Solving Multi-Step Equations
4n - 2n = 4
n=2
6 = -3(x+2)
x=-4
x+5=-2
x=-7
-6 = b/18
b=-108
Maria is trying to decide between two phone plans. Plan 1 charges $45 for 3 GB of data, while Plan 2 charges $60 for 5 GB of data. She wants the plan that gives her the most data for her money. Which plan should Maria choose?
Plan 2 has a better deal. $12 per GB versus $15 per GB for plan 1.
v=-2
-3(4r-8)=-36
r=5
-16 + x = -15
1
v/8 = 2
v=16
Two friends are bragging about their gaming stamina. Alex played for 18,000 seconds straight, while Jordan played for 5 hours. Who spent more time gaming?
They both play for the same amount of time.
3 = x + 3 - 5x
x=0
24=6(-x-3)
x=-7
7a-16=9
a=25/7
16 = k/11
k=176
At the grocery store, James notices two deals on rice. One bag is 2 pounds for $3.20, while another is 1.5 kilograms for $4.50. He wants the better price per unit of weight. Which bag is the better deal?
There are about 2.2 pounds per kilogram
Bag 2 has a better deal.
x + 3 - 3 = -6
x=-6
75=3(-6n-5)
n=-5
y/-5 = 2
y=-10
(2/3)x = -4
x=-6
During track practice, two runners are compared. Runner A completes 400 meters in 1 minute 30 seconds, while Runner B runs 1 mile in 7 minutes. The coach wants to know which runner has the faster speed. Who is faster?
There are about 1609.34 meters per mile
Runner A is faster
-12 = 3 - 2k -3k
k=3
-3(1+6r)=14-r
r=-1
-143 = -11x
(8z-3)/(3z) = 2
z=3/2
Two friends are bragging about their cars during a road trip. Car A travels 300 miles on 10 gallons of gas, while Car B travels 500 kilometers on 40 liters of gas. They argue over whose car is more fuel efficient. Which car wins?
There are 3.79 liters per gallon and 3281 feet per kilometer.
Car A has better fuel efficiency.