# SSAT Middle Level Math : How to subtract variables

## Example Questions

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Simplify:

Explanation:

Simplify:

Explanation:

Simplify:

Explanation:

Simplify:

Explanation:

### Example Question #5 : How To Subtract Variables

Solve for :

Explanation:

In order to solve for , move to one side of the equation and everything else to the other. To do this, subtract  from both sides.

### Example Question #6 : How To Subtract Variables

Simplify:

Explanation:

The first step is to apply the distributive property. Don't forget to distribute the negative in the second parenthesis!

Next, combine the variables and the numbers. This gives us:

### Example Question #7 : How To Subtract Variables

Which of the following phrases can be written as the algebraic expression  ?

Six less than one fifth of a number

One fifth decreased by the product of six and a number

One fifth the product of negative six and a number

One fifth less than the product of six and a number

None of the other responses is correct.

One fifth decreased by the product of six and a number

Explanation:

is one fifth decreased by  is the product of six and a number.

Consequently,  is "one fifth decreased by the product of six and a number".

### Example Question #8 : How To Subtract Variables

Which of the following phrases can be written as the algebraic expression ?

The correct answer is not among the other choices.

Thirteen divided into the difference of a number and nine.

Thirteen divided by the difference of nine and a number.

Thirteen divided into the difference of nine and a number.

Thirteen divided by the difference of a number and nine.

Thirteen divided into the difference of a number and nine.

Explanation:

is thirteen divided into .

is the difference of a number and nine.

Therefore,

is "thirteen divided into the difference of a number and nine".

Simplify:

Explanation:

Simplify: