Review: Solving Linear and Quadratic Eqns., Complex Numbers

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
1st: Solve the inequality. Write the solution as
an interval and graph your solution.
2x2 + x ≥ 15
All problems were odd except #70
70) (-2, 3]
and graph the interval
PreCalc
Sections 2.1-2.6

Section 2.1 – Solving Linear Equations
1)
3
4
1
 
2
x  3x x x  3
2)
2
3 2
x2

Section 2.2 – Solving Equations Graphically
1) Find the point(s) of intersection of the
following equations:
3x + 5y = -7
and
- x – 2y = 3
2) Determine the x- and y- intercepts of the
following equation:
x – 5y = 20

Section 2.3 – Complex Numbers
1) Simplify and write in standard form:
5 

 4 5   16

2) Simplify and write in standard form: 3  2i
5i
3) Simplify:
i
935

Section 2.4 – Solving Quadratic Equations
Solve each equation using one of each of the
methods – factoring, extracting roots,
completing the square, and the quadratic
formula
2
2
1. x  3x  54
2. x  1  24
3. x 2  4 x  10  0 4. 2  3x  2 x 2  0

Section 2.5 – Solving Other Types of Equations
Solve:
1) 3x3  26 x 2  16 x  0
3) x  5  10
2)
x4 3

Section 2.6 – Solving Inequalities
Solve. Write your solution as an interval.
Graph your solution.
1)
3x  8
4
x 3
3)  2   x  7  10
2)
4)
x  2 1
8x  3  6 x  15
1) Brenda's school is selling tickets to a spring musical. On the
first day of ticket sales the school sold 3 senior citizen tickets
and 9 child tickets for a total of $75. The school took in $67 on
the second day by selling 8 senior citizen tickets and 5 child
tickets. What is the price each of one senior citizen ticket and
one child ticket?
2) The senior classes at High School A and High School B
planned separate trips to New York City. The senior class at High
School A rented and filled 1 van and 6 buses with 372 students.
High School B rented and filled 4 vans and 12 buses with 780
students. Each van and each bus carried the same number of
students. How many students can a van carry? How many

Page 246 # 1 – 10, 15 – 26
(All answers are in the back of the book)
If you know you’re struggling, please get extra
help!
Also, your book has a ton of review problems on
pages 242-245. Pick a few and try them. Odd
answers are in the back. The word problems are
attached online with the key if you need more
help there.
TEST is next class!
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