All New SAT Writing and Language Resources
Example Questions
Example Question #34 : New Sat Math Calculator
Jesse has a large movie collection containing X movies. 1/3 of his movies are action movies, 3/5 of the remainder are comedies, and the rest are historical movies. How many historical movies does Jesse own?
(7/12)*X
(11/15)*X
(2/5)*X
(4/15)*X
(3/9)*X
(4/15)*X
1/3 of the movies are action movies. 3/5 of 2/3 of the movies are comedies, or (3/5)*(2/3), or 6/15. Combining the comedies and the action movies (1/3 or 5/15), we get 11/15 of the movies being either action or comedy. Thus, 4/15 of the movies remain and all of them have to be historical.
Example Question #42 : Algebraic Fractions
In a sample of students, of them liked baseball. If there are students in the entire school, how many students are likely to like baseball?
To answer this question, we need to convert to a decimal. . Now we multiply by . .
Example Question #92 : Algebra
If Billy runs at a pace of , how long will it take billy to run ?
In order to solve this, we need to set up an equation. , where is time. All we need to do is divide by on each side.
Example Question #281 : New Sat
Rocket is launched from the ground at , and Rocket is launched off the ground at . At what time will Rocket and Rocket cross path's?
First we need to create equations that represent the path's of the Rocket's.
For Rocket , the equation is
For Rocket , the equation is
In order to solve for the time the Rocket's cross, we need to set the equations equal to each other.
Now solve for
Example Question #141 : Outcomes
A poll was taken from a random collection of people, they were asked whether they approve or disapprove GMO's.
Did GMO's have a higher approval rate in September or October?
September
October
October
To figure out which month had a higher approval rate, we need to divide the approve number by the total number of people.
From this, we can determine that October had the highest approval rate.
Example Question #101 : Equations / Inequalities
Calculate the slope of the line.
In order to solve for the slope, we need to recall how to find the slope of a line. , where are points on the line.
So we will pick , and .
Example Question #111 : Statistics
Determine the mode of the Dot Plot.
To determine the mode, we need to count how many diamonds are on each number. The mode is the most frequently occurring number.
Since has a frequency of , it is the mode.
Example Question #62 : Arithmetic Mean
Calculate the mean from the above dot plot.
To calculate the mean, we need to sum up every individual entry and divide it by the total number of entries. This looks like , where is the total number of entries and are the individual entries.
Here is the calculation of the mean,
Example Question #171 : Algebraic Functions
If a function has x-intercepts at , , and at , what is the equation?
Since we are given the functions x-intercepts, we can write the equation as , now we need to use FOIL.
Start with .
Now we do
Example Question #102 : Equations / Inequalities
What equation best represents the following table?
The first step is to find the common ratio amongst the data.
We can that the common ratio is .
Now we need to set up an equation that will give an answer for any time.
We can set up an exponential decay model, the general equation is,
, where is the starting amount, is the common ratio and is time.
After plugging our numbers in, we get