Multi Step Equations
−6n − 2n = 16
n=-2
Solve for x:
4x-t=a
x= (a+t)/4
Solve
-1<9+n<17
-10<n<8
Solve
|k-2|=8
k= -6
WRITE the inequality. Solve for double points!
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
1.75+0.65m<=10
no more than 12.7 miles
x<=12.7
6r − 1 + 6r = 11
r=1
Solve for x:
xd/8= r
x= 8r/d
7v-5>65 or -3v-2>-2
v>10 or v<0
Solve
|6n|=6
n= 1
n= -1
WRITE the inequality. Solve for double points!
Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?
15.99x+9.99<=100
no more than 5 DVDs
x<=5
−10p + 9 p = 12
p=-12
Solve for x:
1-13w=2h+x
x= 1-13w-2h
-10n+3<-37 or 3n-10<-25
n>4 or n<-5
Solve
|-5n-7|=2
n= -9/5
n=-1
WRITE the inequality. Solve for double points!
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?
5.50x>=5225
At least 950 bags of dog food
x>=950
−13 = 5(1 + 4m) − 2m
m=-1
Solve for x:
-10r=-x-3v
x= 10r-3v
-1+5n>-26 and 7n-2<12
-5<n<2
n>-5 and n<2
Solve
|-6n-5|=41
n=-23/3
n=6
WRITE the inequality. Solve for double points!
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?
4+1.50x<=25
no more than 6 rides
x<=6
8 = 8v − 4(v + 8)
v=10
Solve for x:
z-y-x=15
x= -15-y+z
8x+8>-64 and -7-8x>-79
-9<x<9
x>-9 and x<9
Solve
|8+10k|=38
k=3
k=-23/5
WRITE the inequality. Solve for double points!
The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000?
15x-700>=1000
At least 113 tickets
x>=113