ISEE Lower Level Math : Algebraic Concepts

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #51 : How To Find The Solution To An Equation

Find the difference.

Possible Answers:

Correct answer:

Explanation:

When substracting  and , a trick is to pretend that the numbers are actually  and  You can save the  for the end. 

Apply the  that you were saving from the beginning. 

 

This gives you .

Example Question #51 : Equations

If , what number does  stand for?

Possible Answers:

Correct answer:

Explanation:

While  is an unfamiliar symbol, just remember that any odd symbols are the equivalent of an unknown variable like  or .

To solve this problem, the fastest approach is to plug the various answer choices in as

When plugging in , this is what happens:

The number  is the solution to the equation, so  is the correct answer. Plugging in any other number will result in a false result.

 

Example Question #53 : How To Find The Solution To An Equation

Leila ordered  pizzas. Each pizza has  slices. If represents the total slices of pizza, which equation would reflect how many slices of pizza Leila ordered?

Possible Answers:

Correct answer:

Explanation:

This is essentially a multiplication-based word problem. If Leila ordered  pizzas and each pizza has  slices, then to determine the total number of pizza slices, it would be best to multiply . This results in , the total slices of pizza. 

Example Question #54 : How To Find The Solution To An Equation

What is the value of the expression ?

Possible Answers:

Correct answer:

Explanation:

This question will require the use of order of operations: PEMDAS (parentheses, exponents, multiply, divide, add, subtract).

When dealing with parentheses, multiplication, subtraction and addition, it is important to first address the parentheses. 

Looking at this part of the expression, multiplication is carried out first. 

Finally, subtract within the parentheses. The value of the parenthetical expression is

Next, the addition is carried out:

This results in , the correct answer. 

Example Question #55 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

Example Question #56 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

Example Question #57 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

Example Question #58 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer:

Example Question #59 : How To Find The Solution To An Equation

What is the value of  in the equation below?

Possible Answers:

Correct answer:

Explanation:

To solve, you will need to divide both sides of the equation by 5.

The 5 cancels on the left side.

Divide to simplify.

Example Question #52 : Equations

Brian brought a box of 50 chocolates to class. The teacher did not eat any of the chocolate, but his friends ate a total of 12 pieces. How many pieces of chocolate remain uneaten?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

This question gives extra information about the teacher that is not necessary to solve the problem.

We know that there are originally 50 pieces of chocolate, and that 12 pieces are eaten. Subtract to find the remaining amount of chocolate.

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