Whole Numbers - Basic Math

First, add 6 to both sides so that the term with "x" is on its own.

Now, divide both sides by 2.

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 :

Start by isolating the term with to one side. Add 10 on both sides.

Divide both sides by 7.

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.

Start by adding 10 to both sides of the equation.

Then, divide both sides by .

First start by distributing the 7.

Now, add both sides by 14.

Finally, divide both sides by 7.

First, add to both sides of the equation:

Then, divide both sides by :

Ones digit:

Tens digit: (leave the two at the tens, carry the one to the hundreds digit)

Hundreds digit: , add the one from the tens digit, so you get 5 + 1 = 6

Thousands digit:

First add the digits in the ones colume, this would be . Make sure to carry the 1 from the 17 to the tens colume.

Then add the digits in the tens colume, this would be .

Lastly, add the digits in the hundrends colume, this would be

Therefore the result is as follows:

1. Add the ones places:

2. Add the tens places:

***don't forget to put the 3 down and carry the one to the hundreds place***

3. Add the hundreds place:

This makes your total:

We can see this because if we had 5 (represented by ) and add another 2 objects (represented by ) we should get 7 objects ( and ) total.

We have 7 objects total!

If x represents objects.

For 5:

For 6:

We can see that 11 objects result.

This is a simple subtraction problem.

First, subtract the number of video games Paul gave to Chris on Monday.

Now, subtract the number of video games Paul sold from the number he has left.

Finally, subtract the number of video games Paul broke and threw away.

We can show this using objects:

We can see that only 7 objects are left.

We can see that by the objects.

We can see that there is only one object left.

The problem can be solved as follows. First, calculate the number of sea monkeys left at the end of the first month:

Then, calculate the number of sea monkeys left at the end of the second month:

To solve for n we need to isolate n on one side of the equation and all of the constants on the other side.

We do this by adding 15 to both sides.

Then we add 12 to both sides to get our final answer.

If you need to break it down, you can split it into smaller pieces:

and , and then add the pieces back together: .

To solve, create a linear equation:

represents the total number of people on the bus before the first stop.

We then subtract the amount of people that got off at each stop and set that equal to the number of people to get off at the final stop.

Ones digit:

Tens digit: (leave the two at the tens, carry the one to the hundreds digit)

Hundreds digit: , add the one from the tens digit, so you get 5 + 1 = 6

Thousands digit: