Operations

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SSAT Middle Level Quantitative › Operations

Questions 1 - 10
1

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.

2

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.

3

Simplify:

Explanation

Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:

That is a bit confusing, so let's simplify. When you add a negative, you subtract:

Now, group your like variables:

Finally, perform the subtractions and get:

4

Simplify:

Explanation

Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:

That is a bit confusing, so let's simplify. When you add a negative, you subtract:

Now, group your like variables:

Finally, perform the subtractions and get:

5

Simplify:

Explanation

Begin by distributing the through the group:

Next, perform the multiplications:

Group the like terms:

Combine like terms:

Rearrange the terms to get the answer as it appears in the answer choices.

6

Simplify:

Explanation

Begin by distributing the through the group:

Next, perform the multiplications:

Group the like terms:

Combine like terms:

Rearrange the terms to get the answer as it appears in the answer choices.

7

Explanation

First distribute the subtraction sign through the terms in the parentheses.

Subtraction of a negative is the same as adding a positive.

Rewrite.

Group all like terms together.

Evaluate the terms in each parentheses.

Rewrite in simplest form.

is the correct answer.

8

Simplify:

Explanation

Combine like terms and by subtracting their coefficients; do not combine either with the 7.

9

Simplify:

Explanation

Combine like terms and by subtracting their coefficients; do not combine either with the 7.

10

Explanation

First distribute the subtraction sign through the terms in the parentheses.

Subtraction of a negative is the same as adding a positive.

Rewrite.

Group all like terms together.

Evaluate the terms in each parentheses.

Rewrite in simplest form.

is the correct answer.

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