Solve the equation. Write a reason for each step.
8(−x − 6) = −50 − 10x

Find the measure of each angle of an equilateral triangle using base angle theorem.

The length of each side of a regular pentagon is . Find the value of  if its perimeter is .

Name the property of equality the statement illustrates.
Every segment is congruent to itself.

If f(x) satisfies the relation 2f(x) +f(1-x) = x² for all real x , then f(x) is

If f:R->R be a function whose inverse is (𝑥+5)/3 , then what is the value of f(x)

Let A= {x, y, z} and B= { p, q, r, s}, What is the number of distinct relations from B to A ?

Let f, g : R→R be defined, respectively by f(x) = x + 1, g(x) = 2x – 3. Find f + g, f – g and f(g)

Name the property of equality the statement illustrates.
If ∠P ≅ ∠Q, then ∠Q ≅ ∠P.

Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by f(x) = ax + b, for some integers a, b. Determine a, b.

Note: All functions are relations but all relations are not functions.

Planet Wiener receives $2.25 for every hotdog sold. They spend $105 for 25 packages of hot dogs and 10 packages of buns. Think of the linear function that demonstrates the profit based on the number of hotdogs sold
Rate of Change:___________
Initial Value:______________
Independent Variable:______
Dependent Variable:________
EQ of Line:________________

Sketch a graph modelling a function for the following situation:
A dog is sleeping when he hears the cat “meow” in the next room. He quickly runs to the next room where he slowly walks around looking for the cat. When he doesn’t find the cat, he sits down and goes back to sleep. Sketch a graph of a function of the dog’s speed in terms of time.

In the given diagram, m∠1 ≅ m∠3
Prove that ∠POR ≅ ∠QOS.

When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.