Quarterly Assessment 3 Warm Up # 3 Work on your Make up QA. If you are finish work on HW.

QA Review # 1 What is the square root of 0.36? What is the square root of 0.49? What is the square root of 0.64? What is the square root of 0.81? What is the square root of 0.0121? What is the square root of 0.0144? 0.6 0.7 0.8 0.9 0.11 0.12

What is the square root of 0.36? What is the square root of 0.16? Bell Work What is the square root of 0.36? What is the square root of 0.16? What is the square root of 0.0169? What is the square root of 0.0196? What is the square root of 0.09? What is the square root of 0.0225? 0.6 0.4 0.13 0.14 0.3 0.15

Bell Work What is the square root of 0.36? What is the square root of 0.49? What is the square root of 0.0256? What is the square root of 0.0289? What is the square root of 0.0361? What is the square root of 0.04? 0.6 0.7 0.16 0.17 0.19 0.2

Bell Work What is the square root of 0.64? What is the square root of 0.0169? What is the square root of 0.0225? What is the square root of 0.0441? What is the square root of 0.0121? What is the square root of 0.81? 0.8 0.13 0.15 0.21 0.11 0.9

Bell Work What is the square root of 0.01? What is the square root of 0.0144? What is the square root of 0.0289? What is the square root of 0.0361? What is the square root of 0.0484? What is the square root of 0.0625? 0.1 0.12 0.17 0.19 0.22 0.25

QA Review # 2 4x4y8z12 32x15y20z30 8x6y12z18 16x8y16z24 8x6y12z21 Which expression is equivalent to (2x2y4z6)2? Which expression is equivalent to (2x3y4z6)5? Which expression is equivalent to (2x2y4z6)3? Which expression is equivalent to (2x2y4z6)4? Which expression is equivalent to (2x2y4z7)3? Which expression is equivalent to (2x2y4z2)6? 4x4y8z12 32x15y20z30 8x6y12z18 16x8y16z24 8x6y12z21 64x12y24z12

Bell Work 4x4y8z14 32x15y15z30 8x6y12z18 16x4y16z24 8x6y12z12 Which expression is equivalent to (2x2y4z7)2? Which expression is equivalent to (2x3y3z6)5? Which expression is equivalent to (2x2y4z6)3? Which expression is equivalent to (2xy4z6)4? Which expression is equivalent to (2x2y4z4)3? Which expression is equivalent to (2x2y4z)6? 4x4y8z14 32x15y15z30 8x6y12z18 16x4y16z24 8x6y12z12 64x12y24z6

Bell Work 4x6y8z12 16x12y16z24 32x10y20z30 64x12y24z36 128x14y28z49 Which expression is equivalent to (2x3y4z6)2? Which expression is equivalent to (2x3y4z6)4? Which expression is equivalent to (2x2y4z6)5? Which expression is equivalent to (2x2y4z6)6? Which expression is equivalent to (2x2y4z7)7? Which expression is equivalent to (2x2y3z2)5? 4x6y8z12 16x12y16z24 32x10y20z30 64x12y24z36 128x14y28z49 32x10y15z10

Bell Work What is the square root of 0.09? What is the square root of 0.0144? What is the square root of 0.0324? What is the square root of 0.0361? What is the square root of 0.0400? What is the square root of 0.0625? 0.3 0.12 0.18 0.19 0.20 0.25

Bell Work 4x4y10z12 64x18y18z36 128x14y28z42 32x5y20z30 32x10y20z20 Which expression is equivalent to (2x2y5z6)2? Which expression is equivalent to (2x3y3z6)6? Which expression is equivalent to (2x2y4z6)7? Which expression is equivalent to (2xy4z6)5? Which expression is equivalent to (2x2y4z4)5? Which expression is equivalent to (2x11y5z)6? 4x4y10z12 64x18y18z36 128x14y28z42 32x5y20z30 32x10y20z20 64x66y30z6

Bell Work What is the square root of 0.64? What is the square root of 0.0169? What is the square root of 0.0225? What is the square root of 0.0441? What is the square root of 0.0121? What is the square root of 0.81? 0.8 0.13 0.15 0.21 0.11 0.9

Bell Work 4x4y8z12 32x15y20z30 8x6y12z18 16x8y16z24 8x6y12z21 Which expression is equivalent to (2x2y4z6)2? Which expression is equivalent to (2x3y4z6)5? Which expression is equivalent to (2x2y4z6)3? Which expression is equivalent to (2x2y4z6)4? Which expression is equivalent to (2x2y4z7)3? Which expression is equivalent to (2x2y4z2)6? 4x4y8z12 32x15y20z30 8x6y12z18 16x8y16z24 8x6y12z21 64x12y24z12

