SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)
Study concepts, example questions & explanations for SSAT Upper Level Math
All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
A line has the equation 
Plug the x-coordinate of an answer choice into the equation to see if the y-coordinate matches with what comes out of the equation.
For 
Example Question #2 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points lies on the line with equation 
To find which point lies on the line, plug in the x-coordinate value of an answer choice into the equation. If the y-coordinate value that comes out of the equation matches that of the answer choice, then the point is on the line.
For 
So then, 
Example Question #2 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points lies on the line with the equation 
To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.
For 
Example Question #3 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points lies on the line with the equation 
To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.
For 
Example Question #4 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points lies on the line with the equation 
To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.
For 
Example Question #5 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points lies on the line with the equation 
To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.
For 
Example Question #6 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points is on the line with the equation 
To find if a point is on the line, plug in the x-coordinate of the answer choice into the given equation. If the resulting value for the y-coordinate matches that of the answer choice, then that point is on the line.
For 
Example Question #81 : Coordinate Plane
Consider the lines described by the following two equations:
4y = 3x2
3y = 4x2
Find the vertical distance between the two lines at the points where x = 6.
12
36
21
48
44
21
Since the vertical coordinates of each point are given by y, solve each equation for y and plug in 6 for x, as follows:
Taking the difference of the resulting y -values give the vertical distance between the points (6,27) and (6,48), which is 21.
Example Question #3 : Other Lines
For the line
Which one of these coordinates can be found on the line?
(3, –6)
(9, 5)
(6, –12)
(6, 5)
(3, 7)
(3, –6)
To test the coordinates, plug the x-coordinate into the line equation and solve for y.
y = 1/3x -7
Test (3,-6)
y = 1/3(3) – 7 = 1 – 7 = -6 YES!
Test (3,7)
y = 1/3(3) – 7 = 1 – 7 = -6 NO
Test (6,-12)
y = 1/3(6) – 7 = 2 – 7 = -5 NO
Test (6,5)
y = 1/3(6) – 7 = 2 – 7 = -5 NO
Test (9,5)
y = 1/3(9) – 7 = 3 – 7 = -4 NO
Example Question #52 : Lines
Solve the following system of equations:
–2x + 3y = 10
2x + 5y = 6
(3, 5)
(2, 2)
(3, –2)
(–2, –2)
(–2, 2)
(–2, 2)
Since we have –2x and +2x in the equations, it makes sense to add the equations together to give 8y = 16 yielding y = 2. Then we substitute y = 2 into one of the original equations to get x = –2. So the solution to the system of equations is (–2, 2)
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All SSAT Upper Level Math Resources
