In a school rectangular garden, the number of plants in each row is one less than the number of rows. If the total number of plants is 42, what is the number of rows and the number of plants per rows?

Which of the following expressions is rational expression?

The student is working on the equation $$\frac{x}{3}+\frac{1}{2}=1$$ . His steps are shown as follows:

Step 1: $$2x+3=6$$

Step 2: $$2x=6-3$$

Step 3: $$2x=-3$$

Step 4: $$x=\frac{3}{2}$$

Michelle is 10 years older than her brother, Tony. In five years, her brother will be two-thirds of her age. How old is Tony now?

Which of the following Cartesian planes show the points that is 5 units to the left of the origin and 3 units below x-axis?

Cagsawa Pili Donuts charges Php 24 each for a special doughnut plus a fixed charge of Php 5 for the box. Which equation represents the relationship between the number of doughnuts $$x$$ and the total cost $$y$$ in pesos.

Solong Hill is one of the famous attractions in Bicol found in Camalig, Albay. Suppose the hill was illustrated as shown, the following choices have the same slope with the figure EXCEPT:

Rewrite the equation $$3x+5y=-20$$ in slope-intercept form.

Which of the following lines contain the points $$\left(-2,0\right)\ and\ \left(0,1\right)$$ , what is the graph of a line?

A student is driving a motorcycle from school to his home then he stops at a gasoline station to refill his motor's gasoline tank. If the gasoline is Php 55.10 per liter, how much will it cost if he purchases 4 liters?

Rony and Ryan bought vegetables in the market. Rony bought a total of Php 600 worth of vegetables which includes eggplant that costs Php 55 per kilo and string beans that cost Php 65 per kilo. While Ryan bought a total of php 700 worth of vegetables which includes eggplant that cost Php 60 per kilo and string beans that cost Php 50 per kilo. Which of the following systems of equations best represent the situation?

Which system of linear equations represent the graph?

Which of the following symbols should be used to make the mathematical sentence $$3x+7y\$$ _ $$10$$ a linear inequality in two variables wherein the first expression is greater than the second?

Among the given mathematical sentences, which are considered linear equations in two variables?

A. $$2x=8y-9$$

B. $$5y-3>7x$$

C. $$10y-2x=-4$$

D. $$6x+4y\ne12$$

Lebron is taller than Curry and Curry's height is 6 feet. Suppose Lebron's height and Curry's height has a difference of not more than 0.5 feet, which of the following is true?

i. Lebron's height is $$\le$$ 6.5 feet

ii. Lebron's height is $$\ge$$ 6.5 feet

iii. If $$x$$ = Lebron's height and $$y$$ =Curry's height then $$x+y\le12$$ feet and 6 inches

iv. If $$x$$ = Lebron's height and $$y$$ =Curry's height then $$x+y\ge12$$ feet and 6 inches

Ambo was asked by his brother to buy some quality face masks and face shields. A face mask costs Php 10.25 each while a face shield costs Php 29.50 each. His brother gave him Php 1000 and said he can spend no more than Php 500 and the total number of items should not exceed to 30. In order to maximize the number of items and his expenses, Ambo thought of buying...

i. equal quantity of face masks and face shields

ii. more face masks and less face shields

iii. less face masks and more face shields

iv. the number of face masks is twice the number of face shields

Which of Ambo's though is true?

Which of the following relations is a function?

Ana asserted that the relations (Apple, Narra), (Banana, Coconut), (Orange, acacia), (Grapes, Mahogany) and { ( 3,4) , ( 4,5 ) , ( 5 ,6 ) , ( 6,7 ) , ( 7 , 8 ) } are both functions. Which statement/s can be used to support and prove her claim?

I. It is one-to-many correspondence.

II. It is one-to-one correspondence.

III. It is many-to-one correspondence.

IV. It is many-to-many correspondence.

Emma noticed that the more food she eats, the bigger her abdomen. What is the dependent variable in this situation?

What is the domain of the function

$$\left\{\left(-2,5\right),\ \left(-1,-10\right),\ \left(4,5\right),\left(2,6\right)\right\}$$ ?

Which graph shows a linear function whose slope and $$y$$ -intercept are $$\frac{-2}{3}$$ and 3 respectively?

Jessa opened a bicycle rental shop near Ligao City Park. Suppose her sister wanted to rent a bike at Php 25 per hour and an additional Php 10 for the bike helmet. How much will her sister have to pay if she would rent a bike for 5 hours with bike helmet? Use the table to answer the given question.

It has been observed that a particular plant's growth is directly proportional to time. It is measured 3 cm when it arrived at the nursery and 3.5 cm exactly one week later. If the plant continues to grow at this rate, what would be the height of the plant after 5 weeks?

