Find the values of x that satisfy the equation |x| + x = 0.

What is the sum of the first 100 even integers?

What is the remainder when 1 – x + 2x² – 3x³ is divided by  x + 1?

A map has a scale of 2 cm is to 5 km. If a highway is 28 km, how long is it in the map?

Average (3 points)

What is the sum of

1 – 2 + 3 – 4 + 5 – 6 +… + 2017?

The first term of the geometric sequence is 10, and its third term is 20. What is the fifth term?

The 2nd and 30th terms of an arithmetic sequence are 7 and 91 respectively. What is the 10th term of the sequence?

The minimum value of

f(x) = 3x² – 4x + b is zero. What is b?

Find the value of k so that 2 will be a root of k/x – k = 7.

An equilateral triangle and a square have equal perimeter. If the area of the square is 45cm², what is the area of the triangle?

By selling the balut at P12.00 each, a vendor gains 19.7%. The price of balut rises by 12.5%. If he sell the balut at the same price at before, what is his new gain in percent?

A father is three times as old as his son . Four years ago, he was four times as old as his son. How old is the son be six years from now?

How long is the shortest chord that can be drawn through a point 20 cm from the center of a circle whose radius is 29 cm long?

The distances between the centers of three circles that are mutually tangent to each other externally are 10, 12, and 14 cm. Find the are of the largest circle.