Quadratics Review and VDOE SOL Practice JEOPARDY! Click Once to Begin Quadratics Review and VDOE SOL Practice To change the question and answer slides, select the question or answer text box and type in your own questions and answers. To play, click on a question on the game board to go to that question. The house icon will take you to the game board and the question mark icon will take you to the answer slide. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

JEOPARDY! Simplify Radical Expressions Finding Roots Miscellaneous Quadratic Questions Inequalities Direct & Inverse Variation Other 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Simplifying Radical Expressions 100 Evaluate: 𝟑 𝟓𝟏𝟐 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 8 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Simplifying Radical Expressions 200 Simplify Completely: 𝟑𝟑𝟖 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝟏𝟑 𝟐 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Simplifying Radical Expressions 300 Which value can be placed under the radical symbol to make this statement true? 𝟑 =𝟔 𝟑 𝟑 A. 18 B. 54 C. 162 D. 648 E. 5832 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer D. 648 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Simplifying Radical Expressions 400 Simplify completely: 𝟒𝟒𝟖 𝒙 𝟏𝟎 𝒚 𝟗 𝒛 𝟐𝟓 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝟖 𝒙 𝟓 𝒚 𝟒 𝒛 𝟏𝟐 𝟕𝒚𝒛 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Simplifying Radical Expressions 500 Find the difference: 𝟒 𝟑 ×𝟓 𝟐𝟒 and 𝟐𝟎𝟎 𝟐𝟓 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

𝟏𝟏𝟖 𝟐 Answer Template by Modified by 𝟏𝟏𝟖 𝟐 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Finding Roots 100 The graph of 𝒇 𝒙 = 𝒙 𝟐 +𝟒𝒙−𝟓 is shown Finding Roots 100 The graph of 𝒇 𝒙 = 𝒙 𝟐 +𝟒𝒙−𝟓 is shown. Identify each solution to f(x) = 0. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer x = -5 x = 1 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Finding Roots 200 What are the solutions to the equation 𝟐 𝒙 𝟐 +𝟓𝒙+𝟑=𝟎 Finding Roots 200 What are the solutions to the equation 𝟐 𝒙 𝟐 +𝟓𝒙+𝟑=𝟎? A. x = 0.5 and x = -3 B. x = -1 and x = 6 C. x = -1 and x = -1.5 D. x = 1 and x = 5 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer C. x = -1 and x = -1.5 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Finding Roots 300 Identify each function that has exactly one zero. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

𝒈 𝒙 =𝟗 𝒙 −𝟖 j(x) = 𝒙 𝟐 −𝟖𝒙+𝟏𝟔 Answer Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Finding Roots 400 Identify each function that has an x-intercept of 3. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝒉 𝒙 = 𝟓 𝟑 𝒙−𝟓 𝒌 𝒙 =𝟑 𝒙 𝟐 −𝟏𝟏𝒙+𝟔 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Daily Double!!! Finding Roots 500 Find the roots using the quadratic formula. Write your answer in simplest radical form. 𝒇 𝒙 =𝟑 𝒙 𝟐 −𝟒𝒙−𝟏𝟎 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝒙= 𝟐± 𝟑𝟒 𝟑 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Miscellaneous Quadratic Questions 100 Find the discriminant Miscellaneous Quadratic Questions 100 Find the discriminant. Then, determine the number of solutions for each equation. 𝒇 𝒙 =𝟓 𝒙 𝟐 −𝟗𝒙+𝟐 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer Discriminant: -56 No Real Solution Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Miscellaneous Quadratic Questions 200 Solve the equation Miscellaneous Quadratic Questions 200 Solve the equation. Be sure to give a complete answer. −𝟓 𝒙+𝟗 𝟐 =−𝟗𝟖𝟎 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer x = 5 x = -23 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Miscellaneous Quadratic Questions 300 Find the roots by factoring: 𝒚=𝟒𝟖 𝒙 𝟐 +𝟔𝟐𝒙−𝟑𝟎 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝒙= −𝟓 𝟑 𝒙= 𝟑 𝟖 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Miscellaneous Quadratic Questions 400 Using the quadratic curve of best fit, which equation most closely represents the set of data?  { (-8, 80.4), (-7, 57.8), (-6, 38.6), (-5, 22.8), (3, 18.8), (5, 51.8), (7, 98.4)} A. 𝒚= 𝒙 𝟐 +𝟐𝒙−𝟓 B. 𝒚= 𝒙 𝟐 −𝟑𝒙+𝟓.𝟐 C. 𝒚=𝟏.𝟕 𝒙 𝟐 −𝟑𝒙+𝟓 D. 𝒚=𝟏.𝟕 𝒙 𝟐 +𝟐.𝟗𝒙−𝟓.𝟐 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer D. 𝒚=𝟏.𝟕 𝒙 𝟐 +𝟐.𝟗𝒙−𝟓.𝟐 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Miscellaneous Quadratic Questions 500 A function f is described Miscellaneous Quadratic Questions 500 A function f is described. ~ 𝑓 𝑥 = 𝑥−2 2 +3 ~ The domain of f is all real numbers greater than 0. The range of f is all real numbers greater than or equal to – A. 2 B. 3 C. 5 D. 7 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer B. 3 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Inequalities 100 Identify the property that justifies the work between Step 4 and Step 5. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer Multiplication Property of Inequality Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Inequalities 200 Solve for x: 𝟔𝒙 −𝟏𝟏 −𝟏𝟑𝒙<𝟕 −𝟓𝒙 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer x > -9 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Inequalities 300 Zac began graphing the system Inequalities 300 Zac began graphing the system. 𝒚≥ 𝟐 𝟑 𝒙+𝟏 𝟓𝒙+𝟔𝒚 ≤−𝟑𝟎 To complete the graph, Zac must shade the region which represents the solution set to the system of inequalities. What region of the graph needs to be shaded? Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 2 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Inequalities 400 Using the inequalities shown, create a system of two inequalities that could be represented by the graph. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝑦≥ −1 2 𝑥+2 2𝑥+5>𝑦 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

