All Algebra II Resources
Example Questions
Example Question #1 : Solving Expressions
Solve for x.
a. Simplify each side of the equation using the distributive property.
b. Add 6x to both sides of the equation to move all terms with "x" to the left side of the equation.
c. Add 5 to both sides of the equation to move all constants to the right side of the equation.
d. Divide both sides of the equation by 30 to isolate the variable. Simplify the resulting fraction
Example Question #2 : Solving Expressions
If , simplify .
First, you substitute for :
Next, use PEMDAS (Parentheses, Exponents, Multiplication, Dividion, Addition, and Subtraction) to preform the algebraic operations in the correct order. When we apply this rule to simplify we get the following:
Example Question #3 : Solving Expressions
Solve for if . .
First, substitute 2 for z:.
Then, simplify: .
Next, you must isolate y by moving all other numbers and variables to the other side of the equation: , which gives you .
And simplify: .
Here, we then take the square root of both sides: .
Simplfy: , because both and .
Example Question #4 : Solving Expressions
Simplify given and .
First, substitute 1 for z, 2 for x and 3 for y: and simplify: .
Using PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction), we simplify the multiplication: .
Then add and subtract from left to right: .
Example Question #5 : Solving Expressions
Emily buys a rose plant when it is inches tall. The tag indicates that it will grow inches every year. She also buys a tulip plant when it is inches tall. The tag indicates that it will grow inches a year. After how many years are the two plants the same height?
They will never be the same height at the same time.
We can express each plant's growth as a function of years in the following equations:
Rose height after x years =
Tulip height after x years =
Since we are looking for the year when the two plants are of equal height, we set these expressions for height equal to each other, and solve for x:
Combining like terms by subtracting 2x from both sides and subtracting 5 from both sides gives us:
The plants will reach the same height after 6 years of growth.
Example Question #6 : Solving Expressions
Evaluate the expression if , , and
After you plug in all of your given values the expression is as followed;
Since the numerator is zero, therefore, the entire fraction equals zero.
Example Question #7 : Solving Expressions
Evaluate the expression if , , and
When you plug in your given values the expression should read as followed;
Example Question #8 : Solving Expressions
Simplify the expression

Example Question #9 : Solving Expressions
Evaluate the expression when and .
First, substitute for and for :
Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:
Leaving you with,
Example Question #10 : Solving Expressions
Evaluate the expression given .
First, you substitute for :
Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:
Leaving you with,
All Algebra II Resources
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