Solve Word Problems Leading to Equations: CCSS.Math.Content.7.EE.B.4a - 7th Grade Math
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Erin is making thirty shirts for her upcoming family reunion. At the reunion she is selling each shirt for $18 apiece. If each shirt cost her $10 apiece to make, how much profit does she make if she only sells 25 shirts at the reunion?
Erin is making thirty shirts for her upcoming family reunion. At the reunion she is selling each shirt for $18 apiece. If each shirt cost her $10 apiece to make, how much profit does she make if she only sells 25 shirts at the reunion?
This problem involves two seperate multiplication problems. Erin will make $450 at the reunion but supplies cost her $300 to make the shirts. So her profit is $150.
This problem involves two seperate multiplication problems. Erin will make $450 at the reunion but supplies cost her $300 to make the shirts. So her profit is $150.
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Let 
be the temperature expressed in degrees Celsius. Then the equivalent temperature 
in degrees Fahrenheit can be calculated using the formula:
What is 
expressed in degrees Fahrenheit?
Let
What is
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Let 
be the temperature expressed in degrees Fahrenheit. Then the equivalent temperature 
in degrees Celsius can be calculated using the formula:
What is 
expressed in degrees Celsius (to the nearest degree)?
Let
What is
, which rounds to 
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On average, 1 in 50 apples that grow in an orchard will not be harvested. Of those, half will rot on the ground. If 500 apples are growing in an orchard, how many will rot on the ground?
On average, 1 in 50 apples that grow in an orchard will not be harvested. Of those, half will rot on the ground. If 500 apples are growing in an orchard, how many will rot on the ground?
If there are 500 apples and 1 in 50 will remain unharvested, then we can find the number of unharvested apples by multiplying.
10 apples will remain unharvested. Of those, half will rot on the ground. Multiply to find how many apples rot on the ground.
5 apples will rot on the ground.
If there are 500 apples and 1 in 50 will remain unharvested, then we can find the number of unharvested apples by multiplying.
10 apples will remain unharvested. Of those, half will rot on the ground. Multiply to find how many apples rot on the ground.
5 apples will rot on the ground.
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Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is 
years old?
Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is
Since Gary will be 37 in five years, he is 
years old now. He is twice as old as Cathy, so she is 
years old, and in five years, she will be 
years old.
Since Gary will be 37 in five years, he is
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Mark is three times as old as his son Brian. In ten years, Mark will be 
years old. In how many years will Mark be twice as old as Brian?
Mark is three times as old as his son Brian. In ten years, Mark will be
In ten years, Mark will be 
years old, so Mark is 
years old now, and Brian is one-third of this, or 
years old.
Let 
be the number of years in which Mark will be twice Brian's age. Then Brian will be 
, and Mark will be 
. Since Mark will be twice Brian's age, we can set up and solve the equation:
Mark will be twice Brian's age in 
years.
In ten years, Mark will be
Let
Mark will be twice Brian's age in
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Write as an equation:
"Ten added to the product of a number and three is equal to twice the number."
Write as an equation:
"Ten added to the product of a number and three is equal to twice the number."
Let 
represent the unknown quantity.
The first expression:
"The product of a number and three" is three times this number, or
"Ten added to the product" is
The second expression:
"Twice the number" is two times the number, or
.
The desired equation is therefore
.
Let
The first expression:
"The product of a number and three" is three times this number, or
"Ten added to the product" is
The second expression:
"Twice the number" is two times the number, or
The desired equation is therefore
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Write as an equation:
Five-sevenths of the difference of a number and nine is equal to forty.
Write as an equation:
Five-sevenths of the difference of a number and nine is equal to forty.
"The difference of a number and nine" is the result of a subtraction of the two, so we write this as
"Five-sevenths of" this difference is the product of 
and this, or
This is equal to forty, so write the equation as
"The difference of a number and nine" is the result of a subtraction of the two, so we write this as
"Five-sevenths of" this difference is the product of
This is equal to forty, so write the equation as
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Write as an equation:
Twice the sum of a number and ten is equal to the difference of the number and one half.
Write as an equation:
Twice the sum of a number and ten is equal to the difference of the number and one half.
Let 
represent the unknown number.
"The sum of a number and ten" is the expression 
. "Twice" this sum is two times this expression, or
.
"The difference of the number and one half" is a subtraction of the two, or
Set these equal, and the desired equation is
Let
"The sum of a number and ten" is the expression
"The difference of the number and one half" is a subtraction of the two, or
Set these equal, and the desired equation is
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If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the 
to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by 
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above