Equations
Inequalities
Graphing
Word Problems
Algebra Rules
100
5-x=7
-x=2
x=-2
100
x/2>6
x>12
100
Represent the inequality
x<3
100
Averey wants to play games with his friends. If Averey has 10 friends coming over and he only has 2 controllers, how many more controllers will he need?
2+x=11
x=9
100
Whatever you do to one side of the equation...
You do to the other side!
200
21=3m+6
15=3m
5=m
200
T-7.5>=-12.5
T>=-5
200
Graph the inequality using a number line
x>=0
200
Tasha currently has $67 saved in her bank account. She will be staying in New York for three nights where she will be spending $100 each night. How much more money does Tasha need to save?
$67+x=$300
x=$233
200
What happens when you multiply or divide by a negative in an inequality?
The inequality sign flips
300
(#9 on Topic 5.3)
1/8(p+24)=9
1/8p+3=9
1/8p=6
p=48
300
20x-3>24
*Credit to Peyton*
20x>27
x>1.35
300
Graph the inequality using a number line
-5x> -10
300
(#12 in Topic 5.6)
A manager needs to rope off a rectangular section for a private party. The length of the section must be 7.6 meters. The manager can use no more than 28 meters of rope. What inequality could you use to find the possible width (w) of the roped off section?
15.2+2w<=28
300
Choose a team to give 300 points to. It cannot be your own team.
I guess we know who your favorite team is.
400
16c + 24c + 10c = 250
*Credit to Aaradhya & Zaina*
(Sorry, I could not make sense of your word problem)
50c=250
c=5
400
9(3x+2.5)>76.5
*Credit to Maverick*
27x+22.5>76.5
27x>54
x>2
400
Graph the inequality using a number line (#10b on Topic 5.6)
-2x+22<18
-2x<-4
x>2
400
Amiela is going on a trip to New York and has a $2500 budget. A night staying in a hotel costs $150 per night and she intends to spend $100 every day. How many days can she stay in New York?
$150n+$100n=$2500
$250n=$2500
n=10
400
What operations do you use to solve a two-step equation?
Step 1: _____________________________________
Step 2: _____________________________________
Step 1: Addition/Subtraction
Step 2: Multiplication/Division
500
-5(20-1.25)+x=49
-100+6.25+x=49
-93.75+x=49
x=142.75
500
-5(9x-1)> -9
-45x+5> -9
-45x>-14
x<14/45
500
Graph the inequality using a number line (#4 on Topic 5.7):
2(n+3)-4<6
2n+6-4<6
2n+2<6
2n<4
n<2
500
Abby and her five friends have $42 to spend on snacks for a movie. Her friends buy two large popcorns for $6 each. They would also like to buy some pretzel bags which cost $2.75 each. How many pretzel bags can they buy without exceeding their $42 budget?
$12+$2.75p<=$42
$2.75p<=30
p<=10.909
No more than 10 pretzel bags
500
What is the first step to solve the following inequality?
-1-6(6+2x)<11
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