All Algebra II Resources
Example Questions
Example Question #11 : Expressions
Express as a mathematical expression.
more than times
Take every word and translate it into math.
more than means that you need to add to something.
times something means that you need to multiply to something.
That something is so just combine them to have an expression of .
Example Question #1892 : Algebra Ii
Express as a mathematical expression.
is less than the quotient of and
Take every word and translate into math.
less than means that you need to subtract from something.
Anytime you take a quotient of and , is the in the numerator and is in the denominator. Therefore expression is .
Let's combine to create the expression of .
Example Question #1893 : Algebra Ii
Jacob just opened a soda bottling factory. His starting costs were . For each soda he bottles, he will make . Which of the following expressions shows how much money Jacob will make in terms of , the number of sodas he bottles.
The $10,000 that Jacob invested can be considered as a negative starting value, which will be the y-intercept in the equation.
The total money Jacob makes depends on how many bottles he sells.
If each bottle earns Jacob 50 cents, then the correct equation is .
Example Question #1894 : Algebra Ii
Lisa has $6. She wants to buy some apples and bananas, but wants exactly ten fruits total. If bananas cost 50 cents each and apples cost $1 each, how many apples and bananas should she get?
Let represent bananas and represent apples. Set up the system of two equations but do not solve them.
We need to write two equations, one for the total cost of all the fruits, and one for the total number of fruits.
If represents the number of bananas, and represents the number of apples, then from the problem statement we know that
must be equal to because Lisa wants total fruits.
For the other equation we know the price of each fruit and the total amount she wants to spend.
We have now identified the two equations. If you were to solve them, you would see that and , so she should get apples and bananas.
Example Question #11 : Expressions
Set up the following expression: Twenty less than eight times a number.
To set up the expression, evaluate part by part. Let be the unknown number.
Eight times a number:
Twenty less than eight times the number means that this product is subtracted twenty. The final answer must be less than eight times the unknown number by twenty.
The correct answer is:
Example Question #12 : Expressions
Select the best choice: The square of the difference of and .
Separate the statement by parts.
The difference of and :
Square of a the difference of and :
The correct answer is:
Example Question #12 : Expressions
Write the expression: The squared quantity of six less than three times a number squared.
Split up the sentence into parts.
A number squared:
Three times a number squared:
Six less than three times a number squared:
The squared quantity of six less than three times a number squared:
The answer is:
Example Question #14 : Expressions
Set up the expression: Seven more than the square root of a number cubed.
Break up the sentence into parts.
A number cubed:
The square root of a number cubed:
Seven more than the square root of a number cubed:
The answer is:
Example Question #11 : Expressions
Set up the expression: The square root of six times a number.
Write the expression by splitting up the statement into parts.
Six times a number:
The square root of six times a number:
The expression is:
Example Question #62 : Basic Single Variable Algebra
Set up the expression: The difference of three times a number and another number cubed.
Let be a number, and let be another number.
Set up the parts.
Three times a number:
Another number cubed:
The difference of three times a number and another number cubed:
The answer is:
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