All Common Core: 7th Grade Math Resources
Example Questions
Example Question #2 : How To Solve Two Step Equations
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
Example Question #1 : Solving Systems Of Equations In Word Problems
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?
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.
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 years old?
Not enough information is given to determine the answer.
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.
Example Question #1 : Solving Linear Equations In Word Problems
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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
Example Question #1 : Solving Linear Equations In Word Problems
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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
Example Question #1 : Solving Linear Equations In Word Problems
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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
Example Question #2 : Solving Linear Equations In Word Problems
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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
Example Question #3 : Solving Linear Equations In Word Problems
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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
Example Question #1 : Solving Linear Equations In Word Problems
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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
Example Question #11 : Solve Word Problems Leading To Equations: Ccss.Math.Content.7.Ee.B.4a
If a rectangle possesses a width of and has a perimeter of , then what is the length?
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