9P Unit Test: Polynomials

White tiles are positive and black tiles are negative.

How would you model the polynomial -3x²-4 with algebra tiles?

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Which of the following expressions are polynomials?
 

• iii and iv

• i, ii, and iii

• i, ii, and iv

• i  and iv

Use the above information to answer the question

• a

• b

• c

• d

Which of the following expressions is a binomial with degree 2?

• $x^2$ – 6x + 5

• $3x^2$
  

• $5x^2\ -\ 2$
  

• $\frac{1}{x^2}$ - 7

Combine like terms: 6x - 3 + 8x – 2x + 4x + 5

• 20x + 8

• 8x + 8

• 16x⁴ + 2

• 16x + 2

Subtract: (3y²-5x²+4)-(2x-8+4y²)

• -1y²-5x² = 2x - 4

• -4x+12

• 3y²-7x²+12

• -1y²-5x²-2x+12

Write the perimeter of this trapezoid as a polynomial in simplest form.

• 23x +17

• 23x + 11

• 23x⁴ + 11

• 23x⁴ + 17

The perimeter of a triangle is 24x - 6. The lengths of the two sides of the triangle are represented by the expressions

5x - 7 and 2x + 5

Which of the following expressions represents the length of the third side of the triangle?

• 17x + 8

• 17x – 8

• 17x + 4

• 17x - 4

Add: (3p²+2q²-pq) + (6pq-6q²+2p²)

• 6p²q²

• 3p²q² + 5pq

• 5p² – 4q² + 5pq

• 5p² – 8q² + 7pq

Divide: (12x² – 8x) ÷ 4x

• 12x² – 2x

• 3x – 2

• 8x – 4

• 3x² – 2x