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Math 9 Unit 4 Polynomials Review Portfolio Name:___________________ Home Room______________ Part A Practice MC and NR /4 Show work where applicable Check your answer Part B Practice Written Response /6 Show your work Check your answer Total /10 Study Guide Definitions you need to know Constant Distributive Property Numerical Coefficient Variable Literal Coefficient Term Like Terms Expression Polynomial Monomial Binomial Trinomial Degree Standard Form Additive Inverse Operations that you need to be able to do Operation Adding polynomials (with tiles as well) Subtracting polynomials (with tiles as well) *Additive Inverse Multiplying and Dividing Monomials Multiplying Polynomials by a Monomial (with tiles as well) Dividing Polynomials by a Monomial Definitions of terms Part A Practice Multiple Choice and Numerical Response 1. Which expressions are polynomials? A. B. C. D. 1, 2, 3, and 4 1 and 4 only 1, 2, and 4 1, 3, and 4 1. 7n 8n 9 2. 3 n3 3. 3 x 4. 3w 3 12 Answers MC 1. 2. 3. 4. 5. NR 1. 2 2. What is the perimeter of the figure expressed as an algebraic expression? 4m 2 n 4 B. 4m n 4 C. 4m 4n A. D. 4m 2 n 4 3. Which model represents the polynomial 2n 2 2n 4 ? A. B. C. D. 4. Which algebraic expression represents the difference modeled by the tiles? A. B. C. D. 2x 2x 2x 2x 2 2 2 2 3x 4 x x 1 3x 4 x x 1 3x 4 3x 5x 7 3x 4 x 2 x 1 2 2 2 5. The diagram represents a swimming pool surrounded by a measurements are in square meters. What is the area of A. 8a 2b 2 m2 B. 30ab2 m2 C. 42ab2 m2 patio. All the patio? D. 4ab 2b m2 Numerical Response 1. What is the coefficient of the x 2 term after simplifying? 17x 4x x 2 2 8x 3x 2 5x Part B Practice Written Response 1. Complete the table Algebra Tiles Simplified Algebraic Form 3x Name Monomial Substitute x2 32 6 a. b. 2. Identify polynomial type and degree Polynomial Type Degree a. x 2 yz 2 yz b. b 2 x 3 2x 2 4xy 2 c. 5 3. Write a polynomial to represent the perimeter of the figure below and name it. Polynomial _______________ Name ______________ 4. Add the following polynomials. a. 5x 2 3y 2 x 2 4 y b. 3x 2 7 x 5 x2 x 3 Substitute x 4 3 4 12 5. Subtract the following polynomials a. 3x 2 5x 7 2 x 2 4 x 9 b. 8x 2 2 x 1 3x 2 x 7 6. Simplify, then evaluate for x 2 a. 4x 2 3x x 2 2x 3x 2 x 7. Find the expression for each of the missing dimensions for the figure, shown left, if the perimeter is 7 x 9 . 8. Simplify. a. 4 x 2 2 xy 2 z b. s 2 t 2 3s 3t 2 9. Simplify. Positive exponents only a. 20 x 5 y 3 5x 4 y 6 b. 9ab 4 c. 45y 5 y 6 4 45 a 2 b 4 10. The rectangle has an area of 28x 5 y 2 . Find the missing dimension for the missing side. 7x 3 y ? 11. Expand and simplify a. x2 x 3 x 5 c. 3a 2a 2 4a 2 b. 5 y5 y 7 3 y3 y 5 b. 9a 4 12 a 3 15 a 2 12. Simplify a. 15 x 5 20 x 4 5 x 2 10 x 3 13. Write an expression for the area of the figure shown 14. Simplify 5 y 2 y2 y 3 3a 2 Answers Part A MC 1. B 5. B NR 1. 0 2. C 3. A 4. B Part B 1 a. x2 x binomial 2 20 b. x 2 x 1 trinomial 7 13 2 3 4 a. Binomial, 4 24 m n , binomial a. 6 x 2 3 y 2 4 y 5 a. x 2 9 x 2 6 6 x 2 6 x, 36 7 8 3x 3 a. 8x 3 y 2 z 9 a. 10 4x 2 y 11 a. 2 x 4 x 5 12 a. 13 5x 2 x 4 4y2 y 14 4x y3 2 3x 2 1 2x 2 2x b. trinomial, 5 c. monomial, 0 b. 2 x 2 8 x 2 b. 5x 2 3x 6 b. 3s 5 t 4 b. 1 5a c. 9y 2 b. 16 y 2 20 y c. 6a 12a 6a b. 3a 2 4a 5 3 2