Creating Equations, Algebra Word Problems, solve for variables
One number is 10 more than another. The sum of twice the smaller plus three times the larger number is 55. What are the two numbers?
2x + 3(x + 10) =55 x=5
Julie has $50, which is eight dollars more than twice what John has. How much does John have?
2x+8=50 John has $21
Johny spent $42 for shoes. This was $14 less than twice what he spent for a tie. How much was the tie?
2x-14=42 The tie costed $28
Nine more than the quotient of a thirty and a number
30/x+9
Sally spent $35 at the market. This was seven dollars less than three times what she spent at the bookstore. How much did Sally spend there?
3x-7=35 She spent $14
The difference of four and a number is at least twenty one
4-x≥21
A membership at pool a costs $30 a month with an $80 dollar entry fee. A membership at pool b costs $45 a month with a $70 entry fee. How many months will it take for pool b to be less expensive than pool a?
45x+70<30x+80 Pool b is less expensive already
The product of four and a number increased by ten is twenty three
4x+10=23
Four times a number increased by 6
4x+6
There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
4x=b-3 x=(b-3)/4
Roger had 5 bucks. He was saving up for a baseball that costs 15 bucks. If he gets $0.50 a week, how many weeks does he have to work to have enough money for the baseball?
5+0.5x=15 It would take Roger 20 weeks
Six divided by a number is greater than thirty
6/x>30
George wanted to travel all the way from Boston to San Fransisco. They're driving at an average of 60 miles per hour. The total distance is 3,099 miles. How long did it take him to reach his destination?
60x=3,099 It took George 51.65 hours to reach San Fransisco
The product of seven and a number decreased by three
7x-3
The product of seven and a number is thirty five
7x=35
The sum of eight and a number is twelve
8+x=12
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
84=2x+12 36+48=84
Four less than the product of a number and eight
8x-4
The product of eight and a number is less than thirty two
8x<32
p=mn solve for m
m=p/n
xmp=r solve for m
m=r/xp
pm=nx solve for n
n=pm/x
xr=mn solve for n
n=xr/m
p=mns solve for s
s=p/mn
The sum of a number and six is at most twelve
x+6≤12
The sum of two consecutive numbers is twenty two
x+y=22
Ten less than a number is less than six
x-10<6
The difference of a number and four
x-4
Five less than a number
x-5
Six less than a number
x-6
Half of a number increased by three is thirteen
x/2+3=13
A number split into three equal groups
x/3
A third of a number is less than eleven
x/3<11
The quotient of a number and five is no less than twenty
x/5≥20
a=xr solve for x
x=a/r
a=xrt solve for x
x=a/rt
rn=px solve for x
x=rn/p
y-2x=5 solve for y
y=5+2x
y-x=5 solve for y
y=5+x
y+2x=5 solve for y
y=5-2x
y+x=5 solve for y
y=5-x
Payton Manning had only won 1 Superbowl. Tom Brady has won 4 Superbowl's. Joe Montana won x Superbowl's. If all together they won 9 Superbowl's, how many titles did Joe Montana win?
1+4+x=9 Joe Montana won 4 Superbowl's
Half of the sum of ten and a number
1/2(x+10)
Half of the sum of two different numbers is nineteen
1/2(x+y)=19
The sum of eleven and a number doubled
11+2x
The difference of fourteen and a number is greater than five
14-x>5
Twenty divided by a number increased by five
20/x+5