ISEE Lower Level Quantitative : How to find the solution to an equation

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

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Example Questions

Example Question #21 : Equations

Which of the following expressions can be written as "the quotient of a number and twenty"?

Possible Answers:

Correct answer:

Explanation:

A quotient is defined as the result of a division; "the quotient of a number and twenty" is written as , as opposed to , which is "the quotient of twenty and a number".

Example Question #21 : How To Find The Solution To An Equation

Max and Sarah both drove at the same speed. It took Max 36 minutes to drive 3 miles. How many minutes did it take for Sarah to drive 6 miles?

Possible Answers:

Correct answer:

Explanation:

Since it took Max 36 minutes to drive 3 miles, it must take double the amount of time to drive 6 miles since they're both driving at the same speed. Thus, 72 is the correct answer.

Example Question #23 : How To Find The Solution To An Equation

Martin's family bought him 3 presents for his birthday. The mean cost of a present was $25. If the first present cost $20 and the second present cost $30, how much did the third present cost (in dollars)?

Possible Answers:

Correct answer:

Explanation:

The mean of a set is equal to the sum of the numbers divided by the number of items in the set.

Set up and equation and solve for the missing present:

Multiply both sides of the equation by 3:

Subtract 50 from both sides:

Example Question #23 : How To Find The Solution To An Equation

4 puppies from a litter are adopted, and  are not adopted. How many puppies are in the litter?

Possible Answers:

Correct answer:

Explanation:

If  are not adopted, then  are adopted. We also know that the number of adopted puppies is 4. 

Set up a proportion and solve:

Therefore, there are 6 puppies total in the litter. 

Example Question #24 : How To Find The Solution To An Equation

What is the value of  in the equation below?

Possible Answers:

Correct answer:

Explanation:

In order to solve for  in , add 4.65 to each side of the equation. 

This results in:

Example Question #23 : Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Add 3 to each side:

Divide by 2:

Example Question #24 : How To Find The Solution To An Equation

Kiera bought  packs of cards. The total she paid was . How much did each pack of cards cost?

Possible Answers:

Correct answer:

Explanation:

Kiera bought  packs of cards. The total she paid was .

This problem can be represented with the equation: 

Remove the  by dividing by .

The answer is .

Example Question #27 : How To Find The Solution To An Equation

Find the value of :

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the  over to the other side of the equation by adding .

       

       

Next, remove the  from the variable by dividing by .

The answer is .

Example Question #25 : How To Find The Solution To An Equation

Find the value of :

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the  over to the other side of the equation by adding .

       

        

Next, remove the  from the variable by dividing by .

The answer is .

Example Question #24 : Equations

Eight more than four times a number is . What is the number?

Possible Answers:

Correct answer:

Explanation:

Eight more than four times a number is  can be expressed with the equation:

To solve an equation, first combine like terms. Move the  to the other side of the equation by adding .

       

        

Then, remove the  from the variable by dividing by .

The answer is .

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