Which of the following is NOT a rational algebraic expression?

Liana travels from point A to point B with coordinates (3,4) and (5,6).  Meriele travels from point C to point D with coordinates (1,8) and (2,2).  Alyanna travels from point D to point E with coordinates (1,1) and (2,2). Who has traveled the steepest slope?

What is the slope of the linear equation 2y = 3x – 6?

What is the standard form of the linear equation y =3x – 4 ?

Which of these graphs show the linear equation x + y = 2?

Which statement describes the slope if the graph of the line isincreasing from left to right?

Geraldine travels from home to school and passes through the point (1,0)and (2, -2) respectively. Rocelina travels from home to school and passes through the point (2,1) and (3, 4) respectively. Which of them forms an equation which has a positive slope and a negative y-intercept?

What is the standard form of the equation of theline through the given point (1,5) and slope 4?

Mr. Reyes would like to invest his money in a milk tea business.  The following shows the profit of different stores where x represents the number of milk tea sold in each store and y represents the profit:

Store A: y = 3x – 1      Store B: y = 2x + 8       Store C: y = x + 7        Store D: y = 4x – 30

If there are 20 sold milk tea for a day, which store generated thelargest and smallest profit?

What system of linear equation is defined in  y=-3x+1

                                                                                                     2x+y = 5 ?

What is the graph of the system defined in  x + y = - 5

                                                                                                x - y =  3   ? 

What kind of graph is formed in the linear equations 2x + 4y = 10

                                                                                                                       x - y = 3    ?

What is the solution set of  x - y = 2

                                                             x + y = 6   ?

Aldric owns a farm. He raises chickens and pigs. There is a total of 50 animals in the farm. 124 animal feet can be seen. How many chickens are there? How many pigs?

Which of the following is a linear inequality in two variables?

How can you represent the graph of the linear inequality 2x + 3y  ≤ 6?

Mr. Reyes asked his students to prepare a rectangular picture frame such that its perimeter is at most 30 in. Which of the following could be the maximum sketch of a frame that his students may prepare?

The difference between the scores of Jema and Rinain in the test is not more than six points. Suppose Jema’s score is 32 points, what could be the score of Rina?

John paid less than P1,000.00 for two kilos of pork and three kilos of chicken. Suppose a kilo of  pork costs P250.00. What could be the maximum cost of a kilo of chicken to the nearest pesos?

For snacks, Julia offers two different types of sandwiches: an egg sandwich is P10.00 per sandwich and a chicken sandwich cost P18.00.Julia sold at least 260 sandwiches for a minimum of P3,320.00 yesterday. How many egg sandwiches, at the very least, were sold?

Each movie ticket costs P100.00 for kid and P200.00 for adult. At one showing of the movie, one  adult brought 4 children and the remaining adults brought two children each. The total ticket sales were not more than P60,000.00. What is the maximum number of children and adults who watched the movie?

Which relation/s below is/are function(s)?

I. {(-1, 2), (-2, 3), (-3, 4), (-4, 5)}                             III. {(-1, 2), (-2,3), (-1,4), (-2,5)}

II. {(2, -1), (3, -2), (4, -3), (5,-4)}                             IV. {(-1, -1), (-2, -2), (1, -3),(2, -4)}

Which of the following table of values projects a function that satisfies the equation y = 3x – 4?

Mark has a grass cutting job in his neighborhood. He works up to 10 hours per week and gets paid P100.00 per hour. Identify the independent variable.

What are the range values of f(x) = 3x – 2 with domain {-1,-2, -3, -4}?

Which of the following graphs is a linear function?

Sam chose to take apart-time job at a fast-food restaurant. How many hours a day must she work, on average, to pay for a smartphone that costs P6,300.00 in a week, if the rate per hour is P150.00?

Ben commutes a maximum of five kilometers while playing chess with  his cousin on Saturdays

and Sundays. It costs him P25.00to travel one kilometer. Ben could save up to how much money if he decides not to visit his cousin this weekend?

Gab lives in one area, but he begins a new career in a nearby city. Heuses his new car to travel

to and from. He commutes 90kilometers each Monday from his home to the office and stays

the week in a condo owned by the company. Every Friday, he makes the trip home. The

odometer on his automobile indicates that he has driven 870 kilometers since purchasing it

after 4 weeks of this routine activity. What is the linear function that relates the distance y the car has traveled to the number x of weeks since he last used it?

What is the if-then form of the statement: "Parallel lines never intersect”?

Which of the following is the converse of the statement:” If you are in love, then you are inspired”?

Determine the contrapositive form of the statement “A triangle is a polygon”.

What is the inverse of the statement:” If the number is divisible by 2 and 3, then it is divisible by 6”?

What is the equivalent of the if-and-then statement “If a number is even, then it is divisible by two.”?

What conclusion can be logically deduced based on the following statements?

                                 If points are collinear, they lie on the same line.

                                           Points M, A, T, and H are collinear.

By contradiction, Lucas is proving the theorem "A triangle has at most one obtuse angle."

He started off by presuming that ∠B and ∠E in ∆BEA are both obtuse. Which theorem will Lucas employ to arrive at a contradiction?