Problem 1GA: Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size:... Problem 2GA: Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size:... Problem 3GA: Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size:... Problem 4GA: Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size:... Problem 5GA: Creating a Quadratic Model of the Form
Estimated time: 20 minutes
Group Size: 3
In an earlier group... Problem 6GA: Creating a Quadratic Model of the Form
Estimated time: 20 minutes
Group Size: 3
In an earlier group... Problem 7GA: Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size:... Problem 1RE: For Exercises 1–8, solve the equations by using the square root property. x 2 = 5 Problem 2RE: For Exercises 1–8, solve the equations by using the square root property. 2 y 2 = − 8 Problem 3RE: For Exercises 1–8, solve the equations by using the square root property.
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Problem 4RE: For Exercises 1–8, solve the equations by using the square root property. 3 b 2 = − 19 Problem 5RE: For Exercises 1–8, solve the equations by using the square root property. ( x − 2 ) 2 = 72 Problem 6RE: For Exercises 1–8, solve the equations by using the square root property. ( 2 x − 5 ) 2 = − 9 Problem 7RE: For Exercises 1–8, solve the equations by using the square root property. ( 3 y − 1 ) 2 = 3 Problem 8RE: For Exercises 1–8, solve the equations by using the square root property. 3 ( m − 4 ) 2 = 15 Problem 9RE: The length of each side of an equilateraltriangle is 10 in. Find the exact height of the triangle.... Problem 10RE: Use the square root property to find the length of the sides of a square whose area is 81 in 2 . Problem 11RE: Use the square root property to find the exact length of the sides of a square whose area is 150in2.... Problem 12RE: For Exercises 12–15, find the value of n so that the expression is a perfect square trinomial. Then... Problem 13RE: For Exercises 12–15, find the value of n so that the expression is a perfect square trinomial. Then... Problem 14RE: For Exercises 12–15, find the value of n so that the expression is a perfect square trinomial. Then... Problem 15RE: For Exercises 12–15, find the value of n so that the expression is a perfect square trinomial. Then... Problem 16RE: For Exercises 16–21, solve the equation by completing the square and applying the square root... Problem 17RE: For Exercises 16–21, solve the equation by completing the square and applying the square root... Problem 18RE: For Exercises 16–21, solve the equation by completing the square and applying the square root... Problem 19RE: For Exercises 16–21, solve the equation by completing the square and applying the square root... Problem 20RE: For Exercises 16–21, solve the equation by completing the square and applying the square root... Problem 21RE: For Exercises 16–21, solve the equation by completing the square and applying the square root... Problem 22RE: Solve for r. V = π r 2 h ( r > 0 ) Problem 23RE: Solve for s. A = 6 s 2 ( s > 0 ) Problem 24RE: Explain how the discriminant can determine the type and number of solutions to a quadratic equation... Problem 25RE: For Exercises 25–30, determine the type (rational, irrational, or imaginary) and number of solutions... Problem 26RE: For Exercises 25–30, determine the type (rational, irrational, or imaginary) and number of solutions... Problem 27RE: For Exercises 25–30, determine the type (rational, irrational, or imaginary) and number of solutions... Problem 28RE: For Exercises 25–30, determine the type (rational, irrational, or imaginary) and number of solutions... Problem 29RE: For Exercises 25–30, determine the type (rational, irrational, or imaginary) and number of solutions... Problem 30RE: For Exercises 25–30, determine the type (rational, irrational, or imaginary) and number of solutions... Problem 31RE: For Exercises 31–38, solve the equations by using the quadratic formula. y 2 − 4 y + 1 = 0 Problem 32RE: For Exercises 31–38, solve the equations by using the quadratic formula.
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Problem 33RE: For Exercises 31–38, solve the equations by using the quadratic formula. 6 a ( a − 1 ) = 10 + a Problem 34RE: For Exercises 31–38, solve the equations by using the quadratic formula. 3 x ( x − 3 ) = x − 8 Problem 35RE: For Exercises 31–38, solve the equations by using the quadratic formula. b 2 − 4 25 = 3 5 b Problem 36RE: For Exercises 31–38, solve the equations by using the quadratic formula.
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Problem 37RE: For Exercises 31–38, solve the equations by using the quadratic formula. − 32 + 4 x − x 2 = 0 Problem 38RE: For Exercises 31–38, solve the equations by using the quadratic formula. 8 y − y 2 = 10 Problem 39RE: For Exercises 39–42, solve using any method. 3 x 2 − 4 x = 6 Problem 40RE: For Exercises 39–42, solve using any method. w 8 − 2 w = 3 4 Problem 41RE: For Exercises 39–42, solve using any method. y 2 + 14 y = 46 Problem 42RE: For Exercises 39–42, solve using any method. ( a + 1 ) 2 = 11 Problem 43RE: The landing distance that a certain plane will travel on a runway is determined by the initial... Problem 44RE: The recent population of Kenya (in thousands) canbe approximated by P(t)=4.62t2+564.6t+13,128 where... Problem 45RE: 45. A custom-built kitchen island is in the shape of a rectangle. The length is 1 ft more than twice... Problem 46RE: Lincoln, Nebraska, Kansas City, Missouri, and Omaha, Nebraska, form the vertices of a right... Problem 47RE: For Exercises 47–56, solve the equations. x − 4 x − 21 = 0 Problem 48RE: For Exercises 47–56, solve the equations.
