All Basic Arithmetic Resources
Example Questions
Example Question #41 : Basic Arithmetic
Solve for t.
First start by distributing the 7.
Now, add both sides by 14.
Finally, divide both sides by 7.
Example Question #4 : Solving Equations With Whole Numbers
Solve for .
Start by adding 10 to both sides of the equation.
Then, divide both sides by .
Example Question #12 : Linear Equations With Whole Numbers
Solve for :
First, add to both sides of the equation:
Then, divide both sides by :
Example Question #42 : Basic Arithmetic
If , what is equal to?
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that is equal to and the same as . When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:
If we subtract from each side, the equation still remains equal:
If we now divide each side by , the equation still remains equal:
This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our term. We can do that by subtracting from each side, the inverse operation of adding :
We now want there to be one on the left side. is the same thing as , so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by :
is therefore our final answer.
Example Question #4 : Solving Equations With Whole Numbers
Solve:
The answer is . The goal is to isolate the variable, , on one side of the equation sign and have all numerical values on the other side of the equation.
Since is a negative number, you must add to both sides.
Then, divide both sides of the equation by :
Example Question #43 : Basic Arithmetic
How many minutes are in a hours?
minutes
minutes
minutes
minutes
minutes
Knowing that there are 60 minutes in an hour, multiply that amount by the total number of hours (3.5):
minutes
Example Question #2 : Unit Multipliers
If I want yards of fabric, how many inches will I have?
inches
inches
inches
inches
inches
1. Find out how many feet you have:
Knowing that there are 3 feet in a yard, you have 3 x 4 yards = 12 feet of fabric.
2. Find out how many inches you have:
Knowing that there are 12 inches in a foot, you have 12 x 12 inches=144 inches of fabric.
Example Question #3 : Unit Multipliers
A football player ran yards with the football before he was tackled. How many feet did he run?
Since there are 3 feet to a yard, multiply the number of yards by 3.
Example Question #3 : Ratios And Rates
How many days are in hours?
There are 24 hours in a day. To find out how many days are in 432 hours, divide that value by 24, the total number of hours in a day.
Example Question #4 : Unit Multipliers
How many centimeters are in meters?
There are centimeters in meter.