Which of the following is the hypothesis and conclusion in the statement?

“If a polygon is a rectangle, then its opposite sides are parallel”.

Change the given statement into equivalent IF-THEN statement.

“All prime numbers are odd”.

What is the inverse of a conditional statement:

"If P, then Q"?

Given the conditional statement,"An even number is divisible by 2."

Which is not true about its truth table?

i. The converse and inverse statement are true.

ii. The inverse statement is false.

iii. The contrapositive statement is false.

Consider the following statements:

Statement 1: If the measure of an angle is greater than 90, then it is an obtuse angle.

Statement 2: The measure of $$\angle FIT$$ is $$125\degree$$ .

What could be the next statement?

Which of the following terms best describe the locations of Iriga City and Tabaco City on the Philippine map?

In $$\Delta CEF$$ , $$\overline{ED}$$ bisects $$\overline{CF}$$ . If $$CF=30\ cm$$ , what definition would explain why $$CD=15\ cm$$ ?

Mrs. Locsin asked Nesty to illustrate: $$\Delta TRY\cong\Delta CAN$$ with $$\overline{TR}\cong\overline{CA},\ \overline{RY}\cong\overline{AN},\ and\ \overline{YT}\cong\overline{NC}$$ . If you were Nesty how can you create, visualize and model the triangle.

Which of the triangle congruence can be used to say that these triangles are congruent?

If $$\Delta CAN\ \cong\Delta LYT$$ , find the measure of $$\angle A$$ and $$\angle T$$ respectively.

If $$\Delta MNO\ \cong\Delta RST$$ and $$MN=12\ cm,\ ST=24\ cm$$ and $$RT=6\ cm$$ . What are the respective lengths of $$MO$$ and $$RS$$ in cm?

Refer to the diagram, which of the following congruence statement proves that $$\Delta NOP\cong\Delta DES$$ ?

Given that $$\angle L\cong\angle K$$ and $$\overline{EK}\cong\overline{OL}$$ , what is the third congruence needed to prove that $$\Delta LOW\cong\Delta KEY$$ by ASA Congruence Postulate?

Using the figure, name the postulate that will make the triangle congruent.

Given that $$\angle E\cong\angle R$$ , and $$EF\cong RQ$$ , what is the third congruence needed to prove that $$\Delta EFG\cong\Delta RQP$$ by ASA?

During Math Camp, campers need to construct their tent. They fixed a tent in a shape of a triangle. The illustration shows the structure of the tent. Given that in $$\Delta LOV,\ \overline{OE}$$ is the perpendicular bisector of $$\overline{LV}$$ . If $$LE=40\ cm\$$ and $$EV=8x\ cm$$ , then what is $$x$$ ?

Which of the figures illustrate the Hinge Theorem?

Which of the following set of lengths does not form a triangle?

Given the figure, which angles measure greater than the measure of $$\angle6$$ ?

Given $$\Delta ABC$$ with exterior angle $$\angle BCD$$ , find the measure of $$\angle B$$ , if $$m\angle A=58\degree$$ and $$m\angle BCD=135\degree$$ .

Nicko and Duane are playing a five-peso coin and an octahedron, a special die with eight congruent faces marked 1 to 8. If they toss the coin and roll the octahedron simultaneously, how many possible outcomes are there?

You were invited by your cousin to attend her birthday party. You only have four pairs of pants, two shirts and three pairs of shoes left in the cabinet. By applying the fundamental counting principle, how many different outfits can you choose?

In a raffle draw, the grand prize is a 10.4-inch android tablet. Joy hopes to win the android tablet for her online class. She joins the raffle draw and wrote her name on five tickets. If there is a total of 155 tickets in the raffle draw, what is the probability that she will win the grand prize?

A teacher prepared a prize box for her students during a quiz bee. If a student answers a question correctly, he will pick a prize inside the box. The prize box contains different colors of pens. Nine of the pens are blue, three of the pens are green, and twelve of the pens are red. What is the probability that a student selects a green pen?

Which of the following situations illustrate theoretical probability and experimental probability?

I. John tossed a coin 10 times and recorded the results. He came up with the table on the left. Then he computed the probability: $$\frac{6}{10}=0.6=60\%$$

II. In tossing a coin, Siena would expect 50% of the time it might land on heads. So, for 10 times of tossing a coin, she would expect it to land on heads 5 times.

There are 12 colored candies in a jar consisting of pink, red, blue and orange . Five of the candies are pink. The probability of getting a red candy is $$\frac{2}{12}$$ or $$\frac{1}{6}$$ , which is twice the probability of getting blue candies. Construct a table for the probability of selecting a colored candy?