QA Review # 3 3x2 – 17x + 20 3x2 – 18x + 24 2x2 – 17x + 30 A rectangle has a length of 3x – 5 units and a width of x – 4 units. What is the area, in square units, of the rectangle? A rectangle has a length of 3x – 6 units and a width of x – 4 units. What is the area, in square units, of the rectangle? A rectangle has a length of 2x – 5 units and a width of x – 6 units. What is the area, in square units, of the rectangle? 3x2 – 17x + 20 3x2 – 18x + 24 2x2 – 17x + 30

Bell Work 11x2 – 49x + 20 6x2 – 36x + 48 36x2 + -75x + -66 A rectangle has a length of 11x – 5 units and a width of x – 4 units. What is the area, in square units, of the rectangle? A rectangle has a length of 3x – 12 units and a width of 2x – 4 units. What is the area, in square units, of the rectangle? A rectangle has a length of 4x – 11 units and a width of 9x + 6 units. What is the area, in square units, of the rectangle? 11x2 – 49x + 20 6x2 – 36x + 48 36x2 + -75x + -66

Bell Work 6x2 – 42x + 60 15x2 – 33x + -36 12x2 + -48 A rectangle has a length of 3x – 15 units and a width of 2x – 4 units. What is the area, in square units, of the rectangle? A rectangle has a length of 3x – 9 units and a width of 5x + 4 units. What is the area, in square units, of the rectangle? A rectangle has a length of 4x + 8 units and a width of 3x – 6 units. What is the area, in square units, of the rectangle? 6x2 – 42x + 60 15x2 – 33x + -36 12x2 + -48

QA Review # 4 -4x2 −6x+7 -3x2 −4x+7 2x2 +3x-12 4x3 −10x2-1 4x3 −10x2-5 Subtract 9x2 −2x−10 from 5x2 −8x−3. Subtract 8x2 −2x−10 from 5x2 −6x−3. Subtract 3x2 −12x−1 from 5x2 −9x−13. (8x3−3x2+10) + (−4x3−7x2−11) = (8x3−3x2+10) + (−4x3−7x2−15) = Add 9x2 −x−10 from 5x2 −7x−13 -4x2 −6x+7 -3x2 −4x+7 2x2 +3x-12 4x3 −10x2-1 4x3 −10x2-5 4x3 −10x2-1 14x2 −8x2-3

Bell Work -4x2 +7 -5x2 −4x+7 2x2 +2x-12 6x3 −13x2-1 -2x3 −10x2-5 Subtract 6x2 −2x−10 from 2x2 −2x−3. Subtract 13x2 −2x−10 from 8x2 −6x−3. Subtract 3x2 −9x−1 from 5x2 −7x−13. (8x3−6x2+10) + (−2x3−7x2−11) = (8x3−3x2+6) + (−10x3−7x2−11) = (8x3−4x2+9) + (−5x3−7x2−11) = Add 7x2 −x−10 from 13x2 −7x−13 -4x2 +7 -5x2 −4x+7 2x2 +2x-12 6x3 −13x2-1 -2x3 −10x2-5 3x3 −11x2-2 20x2 −8x2 – 23

Bell Work -5x2 +-6x+7 -4x2 −4x+7 -4x2 +3x-12 -3x3 −8x2-1 x3 −10x2-1 Subtract 10x2 −2x−10 from 5x2 −8x−3. Subtract 9x2 −2x−10 from 5x2 −6x−3. Subtract 5x2 −12x−1 from x2 −9x−13. (8x3−x2+10) + (−11x3−7x2−11) = (8x3−3x2+10) + (−7x3−7x2−11) = (8x3−5x2+10) + (7x3−7x2−11) = Add 9x2 −x−1 from 4x2 −7x−13 -5x2 +-6x+7 -4x2 −4x+7 -4x2 +3x-12 -3x3 −8x2-1 x3 −10x2-1 15x3 −12x2-1 13x2 −8x2 – 14

