Find the lengths of the sides of a triangle, if the side lengths are represented as x, x + 7, and 2x + 1.

Twelve people entered a room.  Three more than two-thirds of these people then left.  How many people remain
in the room ?

Solve the following system of equations, algebraically, by substitution.

y + 2x = 3
x = 3y + 5

Six less than three times a number is four more than twice the number.  Find the number.
​A.)  44
B.)  2
C.)  1
​D.)  10

A rain barrel contained 4 gallons of water.just before a thunderstorm.  It rained steadily for 8 hours, filling the barrel at a rate of 6 gallons per day.  How many gallons of water did the barrel have after the thunderstorm?
A.)  4 gallons
B.)  6 gallons
C.)  7 gallons
​D.)  9 gallons

Find three consecutive odd integers whose sum is 117.

The base of a rectangle is seven times the height.  If the perimeter is 32 meters, what is the area?
A.)  28 m²
B.)  24 m²
C.)  16 m²
D.)  14 m²

Find f(-2) for the function  f(x) = -3x³ - x² + 2x - 8

If the sum of three times a number and -5 is multiplied by 6, the answer is 42. Find the number.

The length of a rectangular table cloth is 2 ft more than the width. If the table cloth is w feet wide, express the
​perimeter as a function of the width.