Systems of Inequalities and Polynomials

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Presentation transcript:

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

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)

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

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?

Adding & Subtracting Polynomials

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.

Adding & Subtracting Polynomials

Multiplying Polynomials

Multiplying Polynomials

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

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

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

Factoring Polynomials Factor x2+9x+18

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

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)

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?

FACTORING POLYNOMIALS Factor: 5n2+19n+12

Simplifying Rational Expressions

Simplifying Rational Expressions

Simplifying Rational Expressions

Simplifying Rational Expressions

Simplifying Rational Expressions

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.