ISEE Middle Level Math : Variables
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Example Questions
Example Question #11 : How To Subtract Variables
Suppose you know the values of all variables in the expression
and you want to evaluate the expression.
In which order will you carry out the operations?
Subtracting, multiplying, adding
Adding, subtracting, multiplying
Multiplying, subtracting, adding
Multiplying, adding, subtracting
Subtracting, adding, multiplying
Multiplying, subtracting, adding
By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the subtraction is performed second and the addition last.
Example Question #121 : Operations
Which of the following phrases can be written as the algebraic expression 
Twice the sum of seven and a number
The square of a number added to seven
Twice a number added to seven
The square of the product of seven and a number
The square of the sum of seven and a number
The square of a number added to seven
Example Question #21 : How To Subtract Variables
Solve.
None of these
The first step to solving is to convert all the numbers to a common form. We will convert to decimals, since this form is used in the answer choices.
Plug this value into the original equation and solve.
Our final answer is 
Example Question #96 : Variables
If 
The easiest way to solve this problem is to pick an odd number (we can use 3 for example), and plug it into each answer choice.
The only answer choice that gives us an odd result is:
As a rule of thumb, an even number subtracted from an odd number will always result in an odd number.
Example Question #93 : Variables
Philip had a glass containing 16 ounces of water. He drank 2 ounces. His brother then drank half of what remained. How many ounces of water are now in the glass?
If there were 16 ounces of water to start, this amount decreased to 14 ounces when Philip drank 2 ounces.
With 14 ounces remaining, his brother drank half. This would be equal to 7 ounces.
This left the other half of the water, which was also 7 ounces; thus, 7 ounces in the amount of water that remained.
Example Question #98 : Variables
If 
The first step is to transfer 
Next, 17 is subtracted from each side.
Each side is now divided by 
Therefore, 
Example Question #121 : Variables
Jim and Jack are having tea together. There are 10 sugar cubes on a small tray. Jim takes 1 cube for his tea, and Jack takes twice as many cubes as Jim. How many sugar cubes remain?
The first step is to convert the following into a mathematical equation:
There are 10 sugar cubes on a small tray. Jim takes 1 cube for his tea, and Jack takes twice as many cubes as Jim.
The equation for the remaining cubes would be:
Therefore, 7 is the correct answer.
Example Question #122 : Variables
There are 9 cats in a shelter. Bob adopts 2 of the cats. Anita then adopts more cats than Bob adopted, but fewer than the majority of the cats remaining. How many cats did Anita adopt?
If Anita adopted more cats than Bob, then she adopted more than 2 cats.
Given that Bob adopted 2 cats, there are 7 cats remaining. A majority of the remaining cats would be 4.
Given that Anita adopted more than 2 cats, but less than 4, she must have adopted 3 cats; therefore, 3 is the correct answer.
Example Question #123 : Variables
Tom has 8 pretzel sticks. He gives one stick to his sister, and then breaks what remains in half. Tom eats 5 of the half-pretzel sticks. How many half-pretzel sticks remain?
If Tom has 8 pretzel sticks and gives one stick to his sister, then he will have 7 pretzel sticks remaining. If he then breaks what remains in half, he will have 14 half-pretzel sticks. If Tom eats 5 of the half-pretzel sticks, 9 half-pretzel sticks will therefore remain.
Example Question #124 : Variables
Subtract the numbers and keep the variable:
Answer:
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