Algebra II : Expressions
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Example Questions
Example Question #86 : Basic Single Variable Algebra
Set up the expression: The sum of twice a number and negative six.
The sum indicates addition.
Twice a number:
Negative six:
Add the two values.
Notice that a positive and a negative value will result in a negative sign.
The answer is:
Example Question #87 : Basic Single Variable Algebra
Set up the expression: Three less than twice a number raised to the tenth power.
Break up the sentence into parts.
Twice a number raised to the tenth power:
Three less than twice a number raised to the tenth power:
The answer is:
Example Question #88 : Basic Single Variable Algebra
Set up the expression: Three eighths less than half a number squared.
Break up the statement into parts.
Half a number squared:
Three eighths less than half a number squared:
The answer is:
Example Question #89 : Basic Single Variable Algebra
Set up the expression: The sum of the cube root of twice a number and the square root of three times the number.
Break up the statement into parts.
Cube root of twice a number:
Square root of three times the number:
The sum of both:
The answer is:
Example Question #90 : Basic Single Variable Algebra
Set up the expression: Five times the square root of eight times a number.
Break up the statement into parts.
Eight times a number:
The square root of eight times a number:
Five times the square root of eight times a number:
The answer is:
Example Question #41 : Expressions
Set up the expression:
The fourth root of twice a number cubed.
Break up the sentence into parts.
Twice a number cubed:
The fourth root of twice a number cubed:
The answer is:
Example Question #1 : Simplifying Expressions
Simplify x(4 – x) – x(3 – x).
0
3x
x
1
x2
x
You must multiply out the first set of parenthesis (distribute) and you get 4x – x2. Then multiply out the second set and you get –3x + x2. Combine like terms and you get x.
x(4 – x) – x(3 – x)
4x – x2 – x(3 – x)
4x – x2 – (3x – x2)
4x – x2 – 3x + x2 = x
Example Question #1 : How To Divide Trinomials
Divide:
Factor the numerator and denominator:
Cancel the factors that appear in both the numerator and the denominator:
Example Question #1 : How To Divide Monomial Quotients
Simplify:
Example Question #2 : How To Divide Monomial Quotients
Simplify the following:
First, let us factor the numerator:
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