6x + 2 = 38
x = 6
5x + 21 = 21
x = 0
-b-2>8
b<-10
Julie has $48 to spend at a carnival. The carnival charges $8 for admission and $5 per ride. What is the maximum number of rides Julie can go on?
8 rides
Solve for b.
y=mx+b
b = y - mx
y = 5x - 6
x=(y+6)/5
5 + 2x = 2x + 6
No solution
13 − 4x = 1 − x
x = 4
x+1+4>=9
x>=4
A computer repairman charges $50 to come to a home or office, plus $30 per hour of work. During one week, he visits 12 homes or offices earning $1,800. How many hours did the repairman work?
40 hours
Solve for y.
ax+by=c
y = (c-ax)/b
What is the solution to
3x – 5 = -(3 – 2x)
x=2
n + 2 = −14 − n
n = -8
−31 − 4x = −5 − 5(1 + 5x)
x = 1
-11>=6-2x-5
n>=6
Find three consecutive integers whose sum is 156.
51, 52, 53
Solve for z.
x=(yz)/6
z=(6x)/y
A certain minivan has a maximum carrying capacity of 1200 pounds. If the luggage weighs 150 pounds, what is the maximum weight allowable for passengers?
WRITE AN INEQUALITY.
x<=1050
12x + 1-9x = 13
x = 4
−5n − 8(1 + 7n) = −8
n = 0
33+4x<=-(x+7)
x<=-8
Tom’s telephone company charges a flat fee of $33.00 a month, plus $0.10 a minute for all long-distance calls made during the month. Tom’s bill for the month of June was $53.00 before taxes.
Write an equation that can be used to determine how many long-distance minutes, x, Tom used during the month of June.
$0.10m+$33.00 =$53.00
Solve for x.
7x-y=14
x=(14+y)/7
C
−3(x − 1) + 8(x − 3) = 6x + 7 − 5x
x = 7
8x + 4(4x − 3) = 4(6x + 4) − 4
Infinite solutions
-2(k-12)-5(k+2)<-9k+4k
k>7
A partially-filled water tank contains 300 gallons of water. Water is then pumped into the tank at a constant rate. After n minutes, the amount of water, W, in the tank is
W=300+9n
gallons. After how many minutes will
W=450
gallons?
About
16 2/3 minutes
Solve for R.
P=(R-C)/N
R=PN+C
C