Word Problems
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
6x+7=331
x=54 students
two multiplied by a number
2x
Twice the sum of a number and 4
2(x+4)
Three times a number is equal to twenty-one.
3x=21
x=7
twice a number plus six is twenty
2x+6=20
x=7
Aaliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
24-7p=10
p=$2
The sum of twelve and a number
12+x
The difference between the square of a number and twenty-three
x2-23
A number divided by negative four is the same as twelve.
x/-4=12; x=-48
The times a quantity decreased seventeen yields thirteen.
3x-17=13
x=10
You bought a magazine for $5 and four erasers. You spend a total of $25. How much did each eraser cost?
5+4e=24
e=$4.75
The ratio of 63 and some number
63/x
Eight more than the quotient of fifty and some number
(50/x)+8
15 less than a number is identical to 18
x-15=18
x=33
Nine increased by the product of 5 and a number is equivalent to eight.
9+5x=8
x=-1/5
Maria had some boxes. Then, she bought seven more boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. How many did she start with?
(b+7)/2=22
b=37 boxes
A number less then 10
10-x
Half of the sum of six and a number
(1/2)(6+x)
fourteen times a number is ten.
14x=10
x=
10/14=5/7
Eleven less than the quotient of a number and twenty-five is negative six.
x/25-11=6; x=125
Jill sold half of her comic books and then bought sixteen more. She now has 36. How many did she have to begin with?
(x/2)+16=36
x=40 comic books
one-fifth of some number
1/5(x)
The square root of twenty-five less than some number
sqrt(x-25)
the square of a number equals 36
x2=36
x=6
Half the sum of x and eighteen is four.
1/2(x+18)=4; x=-10