Multi-Step Equations
3(x + 3) = 5
-4/3
2x+6=2x+6
infinitely many solutions
5h + 2 + 2h = 23
h = 3
4x + 9 = 33
x = 6
Explain how you know an equation has infinitely many solutions.
What is when both sides are equal, when you can use any value for x and the equations balance
3x+4x+5=2x+10
x =1
2x-6=2x+6
No solution
3b + b - 8 = 4
b = 3
x + 3x = -8
x = -2
What makes an equation have no solution?
What is when you have same number of variables and different number of constants
3(x+2)+2=4x+2
x = 6
3(x-4)=3x+4
No solution
3a + 12 - 6a = -9
a = 7
4(y - 2) + y = -13
y = -1
What are inverse operations?
What is using opposite operations to work backwards to solve equations
x + x + 3x+5=12
x=7/5
3x+2x+4=4x-1
x=-5 One solution
-6 = -3y + 4 + 5y
y = -5
-6(m + 1) + 18 = 24
m = -2
What is a constant?
What is a number that is by itself
15x-15x+3x=2x+10
x = 10
3x+6y=3/5(5x+10y)
Infinitely Many Solutions
78 = 3c + 12 - c + 4
c = 31
7k - 8 + 2(k + 12) = 52
k = 4
What is the number in front of a variable called?
What is a coefficient