ALGEBRA 0310
NAME: __________________________________________
Equations/Problem Solving with Factoring
Date: __________________Period: __________________
#1 – 6: Solve the following Quadratic Equations by Factoring.
1) ( x  2)(2 x  5)  0
2) (3n  2)(4n  1)  0
3) m(m  3)  0
4) (4 x  3)( x  9)  0
5) x2  9 x  18  0
6) 3x 2  8x  16
#7 – 12: Write an equation and solve.
7) A rectangular rug is 4 ft longer than it is
8) If the hypotenuse of a right triangle is 13
wide. If its area is 45 ft , what is its length
and width.
cm. and one leg is 12 cm. Find the length of
the other leg.
9) The longer leg of a right triangle is 7 cm
10) Find the lengths of the sides of the right
triangle if the hypotenuse = 2x+1, the
shorter leg = x and the longer leg = x+7.
2
more than the shorter leg. The length of the
hypotenuse is 3 cm more than twice the
length of the shorter leg. Find the length of
the hypotenuse.
11) A 13 ft. ladder is leaning against a wall.
12) From a bike shop, Rana pedals due
The distance from the top of the ladder to
the bottom of the wall is 7 ft more than the
distance from the bottom of the ladder to the
wall. Find the distance from the bottom of
the ladder to the wall.
north while Yasmeen rides due west. When
Yasmeen is 4 mi from the shop, the distance
between her and Rana is two miles more
than Rana’s distance from the bike shop.
Find the distance between Rana and
Yasmeen.