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Example Questions
Example Question #1 : How To Subtract Integers
On an airline flight of 250 people there is a choice of pasta, salad, or pizza for dinner. If 113 passengers choose pasta and 30% choose salad, how many passengers choose pizza?
75
53
100
62
62
30% of 250 is 75. Therefore, 250 – 75 – 113 = 62
Example Question #2 : How To Subtract Integers
At a store, a t-shirt costs 
If one shirt costs 
Example Question #1 : How To Subtract Integers
To answer this question, we must remember how to distribute a negative when we are subtracting an entire expression.
To distribute a negative, you change the sign of everything within the expression being subtracted from positive to negative or negative to positive. You then add the resulting expression. So, for this data:
We can then add the like expressions normally (combine 
Therefore, our answer is 
Example Question #1 : How To Multiply Integers
A hockey team wants to purchase uniforms for its 26 players, 2 of which are goalies. It costs $40 for a one-time designing fee. It costs $24 for goalie jerseys and $20 for all other jerseys. How much does it cost to purchase all of the uniforms?
$528
$664
$520
$568
$608
$568
There are 24 normal players and 2 goalies. Thus we can represent the sum in the equation 24($20) + 2($24) + $40 = $568.
Example Question #1 : Operations
Sam is paid $15 per hour for laying bricks. If he lays 3,000 bricks at a rate of 5 bricks per minute, how much will he be paid?
First we need to convert some units. If Sam lays 5 bricks per minute, then multiply that figure by 60 to find that he lays 300 bricks per hour. 3,000 bricks divided by 300 bricks/hour means he worked for 10 hours. Therefore, when we mutiply $15/hour by 10 hours, we see he makes $150.
Example Question #1 : Operations
Joey is beginning to invest in the stock market. He purchased 150 shares of a cell phone company. The company pays a dividend of $2.55 per share. What is his total dividend?
$301.25
$280.25
$382.50
$255.00
$451.75
$382.50
The words "per share" clues us into a multiplication problem, 150 * 2.55 = 382.50
Example Question #661 : Arithmetic
George is buying his first car. He has $500 for a downpayment and can afford monthly payments of $175 for three years. What is the most expensive car he can purchase?
$4,750
$8,000
$5,250
$6,800
$7.500
$6,800
The most expensive car he can purchase is given by the total of all monthly payments and the down payment: $175 per month * 12 months per year * 3 years + $500 down = $6,800
Example Question #662 : Arithmetic
Given 
Using the factor-label method we get:
approximately equals
The units are treated like numbers and are cancelled when they are in both the numerator and denominator.
Example Question #3 : How To Multiply Integers
Which of the following expressions must be an even integer if x is an integer?
x/8
x6
3x
x + 3
x6
An integer raised to an even power always yields an even integer. All of the other expressions could yield odd integers.
Example Question #1 : How To Multiply Integers
Each variable f, g, h, i, and j represents a positive real number. Considering the equations below, which of the four variables g, h, i, or j necesarily has the greatest value?
1.75g = f
1.69h = f
1.23i = f
0.46j = f
It cannot be determined without more information
j
h
i
g
j
All four variables are positive real numbers. Each variable g, h, i, and j are multiplied by differing values to obtain the same value f. Since j is multiplied by the smallest value to obtain f it must be the greatest value. In this manner we could determine that g is necesarily the smallest value.
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