### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #4 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

**Possible Answers:**

**Correct answer:**

### Example Question #5 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

**Possible Answers:**

**Correct answer:**

### Example Question #6 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

**Possible Answers:**

**Correct answer:**

This problem is just a matter of grouping together like terms. Remember that terms like are treated as though they were their own, different variable:

The only part that might be a little hard is:

If you are confused, think of your number line. This is like "going back" (more negative) from 15. Therefore, you ranswer will be:

### Example Question #1 : How To Subtract Variables

Simplify:

**Possible Answers:**

**Correct answer:**

This problem really is a trick question. There are no common terms among any of the parts of the expression to be simplified. In each case, you have an independent variable or set of variables: and . Therefore, do not combine *any* of the elements!

### Example Question #2 : How To Subtract Variables

Simplify:

**Possible Answers:**

**Correct answer:**

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:

### Example Question #3 : How To Subtract Variables

Simplify:

**Possible Answers:**

**Correct answer:**

Begin by rewriting the subtracted group as a set of added negative numbers:

Now, simplify that a little by rewriting the additions of negatives as being mere subtractions:

Next, move the like terms next to each other:

Finally, combine like terms:

### Example Question #4 : How To Subtract Variables

Simplify:

**Possible Answers:**

**Correct answer:**

You need to begin by distributing the minus sign through the whole group . This gives you:

Simplifying the double negative, you get:

Now, you can move the like terms next to each other:

Finally, simplify:

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

Simplify:

**Possible Answers:**

**Correct answer:**

This problem is as simple as it appears. All that you need to do is group together like terms:

The only like terms are the terms. Therefore, the simple answer is a matter of subtracting 3 from 4:

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

Simplify:

**Possible Answers:**

**Correct answer:**

First, start by distributing the subtraction through the terms in parentheses. Note that you will be subtracting negative numbers:

Subtracting a negative is the same as adding a positive:

Now, group the like terms:

All you need to do now is combine like terms:

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

Simplify:

**Possible Answers:**

**Correct answer:**

Begin by distributing the subtraction through the parentheses:

Next, group the like terms:

Now, combine them:

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