Advanced Math and Trigonometry
Here are some advanced math and trigonometry problems for the Accuplacer:
The college-level math section of the exam includes questions on linear and quadratic inequalities.
These types of problems contain 2 variables, usually x and y, and the > or < signs.
If x - 5 < 0 and y > x - 5, then y is greater than what whole number?
First, you should solve the first inequality for x:
x - 5 < 0 =
x - 5 + 5 < 0 + 5 =
x < 5
Now solve for y by replacing x with its value from the first inequality:
y > x - 5 =
y > 5 - 5 =
y > 0
You will also be asked to simplify advanced mathematical equations on the Accuplacer Test:
(-2x2 + x + 1) - (x2 + 4) = ?
This question is asking you to simplify the variables in the parentheses.
First, you should look to see if any term is subtracted.
In this problem, the second part of the equation is subtracted.
So we need to perform the operation on the second set of parentheses to make the numbers negative:
(-2x2 + x + 1) - (x2 + 4) =
(-2x2 + x + 1) - x2 - 4
Then we can remove the remaining parentheses:
(-2x2 + x + 1) - x2 - 4 =
-2x2 + x + 1 - x2 - 4
Now simplify by grouping the integers together and the common variables together:
-2x2 + x + 1 - x2 - 4 =
-2x2 - x2+ x - 4 + 1 =
-2x2 - x2 + x - 3 =
-3x2 + x - 3
You will also be asked questions about trigonometry on the Accuplacer.
Be sure that you know the key trigonometric formulas.
They key trigonometric formulas for any given angle, which we will call A, are as follows:
tan A = sin A ÷ cos A
sin A2 = 1 - cos A2
cos A2 + sin A2 = 1
cos A2 = 1 - sin A2