Common Core: 7th Grade Math : Expressions & Equations
Study concepts, example questions & explanations for Common Core: 7th Grade Math
All Common Core: 7th Grade Math Resources
Example Questions
Example Question #502 : New Sat
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 #71 : Expressions & Equations
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 #504 : New Sat
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 #111 : New Sat Math Calculator
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 #21 : 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 #1 : Writing Inequalities
Write as an algebraic inequality:
Twenty subtracted from the product of seven and a number exceeds one hundred.
"The product of seven and a number " is 
Example Question #2 : Writing Inequalities
Write as an algebraic inequality:
Twice the sum of a number and sixteen is no less than sixty.
"The sum of a number and sixteen" is translates to 
Example Question #1 : Writing Inequalities
Write as an algebraic inequality:
Twice the sum of a number and sixteen does not exceed eighty.
"The sum of a number and sixteen" translates to 
Example Question #1 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
How would you write the equations: "I can spend no more than 
The way the sentence is phrased suggests that the person can spend up to 
So your answer is:
Example Question #2 : Solve Word Problems Leading To Inequalities: Ccss.Math.Content.7.Ee.B.4b
Given the following problem, write the inequality.
Seven less than two times a number is greater than fourteen.
Seven less than two times a number is greater than fourteen.
Let's look at the problem step by step.
If we do not know the value of a number, we give it a variable name. Let's say x. So, we see in the problem
Seven less than two times a number is greater than fourteen.
So, we will replace a number with x.
Seven less than two times x is greater than fourteen.
Now, we see that is says "two times" x, so we will write it like
Seven less than 2x is greater than fourteen.
The problem says "seven less" than 2x. This simply means we are taking 2x and subtracting seven. So we get
2x - 7 is greater than fourteen
We know the symbol for "is greater than". We can write
2x - 7 > fourteen
Finally, we write out the number fourteen.
2x - 7 > 14
All Common Core: 7th Grade Math Resources
