Multi-Step Equations
Absolute Value Equations
Literal Equations
Multi-Step Inequalities
Compound Inequalities
Absolute Value Inequalities
100
2(4v-9)-(3v-11)=-52
v=-9
100
|8v-12|=68
{-7, 10}
100
Solve for F.
C=1/3(F-32)
F=3C+32
100
Solve the inequality and graph its solution.
-8x+2x-16<-5x+7x
x> -2
100
Solve the compound inequality and graph its solution.
2x<10 or x/2ge3
x<5 or xge6
100
Solve the absolute value inequality then graph its solution.
|7x+4|ge74
xge10 or xle-11.1
200
4/(2x-6)=(-5)/(x+11)
x=-1
200
14+|3k+6|=5
No Solution
200
Solve for a.
x=(-b)/(2a)
a=(-b)/(2x)
200
Solve the inequality and graph its solution.
7x+2>3(x-4)-(x-4)
x> -2
200
Solve the compound inequality and graph its solution.
-1+5n> -26 and 7n-2le12
-5<nle2
200
Solve the absolute value inequality then graph its solution.
|3+r|/7le5
-38lerle32
300
5(6p-3)-2=2(15p-11)+5
Infinite Solutions
300
(|a+5|-5)/(-2)=2
{-6, -4}
300
Solve for c.
(a+bc)/d=e
c=(ed-a)/b
300
Solve the inequality and graph its solution.
-6(1+2x)ge6(2x-1)+2x
xle0
300
Solve the compound inequality and graph its solution.
-10b+3le-37 or 3b-10le-25
bge4 or ble-5
300
Solve the absolute value inequality then graph its solution.
-3+|n-2|>5
n>10 or n<-6
400
10-4(3-2y)=8y-5
No Solution
400
(|3-6w|)/5-16=-7
{-7, 8}
400
Solve for l.
w=(P-2l)/2
l=w-p/2 or l=(2w-p)/2
400
A bus company charges $145 per hour plus a driver tip of $75 for the day. The Math Club raised $950 to attend a math competition. Write and solve an inequality to find the maximum number of hours in which they can rent the bus.
A maximum of 6 hours.
400
Solve the compound inequality and graph its solution.
-50<7k+6<-8
-8<k<-2
400
Solve the absolute value inequality then graph its solution.
7|n/3|-9<12
-9<n<9
500
1/3(24x-54)=11(x-4)+5
x=7
500
1-6|28-4n|=-95
{3, 11}
500
Solve for l.
S=pir^2+pirl
l=S/(pir)-r or l=(S-pir^2)/(pir)
500
Ava is using $290 that she saved from babysitting to purchase video games at $52 each and a new controller for $43. Write and solve an inequality to find the number of games she can purchase.
At most 4 games
500
Solve the compound inequality and graph its solution.
5x-5> -7x-5 or 3x+5lex-1
x>0 or xle-3
500
Solve the absolute value inequality then graph its solution.
4|6-2a|+8le24
1leale5