Graphing and Writing Inequalities
True/False Statements
Word Problems
One-Step Inequalities
Multi Step Inequalities
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Is the statement true
x > -3
x = -6
False
100
Write an inequality for: double a number is at least 10
2x>=10
100
Solving Inequalities
Solve for x.
3x < 12
x < 4
100
Solving Inequalities
Solve for x.
-11 ≥ 6-2x-5
x ≥ 6
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Is the statement true?
k + 10 ≥ -10
k = -20
True
200
Write and solve an inequality for: Joel had n number of comic books and bought 4 more. After buying the new comic books, he had at least 8 comic books.
n+4>=8
n>=4
200
Solving Inequalities
Solve for x.
-5x > - 45
x < 9
200
Solving Inequalities
Solve for x.
-2 ≥ 4x+10
x ≤ -3
300
Which direction do we shade an arrow for x < -3 ?
Left <------------
300
We use an open circle to graph the inequalities < and > ?
True
300
Write and solve an inequality for:
Sara wants to save a minimum of $200 to spend while on vacation. She already has $40. She will earn $15 per hour babysitting before vacation. How many hours will she need to babysit to meet her goal? Round to the nearest whole number of hours
h = hours
40 + 15h>=200
h>=11
300
Solving Inequalities
Solve for x.
9x > -63
x > -7
300
Solving Inequalities
Solve for x.
30 + 15x > -15
x > -3
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
If graphing x < 5, we would put an open circle on 5 and shade an arrow to the right.
False.
400
Write and solve an inequality for:
The student council is running a bake sale to raise money for school dances. They need to earn at least $250 in profit. They spend $50 for supplies and sell each baked good for $2. How many baked goods do they need to sell to make their goal? Round to the whole number.
b = number of baked goods sold
2b - 50 >=250
b>=150
400
Solve for v.
v/5 < 30
v < 150
400
Solving Inequalities
Solve for x.
-2(6+4x) ≥ 12
x ≥ -3
500
What type of symbols are these?
< , ≤ , > , ≥?
Inequalities
500
-2 is less than -10
False
500
Write and solve an inequality:
Emma is fencing in a rectangular part of her yard for her dog. She has purchased 90 meters of fencing. She wants the length of the area to be twice the width. What are the maximum dimensions that she can have with this amount of fencing?
w = width
2w + 2w + w + w <=90
6w<=90
w<=15
length<=30
500
Inequalities
-12x > 156
x < -13
500
Solving Inequalities
Solve for x.
-2(9x+3) - 6x ≥ -9
x ≤ 1/8