1. POLYPACK REVIEW

2. Basic Polynomial Operations
Simplify each expression 5.

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

4. 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.

5. Factoring What is the Greatest Common Factor (GCF) :
A. 28, B. 48, 72, C. 15xy, 45x2, 60x2y2
Factor, write prime if it does not factor.
(use greatest monomial factor method)
A. 12a3b + 15ab2 B. 24x2 – 8x C. 18m2n m2n3 + 24m2n2
(use difference of square method)
D. x2 – 1 E. 9y2 – F. 4a2 – 81b2
(use grouping method)
G. n2 + 2n + 3mn + 6m H. 6ax – 3a + 4bx -2b

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

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

8. Solve using complete the square method or the Quadratic Formula.
Find the real zeros (x-intecepts/solutions) and vertex using Complete the square method.
Find the real zeros using the quadratic formula.

9. 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 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.