New SAT Math - Calculator : Solving Linear Equations in Word Problems
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Example Questions
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 #4 : Solving Linear Equations In Word Problems
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 #2 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a
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
Example Question #11 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a
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
Example Question #12 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a
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
Example Question #8 : 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
Example Question #9 : 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
Example Question #10 : 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
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