Complex Numbers
The simplified version of
√ (-324)
What is 18i ?
The axis of symmetry and vertex of
f(x)=(x+2)2-16
What is x=-2
and (-2,-16) ?
The solution by graphing of
-3x2-6x=0
What is
x={-2,0} ?
The formula for the discriminant.
What is
d=b2-4ac ?
The chicken coup at the petting farm is 10ft by 14ft. The farm would like to double the current area by adding the same amount, x, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot.
14.85 ft wide
18.85 ft long
The simplified version of
(-4+7i)+(-3-8i)
What is -7-i ?
f(x)=x2+16x+63
What is x=-8
and (-8,-1) ?
The solution by factoring
2x2-32x+128=0
What is x={8} ?
The discriminant, the # and type of roots, the best method for finding the solution of
-x2+2x-8=0
What is
d=-28,
2 imaginary roots,
Completing the Square ?
Find three positive consecutive odd integers such that the sum of the squares of the smallest integer and the largest integer is 129 more than the square of the median integer.
9, 11, 13
The simplified version of the following fraction
3-6i
------
4-3i
What is
6-3i
--------
5
The factored form of the following quadratic equation:
f(x)=(x+2)2-16
What is
f(x)=(x+6)(x-2) ?
The solution of
-3x2+11=95
What is
x={± 2i✓7} ?
The discriminant, the # and type of roots, the best method for finding the solution of
-2x2+8=x2-28
What is d=432,
2 irrational roots,
Square Roots method?
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12 foot fence into the court. The height (in feet) of the ball, h, at time t seconds is given by the function
h(t)=-16t2+18t+5
Will she make it over the fence?
No, she will not make it over the fence.
The simplified version of (9+5i)(9-5i)
and all sets to which the value belongs.
What is 106
and
N,W,Z,Q,R,C ?
The standard form of the following quadratic equation:
F(x)=(x+2)2-16
What is
f(x)=x2+4x-12 ?
The solution to the equation
-4X2-48X-20=0
by completing the square.
What is
x={-6± ✓31} ?
The discriminant, the # and type of roots, the best method for finding the solution of
-2x2-5x-4=0
What is d=-7,
2 imaginary,
quadratic formula?
A punter kicked a football with an initial velocity of 84 feet per second. The height (in feet) of the ball, h, at time t seconds is given by the function
h(t)=-16t2+84t+2.
If the ball is caught by another player down the field at a height of 4 feet, how long was the ball in the air?
t=5.23 sec
The additive identity of (-10+4i).
What is 0?
2The vertex form of the equation
f(x)=x2+16x+63
What is
f(x)=(x+8)2-1 ?
The solution to the equation
-x2+3x-21=0
What is
x={(3± 5i✓3)/2} ?
The discriminant, the # and type of roots, the best method for finding the solution of
4x2+32x-36=0
What is d=1600,
2 rational roots,
factoring method?
y=3254.76 ft