Algebra II : Algebra II
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Example Questions
Example Question #2031 : Algebra Ii
If 
Substitute the values of 
Rationalize the denominator by multiplying the top and bottom with the denominator. This will eliminate the radical in the denominator.
Cancel the integers.
The answer is:
Example Question #2032 : Algebra Ii
Solve the expression: 
In order to solve this expression, we will need to substitute the assigned values into 
Simplify the terms by order of operation.
The answer is:
Example Question #2033 : Algebra Ii
If 
Substitute the values into the expression.
Simplify the terms by order of operations.
The answer is:
Example Question #2034 : Algebra Ii
If 
Substitute the values into the expression.
In order to evaluate this expression, we will need to rewrite the negative exponents into fractions.
Simplify the fractions.
Reduce this fraction.
The answer is:
Example Question #2031 : Algebra Ii
If 
Substitute the values in the expression.
Rationalize the denominator by multiplying square root of three on the top and bottom of the fraction.
Simplify the top and bottom.
The answer is:
Example Question #1 : Setting Up Inequalities
A grocer decides to mix cashews, almonds, and walnuts and sell the mixture for $14.99/lb. In order for the mixture to be profitable, he would like to make sure that the cost of making the product is less than the selling price.
Cashews cost $8.99/lb
Almonds cost $6.99/lb
Walnuts cost $10.99/lb
Which of the following inequality ensures that the grocer will make a profit by selling the mixture? For one pound of mixture, he uses the following quantities:
x: amount of cashews in the mix
y: amount of almonds in the mix
z: amount of walnuts in the mix
The grocer wants the cost of the mixture to be less than the selling price.
Selling price = 14.99
Find the cost of the mixture
1. cost of cashews in mix:
2. cost of almonds in mix:
3. cost of walnuts in mix:
The cost of the mixture =
Cost of the mixture is less than Selling price
Example Question #2031 : Algebra Ii
You're running a pineapple delivery company and you have 
If we write the number of pineapples ordered as 
6 dollars * (number of pineapples) from 1000 dollars must be greater than or equal to 400 dollars.
This can easily be converted to mathematical symbols as
Example Question #1 : Setting Up Inequalities
Angie and Kirsten are looking to buy a couch that is less than 
Which set of inequalities represents a solution for how much each girl will spend on the couch?
If Kirsten is represented by the variable 
Example Question #4 : Setting Up Inequalities
Write the following statements as a set of inequalities:
- The total number of shirts and pants I bought did not exceed 20.
- The cost of the total number of pants and shirts I bought was more than 50 dollars.
Where, s is the number of shirts, p is the number of pants and c, is the total cost.
The first statement says that the total number of pants and shirts does not exceed 20. This means that the total can be 20 but nothing more which is represented by:
The second sentence says that the cost was greater than 50 dollars which is represented by:
Example Question #5 : Setting Up Inequalities
Set up the inequality: Twice a number is less than twice the product of the number and five.
To set up this inequality, break up the statement into parts. Assume 
Twice a number:
Is less than:
Product of the number and five:
Twice the product of the number and five:
Connect the statement.
The answer is:
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