A Inequalities 500 Frank works at a convenience store. ~He earns $7.50 per hour during the day. ~He earns $12.50 per hour at night. ~He wants to earn at least $300 per week. Which graph best represents this situation? D B C Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer A Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Direct and Inverse Variation 100 Point A is an element of a direct variation. Plot two points, other than A, that are also elements of this direct variation. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Direct and Inverse Variation 200 A relation is shown in this table. Which statement about the relation is true? It is a direct variation because y = -2.5x + 12.5 It is an inverse variation because y = -2.5x + 12.5 It is a direct variation because 10 = xy It is an inverse variation because 10 = xy Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer D. It is an inverse variation because 10 = xy Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Direct and Inverse Variation 300 An experiment is conducted on a container of gas that is kept at a constant temperature. ~ When the pressure on the gas is 30 pounds per square inch, the volume is 120 cubic inches. ~When the pressure on the gas is 40 pounds per square inch, the volume is 90 cubic inches. Do the volume and pressure vary directly or indirectly? Why? Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer The volume of the gas varies inversely with the pressure because vp = 3,600. . Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Direct and Inverse Variation 400 Assume that x and y vary inversely Direct and Inverse Variation 400 Assume that x and y vary inversely. If x = 3 when y = 6, find x when y = -8. Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝑥= −9 4 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Direct and Inverse Variation 500 The number of tablespoons of sea salt needed in a saltwater fish tank varies directly with the number of gallons of water in the tank. A pet shop owner recommends adding 125 tablespoons of sea salt to a 20 gallon tank. How many tablespoons of salt should be added to a 35 gallon tank? Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝟐𝟏𝟖 𝟑 𝟒 Tablespoons Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Other 100 Michelle correctly solved a linear equation and the last line of her work was: 1 = 2. Which statement best describes the solution to the equation Michelle was solving? Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

The equation has no solutions. Answer Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Other 200 When factored completely, identify the factors of this polynomial. 𝟗 𝒙 𝟐 −𝟑𝟗𝒙−𝟑𝟎 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 3 3x+2 x - 5 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Other 300 “One more than one-forth the square of a number x is y.” Plot three points on the grid that are represented by this rule. Each point must have coordinates that are integers. “One more than one-forth the square of a number x is y.” Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer (-6, 10) (-4, 5) (-2, 2) (0, 1) (2, 2) (4, 5) (6, 5) Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Daily Double!!! In which table do the values represent the rule shown? “The square of the sum of x and 5 is equal to y.” Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Other 500 Write this expression in simplest form. 𝟏𝟓 𝒙 −𝟐 𝟑 𝟑 𝒙 −𝟒 −𝟑 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD

Answer 𝟓 𝒙 𝟏𝟖 Template by Modified by Bill Arcuri, WCSD Chad Vance, CCISD