All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #21 : Equations
Which of the following expressions can be written as "the quotient of a number and twenty"?
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?
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)?
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?
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?
In order to solve for in , add 4.65 to each side of the equation.
This results in:
Example Question #23 : Equations
Solve for :
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?
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 :
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 :
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?
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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