Factoring
This method of factoring polynomial expressions involves grouping like terms to find a common factor.
What is factor by grouping?
Identify the independent and dependent variables:
amount of calories burned, c, and the number of minutes, m, exercising
Calories = dependent
Minutes = independent
Simplify: -3x + 12 - 16 + 7x
4x - 4
Employees must work at least 20 years in a company to receive full benefits upon retirement. Write an inequality to describe this situation.
What is x ≥ 20?
What is the domain of a function?
All possible x-values
This mnemonic stands for the four steps to multiply two binomials: First, Outer, Inner, Last.
What is FOIL?
Identify the independent and dependent variables:
tickets, t, sold for a race and the amount of money, m, collected
Tickets = independent
Money = dependent
Simplify: -15m - 26 + 12x - 12 + 8m
12x - 7m - 38
Your average in Algebra must be a 92.5 or greater to receive an A. Write an inequality to model this situation.
What is x ≥ 92.5?
What is the range of a function?
All possible y-values
Factor Completely using the GCF: 8c^2 + 12c
4c (2c + 3)
Identify the independent and dependent variables:
length of a story in pages, p, and the number of words, w, in the story
Words = independent
Length = dependent
Simplify: 12p + 9p - 6p + 14 - 26 + 2p
17p - 12
True or False: "Inequalities involvoing absolute values are solved by considering both positive and negative solutions."
What is TRUE?
Find the domain of the following set:
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
D: {-5, -1, 0, 2}
Factor by Grouping: n^3 - 2n^2 + 5n - 10
(n - 2 ) ( n^2 + 5 )
Identify the independent and dependent variables:
amount of time, t, to finish a race and the number of laps, l, around a track
Time = dependent
Laps = independent
Simplify: -8g + 12 - 15g - 2g - 17
-25g - 5
Solve: m + 5 > -3
What is m > -8
Find the range of the following set:
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
R:{0, 1, 2, 3}
Factor by Grouping x^3 - 2x^2 + 5x - 10
(x - 2) (x^2 + 5)
the number of cupcakes you want to make, c, and the amount of frosting, f, that you buy
Cupcakes = independent
Frosting = dependent
Simplify. -8x + 12 -8x + 15 + 15x - 22 - x
-2x - 5
Solve: t + 3/8 ≤ -1/8
What is t ≤ -1/2
Does the following represent a function? Why or why not?
{(2, 1) (-1, 0) (-1, 3) (0, 2) (-5, 1)}
No, -1 has two different outputs.