Name __________________________________________________Date __________Hour_____________
Chapter 3 Review
Algebra II
Choose the letter of the term that best matches each phrase.
1. _______
A system of equations that has an infinite number of solutions
A. Consistent
2. _______
The region of a graph where every constraint is met
B. Dependent
3. _______
A method of solving equations in which one equation is solved C. Elimination
4. _______
A system of equations that has at least one solution
D. Feasible Region
5. _______
A method of solving equations in which one variable is
E. Inconsistent
eliminated when the two equations are combined
F. Independent
6. _______
the solution of a system of equation in three variables
G. Ordered Triple
7. _______
A system of equations that has no solution
H. Substitution
8. _______
A system of equations that has exactly one solution
I. System of
9. _______
Two or more equations with the same variables
Equations
10. ______
The points where the maximum or minimum values will occur J. Vertices
Complete each section. Show ALL work.
Solve each system of equations by graphing.
11.
3x + 2y = 12 _________
x – 2y = 4
12.
8x – 10y = 7 _________
4x – 5y = 7
Name __________________________________________________Date __________Hour_____________
13.
y – 2x = 8
y=½x–4
__________
Solve each system of equations by substitution.
14.
x+y=5
2x – y = 4
____________
15.
x+y=4
x – y = 8.5
__________
17.
3x – 5y = -13 ___________
4x + 2y = 0
Solve each system of equations by elimination.
16.
-2x – 6y = 0 ____________
3x + 11y = 4
Solve each system of equations by the method of your choice.
18.
20y + 13x = 10
0.65x + y = 0.5
_______________
19.
2x – 3y = 9 _______________
4x + 2y = -22
20.
-7x + 6y = 42
3x + 4y = 28
________________
21.
2x + 6y = 6
⅓x+y=1
________________
Name __________________________________________________Date __________Hour_____________
Solve each system of inequalities by graphing.
22.
y<4
y > -3
24.
y>x+4
-2y < x – 3
23.
|x + 4| < 3
2y < x + 4
Graph each system of inequalities and name the coordinates of the vertices. Then find the maximum and
minimum value of the given function.
25.
y<5
y > -3
4x + y < 5
-2x + y < 5
________________
________________
f(x,y) = 4x – 3y
Name __________________________________________________Date __________Hour_____________
Solve each system of equations with 3 variables.
26.
x + 4y – z = 6
3x + 2y + 3z = 16
2x – y + z = 3
____________________
28.
e+f=4
2d + 4e – f = -3
3e = -3
___________________
27.
2a + b – c = 5
a – b + 3c = 9
3a – 6c = 6
________________
For questions 29 & 30, use the following information.
Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315.
This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6
and the shorts cost $18.
29.
Write a system of two equations that represents the number of pairs of socks and shorts bought each
year.
_____________________
30.
How many pairs of socks and shorts did the team buy each year?
_____________________
_____________________