Equations
-45=3n
n = -15
|n|=-12
No Solution
Solve for x.
r=x-h
x = r + h
Translate the sentence into an equation.
Two more than the product of a number and 8 is equal to 3.
Use the variable c for the unknown number.
2+8c=3
8c+2=3
6/9=5/p
p=15/2
p=7.5
(-4+m)/2=8
m = 20
|b+8|-8=-2
b = 2, b = -14
Solve for n.
3m+4n =d
n =(d-3m)/4
Three consecutive odd integers have a sum of 21. Find the integers.
x = 5
Integers: 5, 7, and 9
-2/4=8/(k-4)
k = -12
11+6r=r+5+2r
r = -2
|2k+1|/2=3
k = 5/2, -7/2
Solve for x.
z=(x+h)k
x=z/k-h
x=(z-kh)/k
A washer and a dryer cost $600 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?
Dryer costs $150
-6/(7n+2)=-8/6
n = 5/14
n = 0.357
1-5(1+8x)=156
x = -4
6|2+2n|-3=-3
n = -1
Solve for Z.
X=3/5(Y+Z)
Z=5/3X-Y
Z=(5X-3Y)/3
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 10 miles per hour slower than the westbound train. If the two trains are 510 miles apart after 3 hours, what is the rate of the eastbound train? Do not do any rounding.
80 miles per hour
-9/6=(7a-1)/a
a = 2/17
a = 0.117
-6b-6(3b-6)=4(1-2b)
b = 2
7+4|-7x+10|=51
x=-1/7,3
Solve for x.
1/4(x+y-z)=w
x = 4w + z - y
Chris drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Chris drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Chris live from the mountains? Do not do any rounding.
384 miles
-5/(x+2)=-4/(x-6)
x = 38