ISEE Middle Level Quantitative : How to multiply variables

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #41 : Algebraic Concepts

Which of the following is equivalent to  ?

Possible Answers:

Correct answer:

Explanation:

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

Explanation:

, 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.

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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

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