Graphing and Writing Inequalities
Two-Step Inequalities
Multi-Step Inequalities
Word Problems
Inequalities with Fractions
100
Write an inequality for the statement: "A number is less than 5."
x<5
100
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
100
Solving Inequalities
-4f + 6 < 18
What is:
-3 < f
100
The garden club is planting fruit trees in their school's garden. There is 1 large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need .5 pounds of fertilizer each. Write an inequality that represents this situation.
.5x + 5 <_25
(.5x plus 5 is less than or equal to 25)
100
Solving Inequalities
Solve for x.
2x > 8
What is:
x > 4
200
Write an inequality for the statement: "Twice a number is greater than 10."
2x>10
200
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
200
Solve the inequality
5(p - 2)< -30
p < -4
200
The hiking club is on a hile down a cliff. They begin at an elevation of 12 feet and descent at the rate of 3 feet per minute. Write an inequality that represents this situation.
37x - 3 >_12
37x - 3 greater than or equal to 12
200
Solve the Inequality
X + 4 < -88
What is:
X < -92
300
Which direction do we shade for -3 > x ?
What is
Left
300
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x < 8
300
Solve
-3p + 1 < -11
p > 4
300
True or false: use an open circle to represent the inequalities < and > ?
True
300
Solve the Inequality
z/30 > 70
(z divided by 30)
z > 2,100
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
Solve for v.
v/3 + 14 < 30
v < 48
400
Solve an Inequality
8 < 4d + 12
-1 < d
400
True or False: If graphing 5>x, we would put an open circle on 5 and shade to the right.
False.
400
Solve the Inequality
-4x < 14
What is:
x > -7/2 OR x > -3.5
(Negative 7 over 2)
500
Is -6 a solution to the inequality below:
-8>y
No
500
Inequalities
11 < 2 - 3x
x < -3
-3 > x
500
-12 < -7x + 6 + 4x
6 > x
500
At midnight the temperature in a city was 8 degrees Celsius. The temperature was dropping at a steady rate of 3 degrees per hour. How long did it take to get to at least -16 degrees Celcius? Write an inequality to represent the situation.
8 -3t >_-16
8 - 3t is at least -16
500
Solve the Inequality:
f - 9 < -58
What is:
f < -49