vocab
A constant
A number alone , Changeable amount
2x+1=-5
x=-3
-3-3x=-4(2x+7)
one solution
9m - 3(m+6) = 2(m+1)
What is m= 5
3x - 5 = 4
x = 3
A variable
A letter that represents and unknown quantity
2x+2=x+4
x=2
-3-6(x-7)=42-6x
no solution
14 - (x+5) = 3(x+9) -10
what is x = -2
Anna volunteers at a pet shelter. They have cats and dogs. There are 36 pets in total at the shelter, and the ratio of dogs to cats is 4:5. How many cats are at the shelter?
20 cats (16 dogs)
The difference between an equation and an expression
equations have an equal sign and expressions do not
x-2-3x=-7-x
x= 5
3(x-7)=-21+3x
infinite solution
11(x - 1) = 7(x - 9 )
what is x = -13
2(x + 7) = 2x + 18
no solution
coefficient
a number used to multiply a variable
5x+3=24-2x
x=3
28+8x=8(x+3)+2
no solution
1/3(6x-9) = 2(x+3)
what is no solution
3(x - 2) = 5(x + 1)
x = -5.5
What types of solutions have we learned about?
No solution, one solution, infinite solution
-2(x-2)+3=3(-x+4)-3
x=2
7(1-2x)-3=4-2x
one solution
1/5(15x-25) = 1/3(15x-3)
what is x=1
Mrs. Housman had some cookies,c, for dessert. Mx. Nosan ate 3 times as many. All together they ate 36 cookies. How many cookies did each person eat?
Housman 9
Nosan 27