### All ISEE Middle Level Quantitative Resources

## Example Questions

### Example Question #41 : Algebraic Concepts

Which of the following is equivalent to ?

**Possible Answers:**

**Correct answer:**

Use the commutative and associative properties to reorder the expression and group like-terms together.

### Example Question #42 : Algebraic Concepts

Define an operation on the real numbers as follows:

For all real values of and ,

is a positive number. Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(b) is the greater quantity

It is impossible to determine which is greater from the information given

(a) and (b) are equal

(a) is the greater quantity

**Correct answer:**

(b) is the greater quantity

, so

Since is positive,

,

and by the addition property of inequality,

and

### Example Question #43 : Algebraic Concepts

Which of the following is equivalent to

**Possible Answers:**

All four of the expressions given in the other responses are correct.

**Correct answer:**

All four of the expressions given in the other responses are correct.

We demonstrate that all four of the expressions are equivalent to .

By the associative property of multiplication,

and

By combining like terms, and applying the distribution property:

### Example Question #1 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

### Example Question #2 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

### Example Question #3 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

### Example Question #4 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

### Example Question #5 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

### Example Question #6 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

Solve the following:

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

### Example Question #1 : Multiply One Digit Numbers By Multiples Of 10: Ccss.Math.Content.3.Nbt.A.3

**Possible Answers:**

**Correct answer:**

To solve this problem, we multiply by the ones position and the tens position.

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