### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #21 : How To Add

30 students were given a survey and asked whether they liked the mountains or the beach. 15 students said they liked mountains only, 5 students said that they liked the beach only, and 10 students said that they liked both the mountains and the beach. What is the total number of students who liked the mountains at all?

**Possible Answers:**

**Correct answer:**

If 15 students like both the mountains and the beach and 10 like the mountains only that means that the total numbers of students who like mountains will be the sum of these two numbers.

The sum is 25, which is the number of students who like mountains.

### Example Question #22 : How To Add

Simplify the expression.

**Possible Answers:**

**Correct answer:**

To simplify, the first step is to reorder the terms and add the like variables together.

This gives us , which is therefore the correct answer.

### Example Question #23 : How To Add

Below are the ages of the students in Mrs. Kermit's painting class. How many students are age 7 or younger?

**Possible Answers:**

**Correct answer:**

In Mrs. Kermit's painting class, there are three 7-year-olds and two 6-year-olds.

Because 3 plus 2 equals 5, that is the correct answer. 5 total students are age 7 or younger.

### Example Question #24 : How To Add

12 guests attend a buffet. The guests take either 1 or 2 desserts. At the end of the buffet, the chef sees that the guests ate 8 of the brownie desserts and 7 of the vanilla desserts. How many guests took 2 desserts?

**Possible Answers:**

8 guests

7 guests

3 guests

12 guests

15 guests

**Correct answer:**

3 guests

Given that the guests ate 8 of the brownie desserts and 7 of the vanilla desserts, a total of 15 desserts were eaten.

This means that of the 12 guests, 3 guests must have eaten 2 desserts.

3 guests is therefore the correct answer.

### Example Question #25 : How To Add

Solve:

**Possible Answers:**

None of these

**Correct answer:**

To solve the expression below, use order of operations. We first handle the parenthesis and the multiplication:

Finally, add:

### Example Question #26 : How To Add

Destiny is buying tickets to a concert for herself and her 3 friends. Each ticket is $50. Destiny's friends are paying her back slowly. So far, her 3 friends have each paid her back $25, $20, and $30. How much more money do her friends owe her, in dollars?

**Possible Answers:**

**Correct answer:**

If Destiny bought 3 tickets at $50 each for her friends, that means that her friends ower her a total of $150.

The equation to see what she is still owed would be equal to this original amount, minus the money that has already been paid back.

Solve to find the amount still owed.

### Example Question #27 : How To Add

Mary has 2 daughters and 7 old dresses to give them. How many dresses do each of her daughters get?

**Possible Answers:**

4 dresses and 4 dresses

3 dresses and 3 dresses

3 dresses and 4 dresses

None of these

3.5 dresses and 3.5 dresses

**Correct answer:**

3 dresses and 4 dresses

If Mary had 2 daughters and 7 dresses, then that means that one daughter will get 3 dresses, and the other daughter will get 4 dresses.

It is impossible for someone to get 3.5 dresses, so that answer choice is not correct.

### Example Question #28 : How To Add

What is the standard form for eighty-six thousand, four hundred and twenty-six?

**Possible Answers:**

**Correct answer:**

In order to solve for the standard form for eighty-six thousand, four hundred and twenty-six, each part should be broken down piece by piece.

eighty-six thousand is equal to 86,000

four hundred is equal to 400

twenty-six is equal to 26

Thus, the correct answer is:

### Example Question #29 : How To Add

Simplify the expression:

**Possible Answers:**

**Correct answer:**

This question tests order of operations. To simplify the expression, the first step is to add together the numbers in parentheses:

Multiply, then add:

### Example Question #30 : How To Add

Simplify the expression:

**Possible Answers:**

**Correct answer:**

The first step to simplifying this expression is to apply the distributive property to the parenthesis:

This gives us:

The next step is to combine like terms by adding:

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