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Alegebra I Chapter 6 Quiz-Factoring

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Find the greatest common factor.
48q2r2, 12q5r5, 6r3
a.
96q7r10
d.
6r2
b.
96q5r5
e.
48q5r5
c.
6q5r5
 

 2. 

Factor: mc002-1.jpg.
a.
mc002-2.jpg
d.
mc002-5.jpg
b.
mc002-3.jpg
e.
mc002-6.jpg
c.
mc002-4.jpg
 

 3. 

Factor: mc003-1.jpg.
a.
mc003-2.jpg
d.
mc003-5.jpg
b.
mc003-3.jpg
e.
mc003-6.jpg
c.
mc003-4.jpg
 

 4. 

Factor by the method of using trial factors.
40w2 + 49wx + 15x2
a.
40w2 + x(49w + 15x)
d.
(8w + 5x)(5w + 3x)
b.
w(40w + 49x) + 15x2
e.
(w + 5x)(40w + 3x)
c.
(8w + 5x)(5w + 3x)
 

 5. 


54.
Factor the following expression:
     mc005-1.jpg
a.
mc005-2.jpg
d.
mc005-5.jpg
b.
mc005-3.jpg
e.
Nonfactorable
c.
mc005-4.jpg
 

 6. 

Sports. The height, h, in feet, that an object will attain (neglecting air resistance) in t seconds is given by mc006-1.jpg, where v is the initial velocity of the object in feet per second. A golf ball is thrown onto a cement surface and rebounds straight up. The initial velocity of the rebound is 77 ft/s. How many seconds later will the golf ball return to the ground?
a.
8.81 s
d.
5.81 s
b.
4.81 s
e.
3.81 s
c.
6.81 s
 

 7. 

Sum of Natural Numbers. The formula mc007-1.jpg gives the sum, S, of the first n natural numbers. How many consecutive natural numbers beginning with 1 will give a sum of 3?
a.
6
d.
3
b.
0
e.
2
c.
4
 

 8. 

Geometry. The length of the base of a triangle is 2 times the height. The area of the triangle is 16 m2. Find the base and height of the triangle.
a.
base: 4 m; height: 2 m
d.
base: 8 m; height: 4 m
b.
base: 4 m; height: 12 m
e.
base: mc008-1.jpg m; height: mc008-2.jpg m
c.
base: 8 m; height: 24 m
 

 9. 

In the following question, ax2 + bx + c = 0, where a > 0, is a quadratic equation that can be solved by factoring and then using the Principle of Zero Products.

If zero is one solution of ax2 + bx + c = 0, is c greater than, less than, or equal to 0?
a.
greater than
c.
less than
b.
less than
 

 10. 

Factor the following expression:
     mc010-1.jpg
a.
mc010-2.jpg
d.
mc010-5.jpg
b.
mc010-3.jpg
e.
Nonfactorable
c.
mc010-4.jpg
 



 
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