Bell Work -4x2 +9 -4x2 −4x+7 2x2 +2x-3 6x3 −13x2-3 -2x3 −10x2-12 Subtract 6x2 −2x−12 from 2x2 −2x−3. Subtract 13x2 −2x−10 from 9x2 −6x−3. Subtract 3x2 −9x−10 from 5x2 −7x−13. (8x3−6x2+12) + (−2x3−7x2−15) = (8x3−3x2+6) + (−10x3−7x2−18) = (8x3−4x2+9) + (−4x3−7x2−11) = Add 7x2 −x−10 from 11x2 −7x−13 -4x2 +9 -4x2 −4x+7 2x2 +2x-3 6x3 −13x2-3 -2x3 −10x2-12 4x3 −11x2-2 18x2 −8x2 – 23

Bell Work -5x2 +7 -6x2 −4x+7 4x2 +2x-12 7x3 −13x2-1 -8x3 −10x2-5 Subtract 6x2 −2x−10 from x2 −2x−3. Subtract 13x2 −2x−10 from 7x2 −6x−3. Subtract x2 −9x−1 from 5x2 −7x−13. (8x3−6x2+10) + (−x3−7x2−11) = (8x3−3x2+6) + (−16x3−7x2−11) = (8x3−4x2+9) + (−5x3−7x2−19) = Add 7x2 −x−10 from 13x2 −7x−13 -5x2 +7 -6x2 −4x+7 4x2 +2x-12 7x3 −13x2-1 -8x3 −10x2-5 3x3 −11x2-10 20x2 −8x2 – 23

QA Review # 5 Which of the following is the graph of y = x2 + 4x + 4?

Bell Work Which of the following is the graph of y = 2x2 + 4x + 4?

Bell Work Which of the following is the graph of y = x2 + 6x - 16?

Bell Work Which of the following is the graph of y = x2 + 2x -8?

Bell Work Which of the following is the graph of y = 2x2 + 4x + 4?

QA Review # 6 What is in factored form?

QA Review # 6B What is in completely factored form?

Bell Work What is in completely factored form?

Bell Work What is in completely factored form?

QA Review # 7 X= -2,8 X= -3 ,4 X= -2,4 X= -4,5 X= -3,10 What are the solutions for the equation x2 −6x = 16? What are the solutions for the equation x2 −x = 12? What are the solutions for the equation x2 −2x = 8? What are the solutions for the equation x2 −x = 20? What are the solutions for the equation x2 −7x =30? X= -2,8 X= -3 ,4 X= -2,4 X= -4,5 X= -3,10

Bell Work X= -3,5 X= -2,6 X= -2,5 X= -2,10 X= -5,6 What are the solutions for the equation x2 −2x = 15? What are the solutions for the equation x2 −4x = 12? What are the solutions for the equation x2 −3x =10? What are the solutions for the equation x2 −8x = 20? What are the solutions for the equation x2 −x =30? X= -3,5 X= -2,6 X= -2,5 X= -2,10 X= -5,6

Bell Work X= -3, 7 X= -2,9 X= -2,7 X= -4,9 X= -4,8 What are the solutions for the equation x2 −4x = 21? What are the solutions for the equation x2 −7x = 18? What are the solutions for the equation x2 −5x =14? What are the solutions for the equation x2 −5x = 36? What are the solutions for the equation x2 −4x =32? X= -3, 7 X= -2,9 X= -2,7 X= -4,9 X= -4,8

QA Review # 8 X= ½ , -3 X= -3 +/- √69 2 X= -4 +/- √96 4 X= -9 +/- √93 What are the solutions to the equation 2x2 + 5x – 3 = 0? What are the solutions to the equation x2 + 3x – 15 = 0? What are the solutions to the equation 2x2 + 4x – 10 = 0? What are the solutions to the equation x2 + 9x – 3 = 0? What are the solutions to the equation 2x2 + 6x – 1 = 0? What are the solutions to the equation 2x2 + 2x – 11 = 0? X= ½ , -3 X= -3 +/- √69 2 X= -4 +/- √96 4 X= -9 +/- √93 2 X= -6 +/- √44 4 X= -2 +/- √92 4

Bell Work X= -5 +/- √73 8 X= -3 +/- √69 6 X= -4 +/- √112 6 What are the solutions to the equation 4x2 + 5x – 3 = 0? What are the solutions to the equation 3x2 + 3x – 5 = 0? What are the solutions to the equation 3x2 + 4x – 8 = 0? What are the solutions to the equation x2 + 9x – 5 = 0? What are the solutions to the equation 2x2 + 6x – 2 = 0? What are the solutions to the equation 2x2 + 2x – 8 = 0? Bell Work X= -5 +/- √73 8 X= -3 +/- √69 6 X= -4 +/- √112 6 X= -9 +/- √101 2 X= -6 +/- √52 4 X= -2 +/- √68 4

