NAME:_
PERIOD:_
What is your system?
Directions: You must solve four systems. At least one system solved must be a or e. At least
one must be b or d. At least one must be c or f. You must use at least each method once
(substitution, elimination, graphing
Chapter 3 Vocabulary
A. Arithmetic Sequence
1.
_An equation that graphs a straight continuous line
2.
_In the equation 10 = 4y + 5x + 3, 10 and 3 are
3.
_In the equation 10 = 4y + 5x + 3, 5 and 4 are
4.
_5 and 5 are
5.
_Flip the fraction
B. Coefficients
C
Rachel has 3 hours to work on her homework tonight. She wants to spend more time
working on math than on chemistry, and she must spend at least a half hour working
on chemistry
Step 1: Let x represent time in hours spent on math, and y represent time in h
Lesson 6.5 Systems of Inequalities
Name: _
Period: _
1. Solve each inequality for y.
a. 4x 5y 20
Date: _
Due Date: _
b. 3 + 2(x 4y) > 12
2. Graph each linear inequality on the coordinate plane.
1
a. y > x 3
b. 3x 5y 0
3
c. 4y 2x -8
3. Graph the feasible r
Chapter 3 Pretest
Name
1.
Period
Date
Consider the arithmetic sequence defined by the formula
u0 = 4.5
un = un1 1.7 where n 1
a.
b.
(3 points) Find the value of u32.
c.
2.
(3 points) Write an explicit formula for the sequence.
(3 points) Find the value of
Kuta Software - Infinite Algebra 2
Name_
Solving Systems of Three Equations w/ Substitution
Date_ Period_
Solve each system by substitution.
1) x = 4 y 11
3 x + 4z = 7
y = 5 x + 2z + 25
2) x = 4 y + 4z + 4
z = 5 x 25
2 x 5z = 17
3) z = 4 x + 4 y + 13
x
Kuta Software - Infinite Algebra 2
Name_
Solving Systems of Three Equations w/ Elimination
Date_ Period_
Solve each system by elimination.
1) x 5 y 5z = 2
4 x 5 y + 4z = 19
x + 5 y z = 20
2) 4 x 5 y z = 18
2 x 5 y 2z = 12
2 x + 5 y + 2z = 4
3) x 5 y + z
Kuta Software - Infinite Algebra 2
Name_
Points in Three Dimensions
Date_ Period_
Describe the location of each point in relation to the origin.
1) (2, 4, 3)
3) (1, 1, 2)
5) (2, 4, 4)
Write the coordinates of each point.
2) (0, 2, 4)
4) (1, 4, 1)
6) (1, 1
Name: _
Stained Glass Window Project
Due Date: _
Directions:
1. Graph the following 11 linear equations on the graph paper provided, using a ruler. Be
sure to show your work as to how you changed the form of each equation, in order to graph
them. If you n