SAT Math : Operations
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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 #11 : Operations
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” ?
42
63
45
30
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 #321 : Arithmetic
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 #12 : Operations
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 
Example Question #1 : How To Add Integers
Examine the sequence:
Give the number that replaces the square.
After the first term, the next four terms are obtained by adding, multiplying, subtracting, and dividing by 2, in order. The four terms after that are obtained by carrying out the same operations with 4. The next term is obtained by adding 6, so the operations can be expected to be repeated with 6, the next even number.
Observe the operations as carried out with 2:
Carrying out the same steps, in order, with 4:
Carrying out the same steps, in order, with 6:
Example Question #5 : How To Add Integers
Find the values of the variables 
None of these
Terms are obtained by alternately adding 5 and multiplying by 3:
The missing two elements are found by multiplying by 3, then by adding 5:
Multiplying by 3 confirms that this is correct:
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