One-Two Step Inequalities
One-Two Step Equations
Linear Representations
Graphing/Writing Inequalities
Vocabulary
100
What is an inequality?
It is a comparison of values using symbols
100
10= s +1
10=s+1 subtract 1 from both sides
s= 9
100
truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether.
a. If the truck is carrying 10 jugs of drinking water, how many cases of paper towels can they carry?
b. If the truck is carrying 50 cases of paper towels, how many jugs of drinking water can they carry?
a. 100 cases of paper towels
b. 30 jugs of drinking water
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
A relationship that holds between two values when they are different.
What are inequalities?
200
Name an inequality symbol
- < (Less Than)
- > (Greater Than)
- ≤ (Less Than or Equal To)
- ≥ (Greater Than or Equal To)
200
2k = 12
2k = 12 divide by 2
k= 6
200
A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether.
Write an equation relating the number of jugs of water (w) and the number of cases of paper towels (t) the truck can carry.
40w + 16t = 2000
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Name a inverse operation
division and multiplication or ÷ and ×
subtraction and addition or - and +
300
y - 2 < 12
y < 10
300
24 = 4c
24 = 4c divide 4 on both sides
6= c
300
A pizza shop charges $12 per pizza and a delivery fee of $5. How much would x pizzas cost?
y = 12x+5
300
Which direction do we shade for x < -3 ?
What is Left?
300
slope-intercept formula
y=mx+b
400
-1 + 5x > 6
1+ 5x > 6
-1 -1
5x > 5
x> 1
400
8n + 7 = 31
8n + 7 = 31 subtract 7 from both sides
8n= 24 divide 8 from both sides
n= 3
400
A pizza shop charges $12 per pizza and a delivery fee of $5. How much would Mrs. Johnson pay if she ordered 7 pizzas for the staff at Carmody?
y= 12x+5
y= (12 x 7)+ 5
y = 84 + 5
y= 89
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
5x + 20 = 35
What are two step equations?
500
-3r -7 < 2
-3r -7 < 2
+ 7 +7
-3r < 9 divide -3 on both sides
r > -3
500
-5x + 13 = -17
-5x + 13 = -17 subtract 13
-5x = -30 divide -5
x= 6
500
A pizza shop charges $12 per pizza and a delivery fee of $5. Describe what a graph where the x axis is representing the number of pizzas and the y axis is representing the total cost would look like.
The y-intercept would be at 5 and the line would increase by 12 for each additional pizza.
500
What are these symbols called:
< , ≤ , > , ≥?
(The answers are not less then, greater then)
What is Inequalities?
500
Symbol on a number line that tells us a
number is not included.
What is an open circle? o