Unit 5 Test Polynomials Review Algebra I
1. Find the degree of a monomial: a) 2 b) 4 c) 6 d) 7 2a 2 b 4 c
2. Find the degree of a polynomial: a) 2 b) 8 c) 16 d) 24 2a 3 b 5 + 3a 2 b 6 c 8
3. Find the Sum: a) 3x 2 – 2x + 1 b) X 3 + 2x 2 – 2x + 1 c) 3x 2 – 2x + 3 d) X 3 + 2x 2 – 3 (3x – 1 + 2x 2 ) + (x 3 – 5x + 2)
4. Find the Difference: a) x 2 – 9x + 6 b) x 2 – 9x – 6 c) x 2 – x + 6 d) x 2 – x – 6 (x 2 – 5x) – (4x – 6)
5. The length of a picture is 4 times the width. A picture frame has been added that measures 5 inches thick on each side. *What is the area of the picture? *The area of the picture and frame? *The area of only the picture frame? w 4w W w + 10 *A = l x w A = 4w(w) A = 4w 2 A = l x w A = (4w + 10)(w + 10) A = 4w w + 10w A = 4w w w w w 2 50w + 100
6. Find the product: (x – 3)(x – 8) x 2 – 11 x + 24
7. Which expression represents the area of the rectangle?
8. Simplify: (x + 8) 2 x x + 64
9. Simplify: -2x 2 (x 2 – 3x + 2) -2x 4 + 6x 3 – 4x 2
10. Simplify: (3x – 4)(3x + 4) 9x 2 – 16
11. Simplify: (2y + 1)(y 2 + 3y – 5) 2y 3 + 7y 2 – 7y – 5
12. Make sure you can factor X 2 + bx + c and ax 2 + bx + c as well as factor the GCF.
GOOD LUCK!!!