Adding and Subtracting Polynomials
(2x - 5y + 2) + (5x + 6y - 7)
7x + y - 5
(3y3z)(4y4z2)
12y7z3
3x(x2 - 2x + 4)
3x3 - 6x2 + 12x
A = P + Prt solve for t
t = (A - P)/Pr
Bicyclists Brent and Jane started at noon from points 60 km apart and rode toward each other, meeting at 1:30 pm. Brent's speed was 4 km/h greater than Jane's speed. Find their speeds.
Brent = 22 km/h
Jane = 18 km/h
(2x - 5) - (x - 2)
x - 3
(3x3)(1/6 x2)(8x)
4x6
1/3 x2(6x2 - 9xy - 3y2)
2x4 - 3x3y - x2y2
d = m/v solve for v
v = m/d
A helipcopter leaves Central Airport and flies north at 180 mi/h. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mi/h. How long does it take the plane to overtake the helicopter?
2/5 of an hour or 24 minutes
(5x - 3t - 7) - (x - 2t - 3)
4x - t - 4
(4xy)(2xy3)(-2y2)
-16x2y6
6r2(2r - 1) - 3r(4r2 - 5r)
9r2
m = (x+y)/2 solve for y
y = 2m - x
It takes a plane 40 min longer to fly from Boston to Los Angeles at 525 mi/h than it does to return at 600 mi/h. How long did the return trip take?
4 hours and 40 minutes
(3n2 + 5n - 6) + (-n2 - 3n + 3)
2n2 + 2n - 3
(2r3s4)4
16r12s16
(y+3)(y+2)
y2 + 5y + 6
C = 5/9 (F - 32) solve for F
F = 9/5 C + 32
It took Cindy 2 hours to bike from Abbott to Benson at a constant speed. The return trip took only 1.5 hours because she increased her speed by 6 km/h. Find their speeds.
18 km/h
24 km/h
(11n - 5) - (3n - 2) = -19
n=-2
(1/2 y)2(2y3)5
8y17
(m - 1)(m2 + 2m + 6)
m3 + m2 + 4m - 6
v2 = u2 + 2as Solve for s
s = (v2 - u2)/2a
Kwan hiked up a hill at 4 km/h and back down at 6 km/h. His total hiking time was 3 hours. How long did the trip up the hill take him?
1 hour 48 min