Multi-Step Equations
-9.5b - 5 + 4.5b = 20
b = -5
2x = 11x + 45
x = -5
Solve for x.
2x+8=-4y
x=-2y+4
abs(x-4)=6
x=10 or x=-2
(2c - 1)/3 = -1
c = -1
0.7m = 0.9m + 2.4 - 0.2m
No Solution
Solve for a.
z-a=y
a=-y+z
-4 abs(3z-2)=-16
z=2 or z=-2/3
-2/3(4b + 1) = 10
b = -4
3/4x=1/2+2/3x
x = 6
Solve for m.
K=2/3(p+m)
m=3/2K-p
3 abs(4x-2)+7=4
No Solutions
-3(4x + 3) + 4(6x + 1) = 43
x = 4
14 - (2q + 5) = -2q + 9
Infinitely Many Solutions
Solve for a.
(a+b)/c=d
a=cd-b
abs(2x-7)=x+4
x=11 or x=1
Find three consecutive even integers whose sum is 30.
8, 10, 12
Tom Holland's sand castle is 188cm tall but the wind is blowing away sand at a rate of 8cm per minute. Britney Spears' sand castle is 160cm tall and she is adding sand to it at a rate of 6cm per minute. After how many minutes will their sand castles be the same height?
2 minutes
Solve for h.
W=1/2ph^2
h=sqrt((2W)/p
abs(3x+6)=abs(x-10)
x=-8 or x=1