Chapter 2 Flashcards
Do not divide each side of an equation by a ____ when using the MPOE as it may result in an invalid solution.
Variable
3x=15
Do divide by the 3 NOT the x
When using the MPOE it is usually easier to______on each side if the coefficient of the variable is a fraction.
Multiply
3/4x=12
DO multiply both sides by 4/3
When using the MPOE it is usually easier to______on each side if the coefficient of the variable is an integer.
Divide
-5x=-10
DO divide by -5
When using the MPOE and the numerator of a fraction is a variable just replace it with ____
1
x/4=7 is also 1/4 (x)=7
When dealing with a negative variable replace it with ____ then multiply the it and the otherside by -1
-1* (place non-negative variable here)
For example
- k=7 becomes
- 1*k =7
(-1*-1)*k = 7(-1)
k=-7
Whenever there are parentheses w/ unlike terms inside they cannot be combined.
Use the number ____ to remove the parentheses.
1
8a - (3+2a)
Distribute
8a - 1(3+2a)
Remove Parentheses
8a - 3 - 2a
An equation that has exactly one solution is a called______
A conditional equation
Whenever the variable_____ in a true equation the Solution set is considered all real numberes.
It is indicated as _____.
Disappears
{all real #’s}
When simplifying an equation w/ fractions always multiply ____ ____ ____ ___ ____ by the LCD.
both sides of the equation
An equation w/ both sides exactly the same is called an _______.
The solution to this type of problem is all real numbers and is indicated as _____.
identity
{all real #’s}
What am I?
* One soulution
*{a number}
*x= a number
A Conditional equation
What am I?
* Infinite solutions
*{all real #s}
*a true statement with no variable
such as,
0=0
An Identity (equation)
What am I?
* no soultions
*∅ (null/empty set)
*a false statement with no variable
such as
3=4
A Contradiction
When indicating an ∅ (null/empty set) You never write______.
You simply write_____
{∅}
∅
When solving an applied equation the steps are
RAWSAC
What does the stand for?
Read
Assign the variable
Write the equation
Solve
Articulate the answer
Check
An angle can be measured by a unit called a _____
degree °
A degree is _____ of a complete rotation.
1
-
360°
Two angles whose sum is said to be 90° are called _____, or ______ of each other
Complementary
Complements
An angle that measures 90° is a ______ _____
Right angle
Two angles whose sum is said to be 180° are called _____, or ______ of each other
Supplementary
Supplements
Two integers that differ by one are called ______
Consecutive integers
If
x= the first integer…
What formula is used to solve consecutive integer problems with two consecutive integers?
x+1
1,2,3,4…
If
x= the first integer
What formula is used to solve consecutive integer problems with two consecutive even & odd integers.
x+2
2,4,6,8…
1,3,5,7…
An equation in which
VARIABLES
are used to describe a relationship.
Formula
