Algebra II September 14, 2015

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Algebra II September 14, 2015
Bell Ringer 9/14/15
• A small furniture factory makes three types of
tables: coffee tables, dining tables, and end
tables. The factory needs to make 54 tables each
day. The number of dining tables made per day
should equal the number of coffee tables and end
tables combined. The number of coffee tables
made each day should be three more than the
number of end tables. Write and solve a system
of equations to find the number of tables of each
type the factory should make each day.
Review Qs
• Test topics include: lines (slope intercept form,
finding slope, and graphing), systems (terms
such as consistent and dependent, consistent
and independent, and inconsistent. Methodsgraphing, substitution, elimination, and
matrices), absolute value equations and
inequalities, graphing inequalities, and
matrices.
• I can stay after today and tomorrow
Bell Ringer 9/15/15
• Write the equation of the line that passes
through the points (2, 1) and (5, -2)?
Review Questions
• Test topics include: lines (slope intercept form,
finding slope, and graphing), systems (terms
such as consistent and dependent, consistent
and independent, and inconsistent. Methodsgraphing, substitution, elimination, and
matrices), absolute value equations and
inequalities, graphing inequalities, and
matrices.
Find the equation of this line
Find the slope
• Which is the equation of a line that passes
through (2, 5) and has slope -3?
• Use elimination to solve.
x+4y=22
-3x+7y=29
• Classify the following system
x+y=3
y = 3/2x – 2
What’s the solution to the system?
Graph the system of Inequalities
𝑥 + 4𝑦 < 8
2𝑥 − 5𝑦 ≤ 20
Matrices
3
2
5 4 1
• A=
B=
−6 12
2 3 −2
1. Dimensions of A
2. A+B
3. C+B
4. BA
5. AB
6. 𝐵
7. Inverse of C
2 52
C=
1 −7
Systems
x+2y=9
5x-3y=6
y=x+7
3x+4y=15
y=3x+2
y=-2x+22
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