If the perimeter of a square is $$12x-8$$ , give its area in expanded form.

(a)  

The midpoint of (5,0) and point B is (-2,6). What are the coordinates of B?

(a)  

What is the y-intercept of the line passing through (2,-2) and with slope 4?

Write in scientific notation the quotient of $$9\times10^{-3}$$ divided by $$12\times10^{-4}$$ .

(a)  

A die is rolled. Find the probability that the number that comes up is not a multiple of 3.

(a)  

If the mean of three numbers is 20 and the mean of five numbers is 12, what is the mean of the eight numbers combined?

(a)  

What is 39990 + 199?

(a)  

If the difference between the square of a positive integer and the integer before it is 33, what is the integer?

(a)  

If $$4^{x+2}=\frac{1}{8}$$ , what is the value of x?

(a)  

Write sum of $$\frac{2}{x+1}$$ and $$x-1$$ as a fraction in lowest terms.

(a)  

Two years ago, Paolo was three times as old as Ron. Ten years from now, Paolo will be twice as old as Ron. How much older is Paolo than Ron?

(a)  

If f(x) is a linear function such that f(-4) = 1 and f(5) = 7, what is the value of f(1250)?

(a)  

The sum of two numbers is 25 and their difference is 19. What is their product?

(a)  

If the largest number, 50, is removed from a set of 10 numbers, the mean is reduced by 4. What is the mean of the original set of 10 numbers?

(a)  

The officers of a math club will pay equal contributions to buy a cake worth PhP480 for their moderator. If there were two more officers, their contribution will be reduced by PhP12 each. How many officers are there?

(a)  

Solve $$6^{3x-4}2^{2x+3x}=648\left(48\right)^x$$

(a)  

If A(-2, -1) and B(4, 3) are the endpoints of the base of an isosceles triangle, give the equation, in slope-intercept form, of the line containing the third vertex of the triangle.

(a)  

What is the value of x, if the numbers 2, 2x, 3, 6, 4, 3, 2, 9 have a mean of 7 and median 5?

(a)  

Find the next two elements of the sequence 1, 6, 13, 24, 37.

(a)  

Factor completely: $$25a^2-9b^2$$

(a)  

Simplify: $$3^n+3^n+3^n$$

(a)  

Write in lowest terms without zero or negative exponents: $$\frac{a^{3p+1}b^{p+2}}{a^{3p}-b^p}$$

(a)  

Reduce to lowest terms: $$\frac{\left(2x+7\right)x+3}{\left(2x+7\right)\left(x+3\right)}$$

(a)  

Perform the indicated operation and simplify: $$\frac{x^3}{x^2-4x+3}\cdot\frac{x^2+2x-15}{x^2+5x}$$

(a)  

Solve the equation of F: $$C=\frac{5}{9}\left(F-32\right)$$

(a)  

Factor completely: $$x^3+64y^3$$

(a)  

Write in lowest term without zero or negative exponents: $$\left(\frac{x^3y^{-2}z^{-7}}{x^{-3}y^{-5}z^2}\right)^{-\frac{1}{3}}$$

(a)  

What is the perimeter of a square if its area is $$16x^2+56x+49$$ . where x > 0

(a)  

As part of a school's coastal cleanup drive, a to visit. its marine station has been

organized. Eight teachers and staff, together with 210 students, signed up for the

trip to pick up garbage that has been washed up on shore. How many buses are

needed for the trip, if each bus can accommodate 40 people?

(a)  

How many solutions does the system of equations have?

$$5x-4y=20$$

$$\frac{x}{4}-\frac{y}{5}=1$$

(a)  

Solve the equation:

$$\frac{3x+2}{2}+3x-2=\frac{2x-3}{5}$$

(a)  

If $$f\left(x\right)=\frac{\left|x\right|}{x}$$ , what is $$f\left(a\right)$$ if $$a<0$$ ?

(a)  

Perform the indicated operations and simplify:

$$\frac{4}{1+y}+\frac{6y}{1-y^2}+\frac{3}{y-1}$$

(a)  

Factor completely: $$ay^3-2ay^2-9ay+18a$$

(a)  

Let $$m$$ , be an integer. Give the contrapositive of the statement "If $$m^2$$ is even then
$$m$$ is even."

(a)  

The denominator of a fraction is a 3 less than twice the numerator. If 2 is added to

the numerator and subtracted from the denominator, the resulting fraction Is equal

to 2. Find the original fraction.

(a)  

ln ΔPQR. m∠Q = 49° and m∠R = 77°. Arrange the sides of the triangle in order

of increasing length.

(a)  

Solve the equation for b:

$$\frac{a}{b}=\frac{a-x-y}{b-z}$$

(a)  

Simplify the complex fraction:

$$1+\frac{x}{1-\frac{1}{1-x}}$$

(a)  

A line with slope 2/3 passes through the point (8, -5). Write un equation of the line

m slope-intercept form.

(a)  

Line $$\iota$$ has x-intercept 4 and passes through (2,-5). What is the y-intercept of $$\iota$$ .

(a)  

What are the domain and range of the function $$h\left(x\right)=\frac{3}{x-2}?$$

(a)  

Write an equation of the line through the point (5. -3) and whose graph has no y-intercept.

(a)  

Write an equation of the perpendicular bisector of the line segment joining (-5, -2)

and (-9,4).

(a)  

Find the maximum value of x: such that 13! is divisible by 2^x.

(a)  

Claudine is participatlug i.n a cosplay contest. If she can choose from 5 different

outfits, 4 wigs, and 8 props, how many different cosplav costumes can she make?

(a)  

Find the solution set of the linear system:

$$2x+3y=5$$

$$3x-2y=14$$

(a)  

Find two integers whose sum is 8 and whose difference is 12.

(a)  

Find the area of the region on the first quadrant of the xy-plane bounded by the x-axis, the y-axis, and the line 4x + 3y = 24.

(a)  

The mean of a set of 40 numbers is 60, and the mean of another set of 35 numbers

is 30. What is the mean when the two sets are combined?

(a)  

Senior citizens get n 20% discount for admission tickets in a movie house priced at

Php 250 per adult. If l,000 tickets were sold and total receipts were Php 231,000,

how many senior citizens watched the movie?

(a)  

Von can do a carpentry job in 45 min while his brother JR can do the same job in

36 min. How long will it take them to finish the job if Von and JR work together?

(a)  

Two 6-sided dice are rolled simultaneously. If the dice are fair, what is the probability

that the sum of the two numbers on the dice is divisible by 3?

(a)