### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #27 : How To Subtract Variables

Solve.

**Possible Answers:**

None of these

**Correct answer:**

The first step to solving is to convert all the numbers to a common form. We will convert to decimals, since this form is used in the answer choices.

Plug this value into the original equation and solve.

Our final answer is .

### Example Question #91 : Operations

If is an odd number, which of the following must also be odd?

**Possible Answers:**

**Correct answer:**

The easiest way to solve this problem is to pick an odd number (we can use 3 for example), and plug it into each answer choice.

The only answer choice that gives us an odd result is:

As a rule of thumb, an even number subtracted from an odd number will always result in an odd number.

### Example Question #92 : Operations

Philip had a glass containing 16 ounces of water. He drank 2 ounces. His brother then drank half of what remained. How many ounces of water are now in the glass?

**Possible Answers:**

**Correct answer:**

If there were 16 ounces of water to start, this amount decreased to 14 ounces when Philip drank 2 ounces.

With 14 ounces remaining, his brother drank half. This would be equal to 7 ounces.

This left the other half of the water, which was also 7 ounces; thus, 7 ounces in the amount of water that remained.

### Example Question #93 : Operations

If minus two times another number equals , what is the other number?

**Possible Answers:**

**Correct answer:**

The first step is to transfer minus two times another number equals into mathematical terms. Doing so gives us:

Next, 17 is subtracted from each side.

Each side is now divided by .

Therefore, is the correct answer.

### Example Question #21 : How To Subtract Variables

Jim and Jack are having tea together. There are 10 sugar cubes on a small tray. Jim takes 1 cube for his tea, and Jack takes twice as many cubes as Jim. How many sugar cubes remain?

**Possible Answers:**

**Correct answer:**

The first step is to convert the following into a mathematical equation:

There are 10 sugar cubes on a small tray. Jim takes 1 cube for his tea, and Jack takes twice as many cubes as Jim.

The equation for the remaining cubes would be:

Therefore, 7 is the correct answer.

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

There are 9 cats in a shelter. Bob adopts 2 of the cats. Anita then adopts more cats than Bob adopted, but fewer than the majority of the cats remaining. How many cats did Anita adopt?

**Possible Answers:**

**Correct answer:**

If Anita adopted more cats than Bob, then she adopted more than 2 cats.

Given that Bob adopted 2 cats, there are 7 cats remaining. A majority of the remaining cats would be 4.

Given that Anita adopted more than 2 cats, but less than 4, she must have adopted 3 cats; therefore, 3 is the correct answer.

### Example Question #23 : How To Subtract Variables

Tom has 8 pretzel sticks. He gives one stick to his sister, and then breaks what remains in half. Tom eats 5 of the half-pretzel sticks. How many half-pretzel sticks remain?

**Possible Answers:**

**Correct answer:**

If Tom has 8 pretzel sticks and gives one stick to his sister, then he will have 7 pretzel sticks remaining. If he then breaks what remains in half, he will have 14 half-pretzel sticks. If Tom eats 5 of the half-pretzel sticks, 9 half-pretzel sticks will therefore remain.

### Example Question #712 : Concepts

**Possible Answers:**

**Correct answer:**

Subtract the numbers and keep the variable:

Answer:

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

Simplify the following expression

**Possible Answers:**

**Correct answer:**

Simplify the following expression

We can begin by grouping like terms:

Next, combine the like terms. In this case, simply treat them like two subtraction problems.

So our answer is:

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

Simplify the following:

**Possible Answers:**

**Correct answer:**

When subtracting variables, you must first make sure you have the same variables. So, in this case

we can see that both terms contain the variable *x**. *Therefore, we can subtract them.

Now, when we subtract them, we can think of the variables as objects. So, we can say that the variable *x* is actually pieces of pizza. So,

is saying we have 9 pieces of pizza and we eat 3 pieces of pizza. So how many pieces of pizza do we have left?

We can simplify our problem the same way.

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