Graphing and Writing Inequalities
True/False Statements
Two-Step Inequalities
Word Problems
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
-1 is less than -11
False
100
Solving Inequalities
Solve for x.
3x - 5 > 16
x > 7
100
A convenience store requires you to spend at least $6 in order to use a debit card. You want to buy a bottle of OJ for $1.20. Donuts cost $0.80 each. Write and solve an inequality that represents the amount of donuts you can purchase in order to meet the debit card requirement.
1.20 + 0.80 ≥ 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 when x = -8?
x > -3
False
200
Solving Inequalities
Solve for x.
9 + x/2 > -7
x > -32
200
A shipping crate currently weighs 850 lbs. To meet safety regulations for a specific delivery truck, the crate must weigh no more than 600 lbs. If workers remove smaller boxes weighing 25 lbs each, write an inequality to find the minimum number of boxes they must remove to meet the requirement.
850 - 25b < 600
300
What inequality does the graph below show?
x ≥ -6
300
Is the statement true when k = -13?
k + 9 ≥ -10
True
300
Solve for v.
v/5 + 6 < 30
v < 120
300
Marcus has $400 in his savings account. He wants to buy a new gaming system and games, but wants to keep at least $120 in his account. Every time he buys a new "Gold Tier" game, $65 is deducted from his balance. Write an inequality to find the maximum number of games Marcus can buy.
400 - 65g ≥ 120
400
Which direction does your arrow go when graphing
13 > x?
Left <------------
400
When graphing x < 15, we would put an open circle on 15 and shade to the right.
False.
400
Inequalities
12 - 5x > 117
x < -21
400
Jonathan is paid $9.50 per hour plus a $50 bonus for having perfect attendance. This week he wants to earn more than $354 . Write an inequality to determine the total number of hours he needs to work in order to to reach this goal.
50 + 9.50h > 354