1. Systems of Inequalities and Polynomials
3rd Quarter Checkpoint
Systems of Inequalities and Polynomials

2. System of Linear Inequalities
The graph of a system of linear inequalities is shown below. Which ordered pair is a solution of the system?
a.(-2, 2)
b.(-3, -2)
c. (1 , -4)
d. (1 , 1)

3. Linear INequalities
The solution of which linear inequality is graphed below?
-2x+y<-2
-2x+y≤2
-2x+y≥2
-2x+y>-2

4. Systems of Linear Inequalities
Give the system of linear inequalities:
Which graph (a or b) is a representation of the system? Justify your answer.
What are two solutions of the system of inequalities represented by the graph you chose?

5. Adding & Subtracting Polynomials

6. Adding & Subtracting Polynomials
What expression would represent the length of the missing side?
Find the perimeter of the shape.
Justify your answers to parts a and b.

7. Adding & Subtracting Polynomials

8. Multiplying Polynomials

9. Multiplying Polynomials

10. Multiplying Polynomials
Use the figure below to answer the following questions.
What expression would represent the area of the rectangle?
If x= 5 in, what is the area of the rectangle?
2x + 7
8x - 5

11. Factoring and Rational Expressions
3rd Quarter Checkpoint
Factoring and Rational Expressions

12. Factoring Strategy Check for a GCF Number of Terms:
2 Terms: Difference of Two Squares
3 Terms
Guess and Check
Break up the B
4 Terms: Factor by Grouping
Repeat Step 2 until factored completely.
Check you answer by multiplication

13. Factoring Polynomials
Factor x2+9x+18

14. FACTORING POLYNOMIALS
Can we classify this trinomial c2+16c+64 as a perfect-square trinomial? Justify your answer.

15. FACTORING POLYNOMIALS
A garden is rectangular and has an area of x2-x-12 square yards. Factor this polynomials to find possible expressions for the length and width of the window. (Assume the factors are polynomials)

16. FACTORING POLYNOMIALS
The area of a rectangular window pane is x2+2x+5x+10. What is the product of binomials that represents the length and width?

17. FACTORING POLYNOMIALS
Factor: 5n2+19n+12

18. Simplifying Rational Expressions

19. Simplifying Rational Expressions

20. Simplifying Rational Expressions

21. Simplifying Rational Expressions

22. Simplifying Rational Expressions

23. Given a cube whose faces each have an area A=, the volume of the cube is given by the formula V=A3/2. Find the volume of a cube whose faces each have an area of 64 ft2.