SAT Math : Integers
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Example Questions
Example Question #1 : Basic Operations
The annual number of cellular phones purchased from a company is illustrated in the following graph. How many more phones were sold in 2009 than 2011?
6
17,000
17
6,000
3,000
6,000
In 2009, 32,000 phones were sold (according the the label on the y-axis, each number is equal to 1,000 phones). In 2011, 26,000 phones were sold.
Example Question #1 : How To Multiply Integers
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
Example Question #1 : How To Multiply Integers
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
Example Question #865 : Arithmetic
A paint crew can paint 
First, divide 
Then, multiply this number by 
Example Question #1 : New Sat Math Calculator
Convert three yards to inches.
To solve this problem, we need to know the conversions between yards to feet, and feet to inches. Write their correct conversions.
Convert three yards to feet.
Convert nine feet to inches.
Example Question #867 : Arithmetic
Calculate 
Each element is obtained from the previous one by alternating the following operations: multiplying by 5 and adding 6.
If we let 
Solve for 
Example Question #2 : How To Multiply Integers
Janet can pick between 10 and 20 tomatoes in an hour. What is a possible amount of time for Janet to pick 120 tomatoes?
Since Janet can pick between 10 and 20 tomatoes in an hour, there is a range for which she can pick 120 tomatoes. Therefore, to find the possible amount of time it will take Janet to pick 120 tomatoes set up two fractions.
The first fraction will use the rate of 10 tomatoes an hour.
Therefore, identifying the variables are as follows.
Substituting these into the fraction results in a possible time
The second fraction will use the rate of 20 tomatoes an hour.
Therefore, identifying the variables are as follows.
Substituting these into the fraction results in a possible time
Of the answer selections 6 hours would be the correct answer.
Example Question #1 : How To Add Integers
My sister invited me to play an online word game. In the game vowels (a,e,i,o,u) are worth 3 points and consonants are worth 5. How much would I score if I use the word “University” ?
63
30
45
42
42
In the word we have 4 vowels (3 x 4 = 12 points) and 6 consonants (5 x 6= 30). If we add the points together we get a total of 42 points.
Example Question #1 : How To Add Integers
What is the sum of multiples of 10 from 10 to 140 inclusive?
Listing them all, 10-20-30-40-50-60-70-80-90-100-110-120-130-140 you see you can divide the numbers in half (7 pairs). Alternatively you can take (140-10+10)/2/10, adding that additional +10 in the numerator because it is inclusive, giving you 7. Just adding the top and bottom numbers gives you 10+140 for 150. 150*7 is 1050.
Example Question #871 : Arithmetic
The sum of three consecutive even numbers is 42. What is the smallest even number in this sequence?
To solve this problem. First set up a mathematical equation that represents this scenario.
"The sum of three consecutive even numbers is 42."
Let
and recalling that each consecutive even number is two values greater that the previous even number, the mathematical equation becomes
From here isolate the variable on one side of the equations with all other constants on the other side.
Subtract six from both sides.
Now divide by three.
Since 
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