POLYPACK REVIEW http://.

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Presentation transcript:

POLYPACK REVIEW http://

Basic Polynomial Operations Simplify each expression 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

Monomials/Exponents Simplify each expression A. B. C. A. B. C. Challenge Problems 4. Find the value of r. A. B.

Monomials/Exponents Multiply A. (4x)2 B. (2a2b)(4ab2) C. (4pq)(-2p2q3) D. (-5x2y3)(7xy4)(2xy) A. B. Multiply, then add or subtract. A. B. C. D.

Factoring What is the Greatest Common Factor (GCF) : A. 28, 49 B. 48, 72, 96 C. 15xy, 45x2, 60x2y2 Factor, write prime if it does not factor. (use greatest monomial factor method) A. 12a3b + 15ab2 B. 24x2 – 8x C. 18m2n4 - 12m2n3 + 24m2n2 (use difference of square method) D. x2 – 1 E. 9y2 – 16 F. 4a2 – 81b2 (use grouping method) G. n2 + 2n + 3mn + 6m H. 6ax – 3a + 4bx -2b

Factoring Factor each trinomial, write prime if it does not factor. A. B. C. D. E. F. G. H. I. J.

Solving equations using Factoring Find the solution: 1. put in standard form (set to zero) 2. factor completely 3. set each part to zero 4. solve for the variable. Identify the vertex and graph with using a graphing calculator. A. B. C. D. E. F. CHALLENGE PROBLEMS!!!!! G. H.

Solve using complete the square method or the Quadratic Formula. Find the real zeros (x-intecepts/solutions) and vertex using Complete the square method. 1. 2. 3. 4. Find the real zeros using the quadratic formula. 5. 6. 7. 8.

Solving quadratic word problems A square field had 9cm added to its length and 3cm added to the width. Its new area is 280cm2. Find the length of the original field. 2. The perimeter of a rectangular piece of property is 8 miles and its area is 3square miles. Find the dimensions. The area of a rectangular pool is 192 square meters. The length of the pool is 4meters more than its width. Find the length and width. Fourteen less than the square of a number is the same as five times the number. Find the number. The sum of the squares of two consecutive positive even integers is 340. Find the integers. Challenge: The sum of the squares of three consecutive, positive integers is equal to the sum of the squares of the next two integers. Find the five integers.