Common Core: 7th Grade Math : Solve Word Problems Leading to Equations: CCSS.Math.Content.7.EE.B.4a
Study concepts, example questions & explanations for Common Core: 7th Grade Math
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Example Questions
Example Question #1 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a
Let 
What is 
Example Question #1 : How To Solve Two Step Equations
Let 
What is 
Example Question #1 : How To Solve Two Step Equations
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.
Example Question #1 : Solving Linear Equations In Word Problems
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.
Example Question #2 : Solving Linear Equations In Word Problems
Write as an equation:
"Ten added to the product of a number and three is equal to twice the number."
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
Example Question #3 : Solving Linear Equations In Word Problems
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 
This is equal to forty, so write the equation as
Example Question #1 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a
Write as an equation:
Twice the sum of a number and ten is equal to the difference of the number and one half.
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
Example Question #1 : Word Problems
Mark is three times as old as his son Brian. In ten years, Mark will be 
In ten years, Mark will be 
Let 
Mark will be twice Brian's age in 
Example Question #1 : Word Problems
Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is 
Not enough information is given to determine the answer.
Since Gary will be 37 in five years, he is 
Example Question #5 : Solving Linear Equations In Word Problems
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 
Next, we can divide each side by
The length of the rectangle is
All Common Core: 7th Grade Math Resources
