Solving Algebraic Equations
b+7=10
3
k+12=23
11
Write a linear equation and identify the independent and dependent variables.
Hannah took p minutes to jog around a park. Sofia took 12 minutes longer. If Sophia took t minutes to jog around the park express t in terms of p.
t=p+12
IV=P
DV=T
Does this sign have an open or closed circle?
<
open
Does this sign have an open or closed circle?
>
open
17=e+9
8
42=3p
14
Write a linear equation and identify the independent and dependent variables.
A bouquet of roses costs $30. A bouquet of tulips costs m dollars less. If the cost of one bouquet of tulips is n dollars, express n in terms of m.
n=30-m
IV:M
DV:N
k is less than 12
k<12
d is greater than or equal to 17.
w>_17
8t=56
7
x-8=17
25
Write a linear equation and identify the independent and dependent variables.
Nathan has 7 boxes of marbles. Each box contains b marbles. If he has c marbles altogether, express c in terms of b.
c=7b
IV: V
DV:C
A sack of potatoes weighs at least 20 pounds. Write an inequality to represent the sack of potatoes.
x>_20
The maximum number of shirts Amanda can buy is 9. Write an inequality to represent the number of shirts that she can buy.
x<_9
4w=6.8
1.7
r/6=11
66
Write a linear equation and identify the independent and dependent variables.
A motel charges Mr. Kim x dollars for his stay. Mr. Kim stayed at the motel for 12 nights. If the rate per night for a room is y dollars, express y in terms of x.
y=x/12
IV:X
DV: Y
A bag of tomatoes weighs more than 5 pounds. Write an inequality to express the tomatoes.
x>5
A squirrel needs to be stored below 20 degrees. Write an inequality to express the squirrel.
x<20
4/3y=36
27
17+2.5=10p
1.95
Write a linear equation and identify the independent and dependent variables.
The length of a house is 3 times its width. The width of the house is f yards. If the perimeter of the house is h yards, express h in terms of f.
h=8f
IV: F
DV: H
Lucky John needs at least 7 feet of tape. Write an inequality for the amount of tape he needs.
x>_7
Melander will own a minimum of 3 cats at a time. Write in inequality for the cats.
x>_3