ISEE Middle Level Math : How to find the solution to an equation

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

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Example Questions

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

 

 

Possible Answers:

Correct answer:

Explanation:

To solve: 

First, solve both equations on each end, keeping the variable.

Then, subtract 15 from each side of the equation.

Finally, divide each side by 3 so that only the variable remains.

Example Question #2 : How To Find The Solution To An Equation

Ann, Bailey, Cara, Jack, and Jill are running a marathon.  Cara finishes 4 minutes before Ann.  Jill finishes after Bailey, who finishes after Ann.  Jack finishes right before Bailey.  Who else does Jack finish the race before?

Possible Answers:

Jill

Ann

There is not enough information to solve this problem.

Bailey

Cara

Correct answer:

Jill

Explanation:

Cara finishes first.  Ann and Bailey finish before Jill.  If Jack finishes right before Bailey, then Jill finishes last.

Example Question #3 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

Subtract 19, then divide by 7:

Example Question #4 : How To Find The Solution To An Equation

 

 

 

A bicycle originally costs $120.00. If it is on sale for 30% off, what is the sale price of the bicycle?

Possible Answers:

Correct answer:

Explanation:

First multiply the original price by 30%.

Then subtract that amount from the original price.

The sale price is $84.00

Example Question #5 : How To Find The Solution To An Equation

Possible Answers:

Correct answer:

Explanation:

First solve the parentheses.

Then solve from left to right since multiplication and division are interchangeable:

The answer is 20.

Example Question #6 : How To Find The Solution To An Equation

Possible Answers:

Correct answer:

Explanation:

First, convert each mixed number into an improper fraction.

Then, reduce where possible and multiply.

Finally, convert your answer into a mixed-number fraction.

Example Question #7 : How To Find The Solution To An Equation

Possible Answers:

Correct answer:

Explanation:

First, convert each mixed number into an improper fraction and flip the second fraction. Then, change the operation to multiplication:

Reduce where possible and multiply. Convert your answer into a mixed fraction.

Example Question #8 : How To Find The Solution To An Equation

Possible Answers:

Correct answer:

Explanation:

First find the exponent value for each number:

Then divide accordingly. The answer is 128.

Example Question #9 : How To Find The Solution To An Equation

Possible Answers:

Correct answer:

Explanation:

First follow order of operations and solve on each side.

Then, subtract 40 from each side to leave only the variable:

Finally, divide both sides by 2.

The answer is

Example Question #10 : How To Find The Solution To An Equation

Possible Answers:

Correct answer:

Explanation:

First solve with order of operations on each side:

Then subtract 15 from each side:

Finally, divide each side by 5:

The answer is 5.

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