ISEE Middle Level Math : Algebraic Concepts

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

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Example Questions

Example Question #2646 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Possible Answers:

Correct answer:

Explanation:

First square both numbers:

Then multiply those squares together:

Answer: 

Example Question #2647 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide by 5 on each side:

Answer:

Example Question #2648 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide by 12 on each side:

Answer: 

Example Question #2649 : Isee Middle Level (Grades 7 8) Mathematics Achievement

 

Possible Answers:

Correct answer:

Explanation:

First take the square roots:

Then multiply:

Answer:

Example Question #531 : Algebraic Concepts

 

Possible Answers:

Correct answer:

Explanation:

First, find the square roots:

Then multiply those square roots together:

Answer: 

 

Example Question #321 : Equations

If  and , then what is the value of the expression below?

 

Possible Answers:

Correct answer:

Explanation:

If  and  and we need to solve for , the first step is to plug  in for . This results in:

 

Now that we know that , we can plug  in for  into the expression below:

Example Question #331 : How To Find The Solution To An Equation

If  plus 4 squared minus two is equal to nine times seven-thirds, what is the value of ?

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the word problem "x plus 4 squared minus two is equal to nine times seven-thirds" into mathematical terms:

This can be reduced to:

Subtract 14 from each side. 

Example Question #331 : How To Find The Solution To An Equation

What is the value of  if one plus the square root of  is equal to six minus the product of one-fourth and eight?

Possible Answers:

Correct answer:

Explanation:

The first step is to convert the expression "one plus the square root of  is equal to six minus the product of one-fourth and eight" into mathematical terms:

This reduces to:

Squaring both sides gives us:

Example Question #332 : How To Find The Solution To An Equation

What is the value of  in the equation below?

Possible Answers:

Correct answer:

Explanation:

The first step is to solve the first half of the equation by inverting the second fraction and multiplying by the first fraction. 

Multiply each side by

Multiply each side by

Divide each side by

This reduces to:

Example Question #331 : Equations

Simplify the expression below:

Possible Answers:

Correct answer:

Explanation:

The first step is to apply the distributive property and solve for the expression in parentheses. 

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