Simplify each expressions and state the domain : 

Reduce the following rational expressions to their lowest terms

Describe the error student made in multiplying and simplifying

The LCM of the polynomials  is.

Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).

The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.

What is the simplified form of the rational expressions ? What is the domain for which the identity between the two expressions is valid ?

Explain  =1 why   is a valid identity under the domain of all real numbers except .

The HCF of the polynomials  is:

simplify 

When are two rational expressions equivalent? Explain with an example.
 

Sketch the graph of 

If the LCM of f(x) and g(x) is , then their HCF can be ________.

Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

Solve for 

A Company’s profit from a certain product is represented by p(x)= -5x²+1 , 125x-5000, where x is the price of the product . Compare the growth in profits from x= 120 to 140 and from x= 140 to 160 , What do you notice ?

 Solve for x