### All ISEE Lower Level Quantitative Resources

## Example Questions

### Example Question #1 : Algebraic Concepts

What is the value of x in the equation?

**Possible Answers:**

**Correct answer:**

First, add .

Next, divide .

So

### Example Question #1 : Algebraic Concepts

Simplify.

**Possible Answers:**

**Correct answer:**

When simplifying an expression, you must combine like terms. There are two types of terms in this expression: “x’s” and whole numbers. Combine in two steps:

1) x’s:

2) whole numbers:

The simplified expression is: .

### Example Question #2 : Algebraic Concepts

Solve, when .

**Possible Answers:**

**Correct answer:**

To solve, insert for each :

Simplify:

*Common error: When solving this part of the equation always remember the order of operations (PEMDAS) and square the number in the () BEFORE multiplying!

### Example Question #3 : Algebraic Concepts

Solve for .

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Algebraic Concepts

Use the equations to answer the question.

What is ?

**Possible Answers:**

**Correct answer:**

First, you need to find what would make and true in their respective equations. equals 1 and equals 4. The next step is to add those together, which gives you 5.

### Example Question #1 : Algebraic Concepts

What story best fits the expression ?

**Possible Answers:**

Michelle had 3 stuffed animals and gave 1 away.

Nell bought 9 bags of candy with 3 pieces of candy in each bag.

Jonah had 3 baseball cards, but after his friend gave him some, he had 12.

Lisa had 9 pencils with two erasers each.

**Correct answer:**

Nell bought 9 bags of candy with 3 pieces of candy in each bag.

Nell's story fits best because if she bought 9 bags with 3 pieces each, that would be 27 total. This fits best with the equation.

### Example Question #5 : Algebraic Concepts

What is equal to in this equation:

**Possible Answers:**

**Correct answer:**

Find the number that makes the equation true. 2 works because when plugged in, the left side of the equation becomes 13, making the whole equation true.

### Example Question #6 : Algebraic Concepts

Five more than a number is equal to of twenty-five . What is the number?

**Possible Answers:**

**Correct answer:**

From the question, we know that plus a number equals of . In order to find out what of is, multiply by .

, or .

The number we are looking for needs to be five less than , or .

You can also solve this algebraically by setting up this equation and solving:

Subtract from both sides of the equation.

### Example Question #1 : How To Find The Solution To An Equation

Solve for .

**Possible Answers:**

**Correct answer:**

To solve for , we want to isolate , or get it by itself.

Add to both sides of the equation.

Now we need to divide both sides by the coefficient of , i.e. the number directly in front of the .

### Example Question #2 : Algebraic Concepts

Solve for .

**Possible Answers:**

**Correct answer:**

First, subtract the three from both sides:

Then, divide by three on both sides: