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Algebra 2 - Chapter 3 Practice Test



 1. 

Write an inequality to represent the graph.

mc001-1.jpg
a.
y > –2x – 3
b.
y > –3x – 2
c.
y ³ –3x – 2
d.
y < –3x – 2
 

 2. 

Simplify by combining like terms..  mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
 

 3. 

What is the x value for the solution to the following system?  mc003-1.jpg
a.
–3
b.
0
c.
–1
d.
3
 

 4. 

Solve the system by graphing:  mc004-1.jpg
a.
mc004-2.jpg
(4, 0)
c.
mc004-4.jpg
(4, 3)
b.
mc004-3.jpg
infinite solutions
d.
mc004-5.jpg
no solutions
 

 5. 

What is the z value for the solution to the following system? mc005-1.jpg
a.
–6
b.
5
c.
2
d.
6
 

 6. 

Solve the system:   mc006-1.jpg
a.
(2, 1, –2)
b.
(–2, 1, 2)
c.
(2, –1, 2)
d.
no solution
 

 7. 

A rental car agency charges a flat fee of $29.00 plus $1.25 per day to rent a certain car. Another agency charges a fee of $20.25 plus $3.00 per day to rent the same car.
a.Write a system of equations to represent the cost c for renting a car at each agency for d days.
b.Find the number of days for which the costs are the same. Round your answer to the nearest whole day.
a.
a. mc007-1.jpg
b. 5
c.
a. mc007-3.jpg
b. 8
b.
a. mc007-2.jpg
b. 5
d.
a. mc007-4.jpg
b. 8
 

 8. 

Solve the inequality. Graph the solution:  mc008-1.jpg
a.
mc008-2.jpg
mc008-3.jpg
c.
mc008-6.jpg
mc008-7.jpg
b.
mc008-4.jpg
mc008-5.jpg
d.
mc008-8.jpg
mc008-9.jpg
 

 9. 

Solve the system of inequalities by graphing.  mc009-1.jpg
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 

Solve:   –1 + 12b ³ 3(4b – 2)
a.
b £ mc010-1.jpg
c.
b ³ mc010-2.jpg
b.
no solutions
d.
all real numbers
 

 11. 

What is the y value for the solution to the following system? mc011-1.jpg
a.
–2
b.
1
c.
0
d.
–1
 

 12. 

Solve the inequality. Graph the solution:  mc012-1.jpg
a.
–6 > x > 1
mc012-2.jpg
c.
–24 < x < 4
mc012-5.jpg
b.
mc012-3.jpg
mc012-4.jpg
d.
–6 < x < 1
mc012-6.jpg
 

 13. 

Solve the system of inequalities by graphing.  mc013-1.jpg
a.
mc013-2.jpg
c.
mc013-4.jpg
b.
mc013-3.jpg
d.
mc013-5.jpg
 

 14. 

Solve the system: mc014-1.jpg
a.
infinite solutions
c.
(3, 7)
b.
(–3, –7)
d.
no solutions
 

 15. 

Solve the system by the method of substitution.   mc015-1.jpg
a.
(5, –1)
b.
(–5, 1)
c.
(1, –5)
d.
(–1, 5)
 

 16. 

Solve:   mc016-1.jpg
a.
mc016-2.jpg
b.
mc016-3.jpg
c.
mc016-4.jpg
d.
mc016-5.jpg
 

 17. 

Solve:   mc017-1.jpg
a.
x = mc017-2.jpg or x = mc017-3.jpg
c.
x = mc017-6.jpg or x = mc017-7.jpg
b.
x = mc017-4.jpg or x = mc017-5.jpg
d.
x = mc017-8.jpg or x = mc017-9.jpg
 

 18. 

Which coordinate pair is a solution of mc018-1.jpg.
a.
(-5, 1)
b.
(3, -4)
c.
(2, 5)
d.
(0, -3)
 

 19. 

How many solutions does the system have?   mc019-1.jpg.
a.
This system has two solutions
c.
This system has infinitely many solutions.
b.
This sytem has one solution.
d.
This system has no solutions.
 

 20. 

At the local pet store, zebra fish cost $5 each and neon tetras cost $4 each. If Ernesto bought 10 fish for a total cost of $42, not including tax, how many zebra fish did he buy?
a.
6 zebra fish
c.
5 zebra fish
b.
8 zebra fish
d.
2 zebra fish
 

 21. 

What is the y value for the solution to the following system?  mc021-1.jpg
a.
mc021-18.jpg
b.
5
c.
-5
d.
mc021-19.jpg
 

 22. 

Evaluate the expression for the given value of the variable(s).  
mc022-1.jpg; x = –3
a.
46
b.
10
c.
–8
d.
–9
 



 
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