Algebra II : Mathematical Relationships and Basic Graphs
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Example Questions
Example Question #1 : Elementary Operations
Solve the equation by Substitution.
First, take the first equation and solve for x in terms of y.
From here, substitute the equation you found for x into the second equation and solve for y.
Now, substitute the y value found into the original equation and solve for x.
Example Question #4 : Addition And Subtraction
Solve the equation by Elimination.
To solve this system of equations by elimination you first need to multiply the first equation by -2. This will allow the y terms to cancel when equation 1 and equation 2 are adding together.
Now solve for x.
Substitute the x value into the orginial equation and solve for y.
Example Question #1 : Elementary Operations
Subtract:
Example Question #5 : Addition And Subtraction
Simplify, if possible:
There is only one like-term in the expression given, which is 
Add the like term. The rest of the terms cannot be combined by adding or subtracting.
The correct answer is:
Example Question #1 : Addition And Subtraction
Solve:
Simplify first by eliminating the parentheses. To do this you will need to distribute the coefficient term outside the parentheses to each term within the parentheses.
Next, combine like terms.
Example Question #7 : Addition And Subtraction
Solve:
Add the ones digits.
Since this number is 
Add the tens digits with the carry over.
Add the hundreds digit with the carry over. The hundreds digit for the second number in the problem is zero.
Since there is no carry over and there is no thousands digit for the second number, the thousands digit of the answer is just 
Combine all the ones digits in chronological order from thousands to the ones digits.
The answer is:
Example Question #8 : Addition And Subtraction
Solve:
In order to simplify this, we need to combine like-terms. The coefficients of unlike terms cannot be combined.
Add 
Add 
Add 
Combine all the terms.
The answer is:
Example Question #9 : Addition And Subtraction
Solve:
In order to solve the problem, first evaluate 
Borrow a one from the six in the tens digit in order to subtract the ones digit.
The six in the tens digit becomes a five. Subtract the five with the tens digit of the second number.
Add 
Add the ones digit.
Since the number is ten or greater, use the tens digit as a carryover to the next calculation.
Combine the ones digits.
The answer is 
Example Question #11 : Elementary Operations
Evaluate:
In order to subtract the number, take the bigger number and subtract the smaller number, and then apply the negative sign.
The common factor of negative one can be pulled out to rearrange the numbers.
Example Question #12 : Elementary Operations
Combine the following terms:
Combine the following terms:
To begin, we can consider each step independently. Because we are only dealing with addition and subtraction, the order we do this in does not matter. Rewrite as follows:
So there we go, 
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