Quadratics Graphs Systems of Equations Simplifying Perimeter, Area and Volume with Polynomials 200 200 200 200 200 400 400 400 400 400 600 600 600 600 600 800 800 800 800 800 1000 1000 1000 1000 1000 Factor or Use the Quadratic Formula: 2 𝑥 + 7𝑥 + 10 Answer Factor or Use the Quadratic Formula: 3 2 𝑥 +7𝑥 Answer Factor if possible or Use the Quadratic Formula: 2 𝑥 − 3𝑥 − 3 Answer Factor if possible or Use the Quadratic Formula: 2 2𝑥 − 9𝑥 − 5 Answer Factor if possible or Use the Quadratic Formula: 3 2 4𝑥 − 14𝑥 − 8𝑥 Answer 𝑮𝒓𝒂𝒑𝒉 𝒐𝒇: 𝒙 − 𝟒 𝒙 + 𝟐 The Vertex is at (1, -9) Where is the graph increasing? Answer Determine the degree and number of intercepts for the following equation: 3 𝑥 𝑥−5 𝑥−2 =0 Answer What is the Vertex, Line of Symmetry, Range and X – intercepts of the graph: Answer What is the Vertex and line of symmetry? Does the graph open up or down? 2 𝑦 = 𝑥−4 +6 Answer What is the equation of this parabola? Answer Solve each System of Equations: 2 𝑦 = 𝑥 + 7𝑥 + 12 𝑦 = 2𝑥 + 8 Answer Solve each System of Equations: 2 𝑦 =𝑥 +𝑥+6 𝑦 = −2𝑥 + 10 Answer Solve each System of Equations: 2𝑥 − 𝑦 = 10 5𝑥 + 3𝑦 = 3 Answer Solve each System of Equations: 3 1 𝑥+ 𝑦=5 4 5 3 1 𝑥 − 𝑦 = −5 4 5 Answer Solve each System of Equations: 2 𝑦 = 3𝑥 − 𝑥 − 2 𝑦 = −2𝑥 + 2 Answer Simplify: 8 8 83 Answer Simplify: 8 12 𝑥 𝑦 𝑥𝑦 9 Answer Simplify: −2 13 5−3 Answer Simplify: 3𝑚𝑛 6𝑛 2 2 Answer Simplify: −2 3 𝑎𝑏 𝑎4 𝑏 9 −2 Answer Find the Perimeter of the Rectangle if the length of a square is 2x-1 Answer Find the volume of a cube if the length is x+4, the width is x+1 and the depth is x. Answer Write and simplify an expression for the area of a rectangle if the length is 4x+5 and the width is 3x-1 Answer What is the length of the square if the width is 2x+4 and the perimeter is 6x+14? Answer The area of a rectangle is 4 6 10 45𝑥 𝑦 𝑧 2 The width is 5𝑥𝑦 Find the missing length. Answer (𝑥 + 2)(𝑥 + 5) Game Board 2 𝑥 (𝑥 + 7) Game Board 3 ± 21 2 Game Board (2𝑥 + 1)(𝑥 − 5) Game Board 2 2𝑥(2𝑥 − 7𝑥 − 4) Game Board 𝑥>1 Game Board 𝐷𝑒𝑔𝑟𝑒𝑒: 5, X − Intercepts: 3 Game Board 𝑉𝑒𝑟𝑡𝑒𝑥: 0, −4 𝐿𝑖𝑛𝑒 𝑂𝑓 𝑆𝑦𝑚𝑚𝑒𝑡𝑟𝑦: 𝑥 = 0 𝑅𝑎𝑛𝑔𝑒: −4 ≤ 𝑦 𝑋 − 𝐼𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡𝑠: −2, 0 𝑎𝑛𝑑 (2, 0) Game Board Vertex: (4,6) Line of Symmetry: x = 4 The Parabola opens UP Game Board 𝑦 = − 𝑥+4 2 −6 Game Board −1, 6 𝑎𝑛𝑑 (4, 0) Game Board 1, 8 𝑎𝑛𝑑 (−4, 18) Game Board (3, −4) Game Board (0, 25) Game Board 4 14 − , 𝑎𝑛𝑑 (1, 0) 3 3 Game Board 5 8 𝑜𝑟 32,768 Game Board 7 3 𝑥 𝑦 Game Board 3 5 125 𝑜𝑟 2 13 169 Game Board 2 2 𝑚 𝑛 4 Game Board 11 12 𝑎 𝑏 Game Board 8𝑥 − 4 𝑢𝑛𝑖𝑡𝑠 Game Board 3 2 𝑥 + 5𝑥 + 4𝑥 𝑢𝑛𝑖𝑡𝑠 𝑐𝑢𝑏𝑒𝑑 Game Board 2 12𝑥 + 11𝑥 − 5 units sqaured Game Board 𝑥 + 3 𝑢𝑛𝑖𝑡𝑠 Game Board 3 4 10 9𝑥 𝑦 𝑧 Bibliography 𝑢𝑛𝑖𝑡𝑠 Game Board Works Cited "Function Graphing Calculator." Algebra.Help. N.a., 2011. Web. 10 May 2013. [image]. <http://www.algebrahelp.com/calculators/function/graphing/>. "Graphing Calculator." Graphing Calculator. N.a., n.d. Web. 10 May 2013. [image]. <http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graph Calc.html>. Martin, Phillip. "Polynomials." Free Math Clip Art by Phillip Martin,. N.a., 2013. Web. 10 May 2013. [image]. <http://math.phillipmartin.info/math_polynomials.htm>. "Multiplication Sig Clip Art." Clker.com. N.a., n.d. Web. 10 May 2013.[image]. <http://www.clker.com/clipart-multiplication-sig.html>. "Plus Sign Clip Art." Clker.com. N.a., n.d. Web. 10 May 2013. [image]. <http://www.clker.com/clipart-3586.html>.