Vocab & Review
What is a variable?
2(n - 8)= 6
n = 11
How many solutions?
7x + 5 = 2 (4x + 3)
One solution
What's your solution if you have an equation with two coefficients that are the same on both sides of the equation but your constants are different?
No solution
What is a coefficient?
The number to the left or in front of the variable.
8n - 7 = -39
n = -4
How many solutions?
4x - 1 = 2(2x - 1)
No solution
If you have different coefficients and constants that are the same, your answer will have ____solution(s).
One
When you have a number outside of a pair of parenthesis and you must multiply that number to everything on the inside.
5m - (6m + 9) = 11
m= -20
How many solutions?
x - 2(x - 6) = -x + 12
Infinity solutions
When solving equations with variables on both sides, what should you do first if you don't need to distribute?
Combine the variables to one side. It does not matter which side.
If I have a solution of x=0, does that mean I have no solution?
NO, if x=0 that counts as one solution!
(3/4)x - 9 = 27
x = 48
How many solutions? If there is one, what does x equal?
2(x - 1) = 3(x - 4)
x = 10
For this equation, how would you get "x" by itself?
(2/3)x = -4
Multiply (2/3)x by the reciprocal 3/2.
Before 1991 when the Soviet Union collapsed, many countries other than Russia made up the Soviet Union. Name one other country that was part of the Soviet Union or USSR.
Armenia, Azerbaijan, Belarus, Estonia, Georgia, Kazakhstan, Kyrgyzstan, Latvia, Lithuania, Moldova, Tajikistan, Turkmenistan, Ukraine, and Uzbekistan
5(2x + 6) = -4(-5 - 2x) + 3x
x = 10
What is the possible result if you simplified
15x - 4 = 3(5x - 4) ?
How many solutions will there be?
-4 = -12
No solution
True or false: You do not have anything to distribute if there is just a negative/minus sign in front of the parenthesis.
Explain.
FALSE. Everything on the outside must be multiplied in, whether it's a negative number or just the negative sign.