### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #704 : Concepts

Simplify:

**Possible Answers:**

**Correct answer:**

Begin by putting similar variables together. Remember that combinations of variables such as are treated like a separate variable:

Combine like terms:

You can then rearrange the variables to get the answer as written:

### 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:**

Begin by distributing the :

Multiply each factor:

Change the double negation to addition:

Combine like terms:

### 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:**

Begin by distributing the :

Multiply all factors:

Group together the only like factor ():

Combine like terms:

### Example Question #2231 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Simplify:

**Possible Answers:**

**Correct answer:**

Begin by moving all like terms next to each other. Remember that you must treat every variable type separately:

Combine like terms:

You merely need to reorder the variables to get to the form in the answer choice.

### Example Question #22 : How To Subtract Variables

Simplify:

**Possible Answers:**

**Correct answer:**

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.

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

Simplify:

**Possible Answers:**

**Correct answer:**

Begin by multiplying through by :

Perform the multiplications:

The double negation becomes addition:

Group like terms:

Combine like terms:

### Example Question #7 : 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 #24 : How To Subtract Variables

Subtract in modulo 11:

**Possible Answers:**

**Correct answer:**

in normal arithmetic.

In modulo 11 arithmetic, a negative number has 11 added to it as many times as necessary until a positive sum is reached:

Therefore,

### Example Question #25 : How To Subtract 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?

**Possible Answers:**

Subtracting, multiplying, adding

Multiplying, subtracting, adding

Multiplying, adding, subtracting

Subtracting, adding, multiplying

Adding, subtracting, multiplying

**Correct answer:**

Multiplying, subtracting, adding

By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the subtraction is performed second and the addition last.

### Example Question #26 : How To Subtract Variables

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

**Possible Answers:**

Twice a number added to seven

The square of the sum of seven and a number

Twice the sum of seven and a number

The square of the product of seven and a number

The square of a number added to seven

**Correct answer:**

The square of a number added to seven

is added to seven; is the square of a number.

is subsequently "the square of a number added to seven".

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