All GMAT Math Resources
Example Questions
Example Question #1417 :Problem Solving Questions
Give the solution set of the equation:
Case 1:
Then, and the equation becomes
Case 2:
Then, and the equation becomes
However, this conflicts with the fact that, so this is a false solution.
The only solution is therefore.
Example Question #1418 :Problem Solving Questions
Give the solution set of the equation:
Case 1:is nonnegative - that is,.
The equation becomes
Either, in which case,
or, in which case, which is impossible, as we are assuming thatis nonnegative.
case 2:is negative - that is,
The equation becomes
Either, in which case, which is impossible since we are assuming thatis negative,
or, in which case.
andcan both be confirmed as solutions.
Example Question #1419 :Problem Solving Questions
What is the equation of the line that goes throughand is parallel to?
First, we have to find the slope fromusing the general formTherefore
Parallel lines have the same slope, so the new line has a slope ofand point.
Use the point-slope equation:
Example Question #1420 :Problem Solving Questions
What is the-intercept of?
To solve for the-intercept, you set theto zero and solve for:
-intercept:
Example Question #21 :Solving Equations
What is the y-intercept of?
To solve for the y-intercept, you setto zero and solve for:
Therefore, the y-intercept is:
Example Question #22 :Solving Equations
What is the-intercept of?
To solve for the-inter, you setto zero and solve for:
x-intercept:
Example Question #23 :Solving Equations
What is the y-intercept of?
To solve for the y-intercept of, you setto zero and solve for:
y-intercept:
Example Question #24 :Solving Equations
To convert Fahrenheit temperatureto the equivalent in Celsius, use the formula
To the nearest tenth of a degree, convertto degrees Celsius.
Example Question #25 :Solving Equations
Solve for:
The equation has no solution.
Rewrite as a compound equation, then solve each equation individually:
or
Example Question #26 :Solving Equations
Solve for:
The equation has no solution.
Eliminate the denominators by multiplying by, then solve the resulting equation:
Solve using themethod:
or