All Algebra II Resources
Example Questions
Example Question #51 : Solving Equations
Solve for :
In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.
First multiply both sides by 3.
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Next, add 4 to both sides.
Finally, divide both sides by 2.
Example Question #2382 : Algebra Ii
Solve for :
Before we start with inverse opperations, we need x to be out of the denominator:
First multiply both sides by x- 7.
Next, divide both sides by 4.
Finally, add 7 to both sides.
Example Question #2383 : Algebra Ii
Solve the following equation for :
and
No real solutions
and
and
Solve the following equation for x:
Begin by factoring the given equation.
We want something of the following form:
Where a and b multiply to get 6 and add to get .
A good place to start would be listing the multiples of 6:1,2,3,6
2 and 3 seem like a good place to start. Since we need negative 5 and positive 6, keeping 2 and 3 negative seem like a good bet.
Because this equation is set equal to zero, we can use the zero product property rule to set each half of our factored equation equal to zero and then solve.
So we have 2 answers: and
Example Question #2384 : Algebra Ii
Solve this equation:
Combine terms by subtracting:
Convert non terms to decimals or to fractions:
We choose to convert to a fraction because it is easier.
Combine fractions by adding:
Simplify and solve for :
Example Question #2385 : Algebra Ii
Solve:
Since the bases are alike in this problem, taking the log of both sides will eliminate the base terms.
Take the natural log of both sides.
The equation becomes:
Solve for .
The answer is:
Example Question #2386 : Algebra Ii
Solve the equation for
Divide both sides by
Example Question #191 : Equations
Solve the system of equations.
Use elimination, multiply the top equation by -4 so that you can eliminate the X's.
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Combine these two equations, and then you have;
Plug in y into one of the original equations and solve for x.
Your solution is .
Example Question #542 : Basic Single Variable Algebra
Find a solution to the following equation:
Find a solution to the following equation:
We can solve for x using basic algebra.
Begin by subtracting 45:
Now, divide by -13 to find the final answer:
Making our answer:
Example Question #62 : Solving Equations
The answer is not present
Isolate the term with x:
Simplify:
Isolate x entirely:
Example Question #2389 : Algebra Ii
Cannot be solved
Square both sides to remove the radical:
Move all terms to the left side and set equal to 0:
Factor the quadratic and set the factors equal to 0:
Solve the factors:
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