To find the sum of H and J, it is necessary to first find the value of H and J. The value of H can be found by isolating the variable in the first equation provided (i.e. by dividing both sides of the equal sign by 2). Use a similar method to find the value of J.

Substitute the found values of J and H into the equation to find the answer.

To determine what the sum will be, one must first determine what the number is. The initial information can be converted into an equation using the variable n for the unknown number. Isolate the variable and simplify as needed to determine what its value is.

Once the value of n is known, add the 6 to number. This will be the sum.

The sum is 15.

To answer this question, first determine what the product of the three numbers is

Then convert the last phrase to an equation then solve.

The first step is to clear the term in the parantheses:

Then combine terms on each side of the equations:

Subract 6 on both sides of the equation:

Now add 5n to both sides:

You can check your answer by inserting your final answer into the original equation. If it satisfies the equation then your answer is correct.

First step to this problem is to subtract 

Then simply add 32 to both sides of the equation to isolate the variable x. 

The first step is to get rid of the fraction by multipling both sides by .  

This leaves you with .  

Then you must get all of the  variables on one side by adding  to both sides resulting in .  

Finally get  by itself by dividing both sides by  leaving you with the answer of .

In order to solve for the length of the rectangle given the area, we must remember the area formula for the area of a rectangle. 

Note: The * means multiply. 

We know the area is 42, so we substitute 42 for area. 

We also know the width is 7, so we substitute 7 for the width. 

In order to determine the length, we must divide both sides by 7. 

On the left side we find that  and on the right side we find that the 7's cancel to give us: 

The key to solving this question is to understand that in order for the gummy bears to be shared equally among the 6 friends, the number of gummy bears must be divisible by 6. The question asks for which one cannot be the answer, which is 32 as it is the only one not divisible by 6.

Since there are fourteen fewer pounds of Hazelnut Happiness beans in the mixture than Pecan Delight beans , then the number of pounds of Hazelnut Happiness beans is fourteen subtracted from :

.

Add the number of pounds of Pecan Delight beans, , to the number of pounds of Hazelnut Happiness beans, , to get the number of pounds of the mixture, which is .

This translates to the following equation:

Since there are twelve more pounds of Vanilla Dream beans in the mixture than Strawberry Heaven beans, then the number of pounds of Vanilla Dream beans is twelve added to :

 .

Add the number of pounds of Strawberry Heaven beans, , to the number of pounds of Vanilla Dream beans, , to get the number of pounds of the mixture, which is .

This translates to the following equation: