Solving Linear Equations
What steps does DCMS (Ducks Can Migrate South) stand for?
Distribute
Combine like terms
Move (+/-)
Solve
Solve for x
-18=4/3x-6
x-=-9
Solve for r in terms of pi and h
V=pir^2h
r=sqrt(V/(pih
Solve for x
−2x−5x>−21
x<3
Rewrite the interval in inequality notation:
[2,7)
2≤x<7
Solve for x
6x-(3x-25)=0
x=-25/3
Solve for x
2/5x+1/10x=8
x=16
Solve for a in terms of s and t
s=1/2at^2
a=(2s)/t^2
Solve for m
8−3(5m+4)≥83
m≤−29/5
Rewrite the inequality in interval notation:
x>−3
(−3,∞)
Solve for n
4n-6n-10=5n-60-8
n=-52/7
Solve for x
(5x)/8-x/4=7/8
x=1
Solve for P in terms of D
D=12/7(P-16)
P=(7D)/12+16
Solve for y
−2−5(3y+4)>−77
y<11/3
Rewrite the interval in inequality notation:
(−∞,5]
x≤5
Solve for x
-(1+7x)-6(-7-x)=36
x=5
Solve for x
(x+3)/4+(3x)/5+(x)/10=30
x=36
Solve for c in terms of F
F=11/5c+22
c=5/11(F−22)
Solve for x
− 8x + 2x − 16 < − 5x + 7x
x>16
Rewrite the inequality in interval notation:
x≤−2 or x>3
(−∞,−2]∪(3,∞)
Solve for x
-5(1-5x)+5(-8x-2)=-4x-8x
x=-5/2
Solve for x
2/5(x-4)+3/(2x)+1/x=12
x=5/2
Solve for P in terms of A, r and t
A=P(1+rt)
P=A/(1+rt)
Solve for k
− 6(1 + 7k) + 7(1 + 6k)≤ − 2
k<=3
Rewrite the interval in inequality notation:
(−∞,−3)∪[1,6)
x<−3 or 1≤x<6