# ISEE Middle Level Math : How to add variables

## Example Questions

### Example Question #1211 : Hspt Mathematics

Simplify:

Explanation:

Begin by distributing the  through the parentheses:

Next, move the like terms next to each other.  Remember, treat  like it is its own, separate variable.

Finally, combine like terms:

### Example Question #151 : Operations

Simplify:

Explanation:

Combine like terms:

### Example Question #11 : Algebra

Simplify:

Explanation:

Combine like terms:

Evaluate

Explanation:

### Example Question #1221 : Hspt Mathematics

Explanation:

Add the numbers and keep the variable:

### Example Question #161 : Algebraic Concepts

Simplify:

Explanation:

First we should simplify the first expression. We can first apply the power of a product rule and then apply the power of a power rule. So we can write:

Since the variables have the same exponents we can write:

### Example Question #11 : How To Add Variables

Gina's mom baked 12 cookies. 8 were cinnamon and 4 were chocolate chip. If Gina eats one of the cinnamon cookies, how many more cinnamon cookies are there than chocolate chip?

Explanation:

Gina's mom baked 12 cookies; 8 were cinnamon and 4 were chocolate chip. If Gina then eats a cinnamon cookie, there will be 7 cinnamon cookies left.

After she eats the cookie, we need to find the difference between the number of cinnamon cookies and chocolate chip cookies.

### Example Question #12 : How To Add Variables

Explanation:

In modulo 13 arithmetic, a number is congruent to the remainder of the divison of that number by 13. Since

and

,

making the correct response 0.

### Example Question #11 : How To Add Variables

Suppose you know the values of all variables in the expression

and you want to evaluate the expression.

In which order will you carry out the operations?

Explanation:

By the order of operations, the operation within parentheses, which is addition, is carried out first; of the remaining two, multiplication precedes subtraction.

### Example Question #41 : Variables

Suppose you know the values of all variables in the expression

and you want to evaluate the expression.

In which order will you carry out the operations?