Bell Work X= -5 +/- √37 2 X= 2, -5 X= -3 +/- √89 4 X= -8 +/- √76 2 What are the solutions to the equation x2 + 5x – 3 = 0? What are the solutions to the equation x2 + 3x – 10 = 0? What are the solutions to the equation 2x2 + 3x – 10 = 0? What are the solutions to the equation x2 + 8x – 3 = 0? What are the solutions to the equation 2x2 + 5x – 1 = 0? What are the solutions to the equation 2x2 + x – 9 = 0? Bell Work X= -5 +/- √37 2 X= 2, -5 X= -3 +/- √89 4 X= -8 +/- √76 2 X= -5 +/- √33 4 X= -1 +/- √73 4

QA Review # 9 x2 + 8x = 2 x2 + 10x = 15 x2 + 20x = 25 x2 + 12x = 10 What number should be added to both sides of the equation to complete the square? Then solve it. x2 + 8x = 2 x2 + 10x = 15 x2 + 20x = 25 x2 + 12x = 10 x2 + 22x = 30 16, X= -4 +/- √18 25, X= -5 +/- √40 100, X= -10 +/- √125 36, X= -6 +/- √46 121, X= -11 +/- √151

Bell Work x2 + 8x = 7 x2 + 10x = 22 x2 + 20x = 30 x2 + 12x = 12 What number should be added to both sides of the equation to complete the square? Then solve it. x2 + 8x = 7 x2 + 10x = 22 x2 + 20x = 30 x2 + 12x = 12 x2 + 22x = 40 16, X= -4 +/- √23 25, X= -5 +/- √47 100, X= -10 +/- √130 36, X= -6 +/- √48 121, X= -11 +/- √161

QA Review # 10 a = 1, b = 3, c = -5 a = 1, b = 5, c = -12 An equation in the form ax2 + bx + c = 0 is solved by the quadratic formula. The solution to the equation is shown below. What are the values of a, b, and c in the quadratic equation? 1) 2) a = 1, b = 3, c = -5 a = 1, b = 5, c = -12

QA Review # 11 What are the roots of x2 + x – 6 = 0? What are the roots of x2 + 4x – 5 = 0? What are the roots of x2 + 2x – 1 = 0? What are the roots of x2 + 4x – 7 = 0? X = 2, -3 X = 1, -5 X= -2 +/- √8 2 X= -4 +/- √44 2

QA Review # 12 Find the following graph’s root?

QA Review # 13 What is the solution set for the equation x2 + 8x = –5? X= NO SOLUTION X= NO SOLUTION

QA Review # 14 How many times does the graph of the quadratic function f(x) = 3x2 + 2x + 8 intersect the x-axis? It intersects 0 times. 2. What is 2x3−10x2 – 12x in factored form? 2x( x+1)(x – 6) 3. What is 2x3−24x2 – 70x in factored form? 2x( x – 7)(x – 5) 4. What is 2x3+16x2 + 30x in factored form? 2x( x + 5)(x + 3) 5. What is 2x3−4x2 – 48x in factored form? 2x( x – 6)(x + 4)

QA Review # 15 Caleb kicked a ball. The function h(t) = −8t2+40t describes the height of the ball, in feet, t seconds after he kicked it. How many seconds did the ball take to first reach 48 feet? A ball is thrown in the air. The relationship between the time the ball is in the air in seconds (t) and the height of the ball in feet above the ground (h) is represented by h = −4t2 + 10t + 6. How many seconds will it take for the ball to hit the ground? T = 2 seconds T = 3, -1/2 seconds

QA Review # 16 An object is thrown upward. The height of the object after being thrown can be modeled by the equation h = –6t2 + 42t, where h is the height above the ground in meters and t is the time in seconds. At what time(s) would the object be located at 60 meters above the ground? Show your work. T = 2 seconds, 5 seconds

QA Review # 17 Sketch the graph of the equation on the grid below. Be sure to include the intercepts. Is the maximum height of the object greater than, less than, or equal to 60 meters? Explain your answer. T = 3.5 seconds; Height - 73.5

QA Review # 18 A graph of a quadratic function has x-intercepts at (7, 0) and (−5, 0). Which of the following quadratic functions could match this graph? Derive the quadratic equations. x2 – 2x – 35