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Chapter 6 Jeopardy Review Game
BackAnswer
Back
(6x + 15)(2x + 7)= 12x2 + 42x + 30x + 105
= 12x2 + 72x +105 square feet
Chapter 6 Jeopardy Review Game
BackAnswer
Back
(8x 1)(5x + 1) (3x + 1)(4x 1)= (40x2 + 8x 5x 1) (12x2 3x + 4x 1)= (40x2 + 3x 1) (12x2 + x 1)= 40x2 + 3x 1 12x2 x + 1
28x2 + 2x square units
Chapter 6 Jeopardy Review Game
BackAnswer
Expand & Simplify( 9d + 4e )2
Back
(9d + 4e)2= (9d + 4e)(9d + 4e)= 81d2 + 36de + 36de + 16e2
81d2 + 72de + 16e2
Chapter 6 Jeopardy Review Game
BackAnswer
Expand & Simplify1( 5x - 10)2 - ( 2x + 9 )25
Back
0.2(5x 10)(5x 10) (2x + 9)(2x + 9)= 0.2(25x2 50x 50x + 100) (4x2 + 18x + 18x + 81)= 0.2(25x2 100x + 100) (4x2 + 36x + 81)= 5x2 20x + 20 4x2 36x 81
x2 56x 61
Chapter 6 Jeopardy Review Game
BackAnswer
Expand & Simplify( 2x + 5 )2 - ( 3x - 2 )2
Back
(2x + 5)2 (3x 2)2= (2x + 5)(2x + 5) (3x 2)(3x 2)= (4x2 + 10x + 10x + 25) (9x2 6x 6x + 4)= (4x2 + 20x + 25) (9x2 12x + 4)= 4x2 + 20x + 25 9x2 + 12x 4
5x2 + 32x + 21
Chapter 6 Jeopardy Review Game
Back
Answer
Let h = -4.9t2 + 10t + 20 represents the height h of a ball in meters t
seconds after being thrown. How high above the ground is the ball 2.5 seconds after being launched?
Back
h = -4.9(2.5)2 + 10(2.5) + 20
14.375 meters
Chapter 6 Jeopardy Review Game
Back
Answer
Suppose a ball is thrown upward from a height of 4.5 feet with an initial velocity of 21 ft/sec. Write an equation relating the time t and
height h of the ball.(equation is of the form:h(t) = -1/2gt2 + vot + ho)
Back
h = (-1/2)gt2+ vot + ho
h = (-1/2)(32)t2 + (21)t + 4.5
h = -16t2 + 21t + 4.5
Chapter 6 Jeopardy Review Game
BackAnswer
Let h = -4.9t2 + 10t + 20 represents the height h of a ball in meters t seconds after being thrown. At what time will the ball hit the ground? Round your answer to the nearest hundredth.
Back
3.28 seconds after launch
cannot have a negative number of seconds so we disregard this answer.
Chapter 6 Jeopardy Review Game
Back
Answer
Solve the following equation:
3 = 5p + 2p2
Back
2p2 + 5p - 3 = 0
p = 1/2 and -3
Chapter 6 Jeopardy Review Game
BackAnswer
Use the discriminant to determine how many solutions
9 + 4y2 - 12y = 0 has.
Back
4y2 - 12y + 9 = 0
b2 - 4ac = discriminant.
b2 - 4ac = (-12)2 - 4(4)(9) = 144 - 144 = 0
This means that there isone real number solution.
Chapter 6 Jeopardy Review Game
BackAnswer
Graph the following parabola.
y - 2 = ( x + 3)2
Back
x y654321 0
116323611
Vertex
Chapter 6 Jeopardy Review Game
BackAnswer
y + 4 = 3 ( x - 1 )2
Rewrite the equation above in standard form.
Back
y + 4 = 3(x - 1)2
y + 4 = 3(x - 1)(x - 1)y + 4 = 3(x2 - x - x + 1)y + 4 = 3(x2 - 2x + 1)y + 4 = 3x2 - 6x + 3
y = 3x2 - 6x - 1
Chapter 6 Jeopardy Review Game
BackAnswer
Consider the parabola represented by the equation y - 7 = 3 ( x - 6 )2.
Find the vertex and axis of symmetry for the parabola.
Back
y - k = a(x - h)2 is the vertex form of a parabolawhere (h, k) is the vertex. The axis of symmetry is the vertical line that passes through the vertex. It
is ALWAYS x = h.
y - 7 = 3(x - 6)2
h = 6 and k = 7
Vertex: ( 6, 7 ) Axis of symmetry: x = 6
Chapter 6 Jeopardy Review Game
BackAnswer
y=-7x2 is translated 3 units right and 12 units down.
What is the equation for its image in vertex form?
Back
Vertex form is y - k = a(x - h)2. h is the number of units translated to the right and k is the number of
units translated up.
3 units right and 12 units down is represented by T3, -12.h = 3 and k = -12
y + 12 = -7 ( x - 3 )2
Chapter 6 Jeopardy Review Game
BackAnswer
Rewrite the following equation in vertex form by completing the square.
y = x2 + 10x + 22
Back
y = x2 + 10x + 22y - 22 = x2 + 10xy - 22 + 25 = x2 + 10x + 25y + 3 = (x + 5)2
y + 3 = (x + 5)2
Chapter 6 Jeopardy Review Game
BackAnswer
Simplify (4 + i)(9 - i).Give your answer
in a + bi form.
Back
(4 + i)(9 - i)36 - 4i + 9i - i2
36 + 5i - i2
36 + 5i - (-1)36 + 5i + 1
37 + 5i
Chapter 6 Jeopardy Review Game
BackAnswer
Simplify √-16 √-49.Give your answer
in a + bi form.
Back
(4i)(7i)28i2
28(-1)
-28 + 0i or -28
Chapter 6 Jeopardy Review Game
BackAnswer
Solve for p
2p - 8 = 23
Back p = 15 or p = 9
Chapter 6 Jeopardy Review Game
BackAnswer
Simplify (8 + i) - (12 - 6i).Give your answer
in a + bi form.
Back
(8 + i) - (12 - 6i)8 + i - 12 + 6i8 - 12 + i + 6i
-4 + 7i
Chapter 6 Jeopardy Review Game
BackAnswer
Solve the following equation. Leave your answer as an
exact value (no decimals).
-6t2 - 2 = -50
Back
t = ± √8
6t2 2 = 506t2 = 48t2 = 8
Chapter 6 Jeopardy Review Game
Simplify the following expression. Write your answer in a + bi form.
5 7i1 i
5 7i1 i
Simplify by multiplying both numerator and denominator by the complex conjugate of the denominator.