Vocabulary
A letter used to represent an unknown number
Variable
Eight more than four times a number is 28
4x + 8 = 28
3a - 5 = 4
a=3
m/5 + 4 = 12
m=40
z/6 - 8 = 2
z=60
What is the Goal when solving equations?
Isolate the variable.
u increased by 16 is 257
u + 16 = 257
0.5p - 3.45 = -1.2
p= 4.5
y/8 + 11 = 13
y=16
y/9 - 15 = -12
y=27
What are inverse opperations?
Addition = subtraction
multiplication=division
the product of m and 200, plus 375 equals 205
200m + 375 = 205
4m + 6.25 =44.25
m= 9.50
k/8 + 21 = 97
k=608
z/2 - 14 = -4
z=20
A number right in front of a variable
Coefficient
294 is equal to 366 subtracted from the product of 14 and y
294 = 14y - 366
21.61 - 1.29d = 10
d= 9
g/11 + 37 = 128
g=1188
y/9 - 18 = 52
y=630
Terms that have the same variable are called what?
Like terms
The height of a certain banner is equal to one third of its length. If the banner is 5 feet tall, write an equation that can be used to find the banner's length, L, in feet.
5= 1/3 L
1/4b + 2 = 18
b= 64
w/317 + 596 = 1,639
w= 330,631
d/10 - 83 = 64
d=1470