9-8 Completing the Square
To complete the square
_ .
Example 1: Complete the square to form a perfect square trinomial.
A. x2 + 12x + _
B. x2 5x + _
C. 8x + x2 + _
Solving a Quadratic by Completing the Square
1.
2.
3.
4.
5.
6.
Get the _ alone on one side
7-1 Integer Exponents
Algebra I
Anything to the ZERO POWER IS _.
_ NEGATIVE EXPONENTS.
_
Simplify
A.
4-3
C.
(-5)-4
B.
70
D.
-5-4
Evaluate each expression for the given value(s) of the variable(s).
A.
x-2 for x = 4
B.
-2a0b-4 for a = 5 and b = -3
Simplify.
6-1 Solving Systems by Graphing
A system of _ is a set of two or more linear
equations containing two or more variables.
A _ of a system of linear equations with two variables is an
ordered pair that satisfies each equation in the system.
If an ordered pa
Chapter 11 Section 1
Geometric Sequences
Terms
Geometric sequence: _
_
Common ratio: _
Example 1
Find the next 3 terms in the geometric sequence.
A. 1, 3, 9, 27,
B. -16, 4, -1, ,
Formula For a Geometric Sequence
Example 2
A. The first term of a geometri
Name Date Class
LESSON Practice A
11-1 Geometric Sequences
Find the common ratio of each geometric sequence. Then find the
next three terms in each geometric sequence.
1. 1,4,16,64, 2.10,100,1000,10,000,...
common ratio: common ratio:
3. 128, 64,
7-1 Integer Exponents
Algebra I
_
Ex 1: One cup is 2-4 gallons. Simplify this expression.
Ex 2: Simplify.
A.
4-3
C.
(-5)-4
B.
70
D.
-5-4
Ex 3: Evaluate each expression for the given value(s) of the variable(s).
A.
x-2 for x = 4
B.
-2a0b-4 for a = 5 and b
9-9: The Quadratic Formula and the Discriminant
The Quadratic Formula:
Discriminant of Quadratic Equation ax 2
Equation
x2
4x 3 0
x2
bx c
0:
2x 1 0
x2
2x 2
0
Discriminant
Graph of
Related
Function
Number of
Solutions
Example 1: Solve by using the quadrati
6-1 Solving Systems by Graphing
*Graph both lines.
*Determine the point where they cross.
Ex 1] Tell whether the ordered pair is a solution of the given system.
x 3 y 4
(-2,2)
x y 2
Ex 2] Solve each system by graphing.
y x 3
y x 1
Ex 3] Wes and Jennie