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Algebra 1 Chapter 9 Practice Test


 1. 
Simplify the expression mc001-1.jpg. All variables represent nonnegative numbers.
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 
Simplify mc002-1.jpg. All variables represent nonnegative numbers.
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 
What is the sum of mc003-1.jpg and mc003-2.jpg?
a.
mc003-3.jpg
c.
mc003-4.jpg
b.
29
d.
mc003-5.jpg
 
 
Match each solution with the equation it approximately solves.

grp001-1.jpg
a.
grp001-2.jpg
d.
grp001-5.jpg
b.
grp001-3.jpg
e.
grp001-6.jpg
c.
grp001-4.jpg
f.
grp001-7.jpg
 

 4. 

 ma004-1.jpg
 

 5. 

 ma005-1.jpg
 

 6. 

 ma006-1.jpg
 

 7. 

 ma007-1.jpg
 

 8. 
Find the zeros of mc008-1.jpg by using a graph.
a.
x = 1 or –3
c.
x = 1 or 3
b.
x = –1 or 3
d.
x = –1 or –3
 

 9. 
Solve the equation mc009-1.jpg using a graph.
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 
Solve mc010-1.jpg.
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 
Solve 25x2 – 64 = 0.
a.
±mc011-1.jpg
c.
±mc011-3.jpg
b.
±mc011-2.jpg
d.
No real solution
 

 12. 
Complete the square for  mc012-1.jpg. Then write the resulting expression as a binomial squared.
a.
mc012-2.jpg; mc012-3.jpgmc012-4.jpgmc012-5.jpg
c.
mc012-11.jpgmc012-12.jpg; mc012-13.jpgmc012-14.jpgmc012-15.jpg
b.
mc012-6.jpgmc012-7.jpg; mc012-8.jpgmc012-9.jpgmc012-10.jpg
d.
mc012-16.jpg; mc012-17.jpgmc012-18.jpgmc012-19.jpg
 

 13. 
Find the roots of mc013-1.jpg.
a.
7 and 6
c.
6 and –3
b.
6 and –4
d.
7 and –3
 

 14. 
A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 102 square feet, and it should be 14 feet longer than it is wide. What dimensions should she use for the vegetable garden? Round to the nearest tenth of a foot, if necessary.
a.
12.3 feet by 26.3 feet
c.
10.1 feet by 24.1 feet
b.
3.1 feet by 17.1 feet
d.
5.3 feet by 19.3 feet
 

 15. 
Find the number and type of solutions for mc015-1.jpg.
a.
Cannot determine without graphing.
b.
The equation has no real solutions.
c.
The equation has two real solutions.
d.
The equation has one real solution.
 

 16. 
Solve mc016-1.jpg.
a.
x = mc016-2.jpg or x = mc016-3.jpg
c.
x = mc016-6.jpg or x = mc016-7.jpg
b.
x = mc016-4.jpg or x = mc016-5.jpg
d.
x = mc016-8.jpg or x = mc016-9.jpg
 

 17. 
Find the zeros of the function mc017-1.jpg.
a.
mc017-2.jpg and mc017-3.jpg
c.
mc017-6.jpg and mc017-7.jpg
b.
mc017-4.jpg and mc017-5.jpg
d.
mc017-8.jpg and mc017-9.jpg
 

 18. 
Find the root(s) of the equation mc018-1.jpg.
a.
mc018-2.jpg only
c.
mc018-4.jpg or mc018-5.jpg
b.
mc018-3.jpg only
d.
mc018-6.jpg or mc018-7.jpg
 

 19. 
Solve mc019-1.jpg.
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 
Identify the quadratic equations below that have no real solutions.
 a.
mr020-11.jpg
 b.
mr020-12.jpg
 c.
mr020-13.jpg
 d.
mr020-14.jpg
 e.
mr020-15.jpg
 

 21. 
Solve the system formed by the equations below.
mc021-1.jpg
a.
mc021-2.jpg
c.
mc021-5.jpg
b.
mc021-3.jpg and mc021-4.jpg
d.
(0, mc021-6.jpg)
 

 22. 
Solve the system formed by the equations mc022-1.jpg and mc022-2.jpg . If necessary, round answers to the nearest hundredth.
a.
(–5, –12) and (1, 0)
c.
(–3, –8) and (–4, –10)
b.
(3, 4) and (4, 6)
d.
(–7.7, –17.4) and (–1.3, –4.6)
 

 23. 
The sum of the areas of two square lots is 832 square feet and the difference between their areas is 320 square feet. Find the length of the side of each lot.

Part A: Write a system of equations to model the problem. Describe the method you would use to solve the system.

Part B: Write all the ordered pairs that are solutions for the system. Are all the solutions reasonable in this problem? Explain.
 



 
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