Words, Words, Words
Two or more equations with the same solution
What are EQUIVALENT equations?
Using the properties of equality guarantees one thing.
What is "the solution won't change"?
5p - 1 = 2p + 20
What is p = 7?
12x = 4(x + 5)
What is x = 20/8 or 2.5?
3y − 5y + 10 = 36
What is y = -13?
If a = b, then ac = bc
What is the multiplication property of equality?
A number (constant) is a variable term. The explanation...represent 5 as a variable term
What is 5xo = 5 times 1 = 5
2/3 x + 1/2 = 5/6?
What is x = 1/2?
15x - 3(3x + 4) = 6
What is x = 3?
-9x + 21 +11x + 21 = 2
What is x = -20?
Variable terms with the same power
What are like terms?
The significance of x1/x1. Use the law of exponents when dividing.
What is x1/x1 = x1-1 = x0
but
x1/x1 = 1
-9 x + 8 = -55
-7 x - 2 = 12
What is x = 7 and -2?
2(x − 4) = 4(2x + 1)
What is x = -2?
6n + 12 - 8n = 22
What is n = -5?
You begin with 1/3. Then you have 3/1.
What is the reciprocal?
Equivalent equations are essentially the same. Transform 2x - 20 = -24 into 6x + 5 = -7
What is multiply by 3 and add 65?
The solution for the equation x + 1 = x + 2.
-1, 1/2, all real numbers, no solution
What is no solution?
3(x + 2) − 2(x + 1) = 8
What is x = 4?
-2x + 15 + 4x + 15 = –6
What is x = -18?
The "thing" that separates the two sides of an equation.
What is the equals sign?
Equations in more than one variable...
What are literal equations?
x/3 + (x+1)/2 = x
What is x = 3?
−2(1 − 4x) = 3x + 8
What is x =2?
2m− (m+ 1) = 0
What is m = 1?