1
2
3
4
5
Final
100
Simplify:
sqrt(-100)
10i
100
Simplify:
-4+sqrt(-40)
-4+2isqrt(10)
100
What is the formula for the discriminant?
D=b^2-4ac
100
Simplify:
(2-6i)(-2+2i)
8+16i
100
Simplify:
sqrt(50)
5sqrt(2)
200
Simplify:
i^44
1
200
Simplify:
(2+6i)(2-6i)
40
200
Name the property:
(2+5i)*1=(2+5i)
Identity property of multiplication
200
Simplify:
(7+i)-(6-4i)
1+5i
200
Which sets are NOT closed under multiplication?
Irrational and Pure Imaginary
300
Identify the roots:
x={-1,4}
300
Solve by factoring:
x^2+5x-36
(x+9)(x-4)
x={-9,4}
300
Solve by square root:
16x^2+12=37
x={-5/4,5/4}
300
Solve using square root:
x^2+160=0
x=+-4isqrt(10)
300
Simplify:
i^25
i
400
Solve using the Quadratic Formula:
-x^2-6x+15=0
x={-3+-2sqrt(6)}
400
Determine how many, and what type of root(s).
f(x)=-x^2+4
2 real, rational roots
400
Determine the discriminant, and root(s)
f(x)=x^2-12
D=48
x={+-2sqrt(3)}
400
Determine the number and type of root(s):
f(x)=x^2+6x+9
1 Rational Root
400
Solve by completing the square:
x^2+6x-55=0
x={-11,5}
500
A rancher has an area for his chickens that is 7 feet by 16 feet. If he wants to double the area and increase the length and width by the same amount, what are the new dimensions of the chicken area?
L=20.6
W=29.6
500
A golfball is hit off of the ground and landed on the green. The height h, in feet after t seconds is modeled by the function h(t)=-16t^2+96t+8 if the green is 7 feet up in elevation compared to where it was hit, how long was the ball in the air? Round to 2 decimal places
About 6.01 seconds
500
A rectangular pool has a walkway around it. If the pool is 16 feet by 32 feet and the entire area of the walkway and the pool together is 924 feet. What is the width of the walkway?
3.72 feet
500
Find 3 consecutive positive integers such that the product of the smallest integer and the largest integer is 47 more than 8 times the median integer.
11, 12, 13
500
Find 3 consecutive even integers such that the sum of the 5 times the least and 3 times the greatest is 12 more than 7 times the middle number.
14, 16, 18
500
The following are the average temperatures on the first day of each month.
Using the data, Find the quadratic regression and estimate the temperature on November 1st.
(Round each number to 1 decimal place.
f(x)=-0.6x^2+11.2x+16.1
Nov: 54.4° F