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# Chapter 6 Review

AB
3x(2x + 3) - 5(2x + 3)(2x + 3) (3x - 5)
5x(x + 1) - (x + 1)(x + 1) (5x - 1)
Factor: x(x - 1) + 3(x - 1)(x - 1) (x + 3)
Solve the equation: (x + 6) (x - 2) = 0-6, 2
12 - 5t = -33
x(x - 10) = -162, 8
A flag for a local organization is in the shape of a rectangle whose length is 15 inches less than twice its width. If the area of the flag is 500 square inches, find its dimensions.width: 20 in. ; length 25 in.
The base of a triangular sail is four times its height. If the area of the triangle is 162 square yards, find its base.36 yards
Find two consecutive integers whose product is 380.19 and 20
An architect's squaring instrument is in the shape of a right triangle. Find the length of the long leg of the right triangle if the hypotenuse is 8 centimeters longer than the long leg and the short leg is 8 centimeters shorter than the long leg.32 cm
The sum of two numbers is 17 and the sum of thier squares is 145. Find the numbers8 and 9
A deck for a home is in the shape of a triangle. The length of the base of the triangle is 9 feet longer than its altitude. If the area of the triangle is 68 square feet, find its length of the base.17 feet