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Problem 49RE: For Exercises 47–56, solve the equations. y 4 − 11 y 2 + 18 = 0 Problem 50RE: For Exercises 47–56, solve the equations.
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Problem 51RE: For Exercises 47–56, solve the equations.
51.
Problem 52RE: For Exercises 47–56, solve the equations. p 2 / 5 − 3 p 1 / 5 + 2 = 0 Problem 53RE: For Exercises 47–56, solve the equations. 2 t t + 1 + − 3 t − 2 = 1 Problem 54RE: For Exercises 47–56, solve the equations. 1 m − 2 − m m + 3 = 2 Problem 55RE: For Exercises 47–56, solve the equations.
55.
Problem 56RE: For Exercises 47–56, solve the equations. ( x 2 − 3 ) 2 − 5 ( x 2 − 3 ) + 4 = 0 Problem 57RE: For Exercises 57–64, graph the function and write the domain and range in interval notation. g ( x )... Problem 58RE: For Exercises 57–64, graph the function and write the domain and range in interval... Problem 59RE: For Exercises 57–64, graph the function and write the domain and range in interval notation. h ( x )... Problem 60RE: For Exercises 57–64, graph the function and write the domain and range in interval notation.
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Problem 61RE: For Exercises 57–64, graph the function and write the domain and range in interval notation. m ( x )... Problem 62RE: For Exercises 57–64, graph the function and write the domain and range in interval notation. n ( x )... Problem 63RE: For Exercises 57–64, graph the function and write the domain and range in interval notation. p ( x )... Problem 64RE: For Exercises 57–64, graph the function and write the domain and range in interval notation. q ( x )... Problem 65RE: For Exercises 65–66, write the coordinates of the vertex of the parabola and determine if the vertex... Problem 66RE: For Exercises 65–66, write the coordinates of the vertex of the parabola and determine if the vertex... Problem 67RE: For Exercises 67–68, write the equation of the axis of symmetry of the parabola. a ( x ) = − 3 2 ( x... Problem 68RE: For Exercises 67–68, write the equation of the axis of symmetry of the parabola. w ( x ) = − 4 3 ( x... Problem 69RE: For Exercises 69–72, write the function in the form f ( x ) = a ( x − h ) 2 + k ? by completing the... Problem 70RE: For Exercises 69–72, write the function in the form f ( x ) = a ( x − h ) 2 + k ? by completing the... Problem 71RE: For Exercises 69–72, write the function in the form by completing the square. Then write the... Problem 72RE: For Exercises 69–72, write the function in the form by completing the square. Then write the... Problem 73RE: For Exercises 73–76, find the coordinates of the vertex of each parabola by using the vertex... Problem 74RE: For Exercises 73–76, find the coordinates of the vertex of each parabola by using the vertex... Problem 75RE: For Exercises 73–76, find the coordinates of the vertex of each parabola by using the vertex... Problem 76RE: For Exercises 73–76, find the coordinates of the vertex of each parabola by using the vertex... Problem 77RE: For the quadratic equation y = 3 4 x 2 − 3 x , a. Write the coordinates of the vertex. b. Find the... Problem 78RE: For the quadratic equation y = − ( x + 2 ) 2 + 4 , a. Write the coordinates of the vertex. b. Find... Problem 79RE: The height h(t)(in feet) of a projectile fired verticallyinto the air from the ground is given by... Problem 80RE Problem 81RE: Write an equation of a parabola that passes through the points ( − 3 , − 4 ) , ( − 2 , − 5 ) , and (... Problem 82RE Problem 1T Problem 2T Problem 3T: For Exercises 1–3, solve the equation by using the square root property. ( m + 1 ) 2 = − 1 Problem 4T: Find the value of n so that the expression is a perfect square trinomial. Then factor the trinomial... Problem 5T Problem 6T Problem 7T Problem 8T Problem 9T Problem 10T Problem 11T: The base of a triangle is 3 ft less than twice the height. The area of the triangle is 14 ft 2 .... Problem 12T Problem 13T: For Exercises 13–21, solve the equation. x − x − 6 = 0 Problem 14T Problem 15T Problem 16T Problem 17T Problem 18T Problem 19T Problem 20T Problem 21T Problem 22T Problem 23T Problem 24T Problem 25T Problem 26T Problem 27T Problem 28T Problem 29T Problem 30T Problem 31T Problem 32T Problem 33T Problem 34T Problem 1CRE Problem 2CRE Problem 3CRE Problem 4CRE Problem 5CRE Problem 6CRE Problem 7CRE Problem 8CRE Problem 9CRE: 9. Solve the system of equations.
Problem 10CRE Problem 11CRE Problem 12CRE Problem 13CRE Problem 14CRE Problem 15CRE Problem 16CRE Problem 17CRE Problem 18CRE Problem 19CRE Problem 20CRE Problem 21CRE Problem 22CRE Problem 23CRE Problem 24CRE Problem 25CRE Problem 26CRE Problem 27CRE Problem 28CRE Problem 29CRE Problem 30CRE format_list_bulleted