All GMAT Math Resources
Example Questions
Example Question #51 :Solving Equations
Solve forin the equation
or
or
or
Example Question #52 :Solving Equations
Solve forin the equation:
or
or
or
or.
or
or.
is a perfect square trinomial:
The equation can be rewritten as
By the square-root property, since no assumption was made about the sign of any variable,
Therefore,
or.
Example Question #53 :Solving Equations
Solve forin the equation
or
or
or
or
or
or
The statement is a quadratic equation in, so it can be solved using the quadratic formula,
where
Example Question #54 :Solving Equations
How many distinct solutions are there to the following equation?
2
Infinitely Many
1
0
3
2
We are given a classic quadratic equation, but we aren't asked for the solutions, just how manydistinctsolutions there are. Remember, distinct solutions are different solutions. If we get two solutions that are the same numbers, they do not count.
The quickest way to solve this involves some factoring.
Start by pulling out a 3
Now, within our parentheses, we have a classic difference of squares. The interior factors further to look like this.
From here we can either solve the equation and count our solutions, or we can recognize that the two factors are different and therefore will give different solutions. Let's solve it by using the Zero Product Property
Solution 1
Solution 2
Thus, we have two distinct solutions!
Example Question #1451 :Problem Solving Questions
Solve forin the equation
Example Question #1452 :Problem Solving Questions
is 44% of.
is what percent of?
is 44% of, soisof.
Also,is 300% of.
Add these:
isof
Example Question #1453 :Problem Solving Questions
Solve for:
To solve the equation, we first group theterms on one side and the constants on the other side:
Now we can simply divide both sides byto solve for:
Example Question #1454 :Problem Solving Questions
Solve the following equation:
To solve the equation, we must simplify it by adding together the like terms. We can group theterms on the left side of the equation and the constants on the right side of the equation:
Example Question #1455 :Problem Solving Questions
Solve the following equation for:
To solve, we must isolate. First, subtractfrom both sides and then divide both sides by.
Example Question #1456 :Problem Solving Questions
Solve for:
To solve, isolate.