Factoring
what is the GCF of: 14n^2+10n
2n
What is the main difference between solving an equation and solving an absolute value equation?
Equations have only 1solution for the variable. Absolute value equations have 2 solutions for the variable.
________________ is a solution derived from an original equation that is not a solution to the original equation.
Extraneous.
Domain refers to which axis? Range refers to which axis?
Domain- X
Range- Y
What school districts merged to create the Spring-Ford Area School District?
Spring City & Royersford
Name the three types of factoring methods
Factor by grouping
Factor by GCF
Difference of Perfect Squares
How many possible solutions COULD an absolute value inequality (or equation) have?
TWO.
Can the solution of an inequality be extraneous?
No.
What is the mathematical symbol for "All real numbers"
(See Front Board)
What is the nickname of the current Spring-Ford High School Mascot?
Rowdy
Identify the type of Factoring, then factor completely.
4x^2-25
Difference of Perfect Squares
(2x - 5)(2x + 5)
What is the extraneous solution of l3x+2l=4x+5
x=-3 is extraneous and x=-1 is a solution
Find & graph the solutions. Show all work.
2lx+9l+3>7
x>-7,x<-11
When solving absolute value inequalities, the type of inequality determines HOW to solve. How do you solve an inequality that has ">" vs. "<"?
> refers to greatOR which suggests there are two separate inequalities and the solutions do NOT overlap on a number line.
<refers to lessTHAND which suggests there is 1 compound inequality and the solutions are included on the same connected numberline.
In what current school district building were the first high school classes held?
8th Grade Center
Identify the Factoring Method(s) + Factor Completely.
30t^4+60t^3-10t^2-20t
GCF + Factor by Grouping: 5t(3t^2 - 1)(2t + 4)
What are the TWO possible ways to remove this fraction to isolate the variable? SHOW THE TWO WAYS.
-4= -|1/2x-2|
multiply everything by 2 OR
multiply everything by 2/1 (the reciprocal of 1/2)
Solve & Graph on a number line.
-8x > 32
x < -4, open circle at -4, pointing left
Describe the range of any absolute value function.
y> or y< "k"
How many municipalities make up the Spring-Ford Area School District? Name them.
4: Spring City, Royersford, Limerick & Collegeville
Factor Completely.
10a^3b^4-6a^2b^6
2a^2b^4(5a-3b^2)
Solve. Show all work.
2l100x+4l+6=6x+4
x=-5/97 (extraneous),x=-3/103
Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?
4.5x ≤ 18
x ≤ 4
Graph the following transformation on your whiteboard.
y>-5/2 |x-4| -6
You must also write out the following:
Vertex
Transformation from parent function
Domain
Range
Vertex: (4,-6)
Domain: all real numbers
Range: y>-6
Reflected over the X axis
Stretch by a factor of 5/2
Right 4
down 6
What is Mr. Johnson's First Name?
SIKE!