

• Correct. All 3 conditions met

C. Negative 2 x minus z minus 5 + 2 z squared ⇒ -2x-z-5+2z²

• Incorrect. The first condition is not met

D. Negative 2 x + z minus 5 + 2 z squared ⇒ -2x+z-5+2z²

• Incorrect. Only the third condition met