Equation Vocabulary
What is an equation?
A statement that says two expressions are equal
x+7=15
x=8
2x+5=17
x=6
3x+2x-5=20
x=5
5x+3=3x+11
x=4
What are inverse operations?
Operations that undo each other.
5x=45
x=9
4x-7=21
x=7
3(x+2)-4=11
x=3
7y-8=3y+20
y=7
What does isolating a variable mean?
Get the variable alone, or away from numbers.
x-(-12)=7
x=-5
-3x+8=23
x=-5
2(3x-4)+5x=25
x=3
3(2p-5)=4p+7
p=11
What does distribute mean?
Multiply the outside term inside the parenthesis
-2.5x=15
x=-6
2.5x-6=-16
x=-4
x=-4
2(3n+4)-5n=4(n-1)-3(n-4)
Infinitely many solutions
What are two special cases when solving linear equations?
No solution and infinitely many solutions
3/4x=-18
x=-24
3/4x+5=-7
x=-16
1/2(6x-8)+2x-3=18
x=5
4m+9=2(-5+2m)