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 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.