Algebra II : Elementary Operations
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Example Questions
Example Question #1 : Addition And Subtraction
Above is the menu at a coffee shop.
Jerry has a coupon that entitles him to a free butter croissant with the purchase of one large drink of any kind. The coupon says "limit one per coupon".
He decides to purchase a large espresso, a large cappucino, and two butter croissants. Disregarding tax, how much will he pay for them?
None of the other responses is correct.
The coupon will entitle him to one free croissant, so Jerry will pay for the large espresso, the large cappucino, and one butter croissant. The charge will be the sum of the three prices:
Example Question #2 : Addition And Subtraction
Find the distance, 
Use the distance formula to solve this problem.
Plugging in our points A and B we get the following distance.
Example Question #1 : Addition And Subtraction
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 #1 : 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 
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