Graphing and Writing Inequalities
True/False Statements
One-Step Inequalities
Two-Step Inequalities
Word Problems
100
What symbols are these?
< , ≤ , > , ≥?
Inequalities
100
We use an open circle to graph the inequalities < and > ?
True
100
Solving Inequalities
Solve for x.
x + 4 < 8
x < 4
100
Solving Inequalities
Solve for x.
2x + 3 < 7
x < 2
100
You rent a moving truck for a daily fee of $20 and are charged $0.75 per mile. You budgeted a maximum total cost of $65. Write an inequality that represents the number of miles (m) you can drive the truck.
20 + 0.75m ≤ 65
200
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
200
-2 is less than -10
False
200
Solve the Inequality
x - 4 ≥ -8
x ≥ -4
200
Solving Inequalities
Solve for x.
3x - 5 > 16
x > 7
200
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
300
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
300
Is the statement true when x = -6?
x > -3
False
300
Solve the Inequality
z/2 <= -37
z ≤ -74
300
Solving Inequalities
Solve for x.
9 + x/2 > -7
x > -32
300
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
400
What inequality does the graph below show?
x ≥ -6
400
Is the statement true when k = -20?
k + 10 ≥ -10
True
400
Solve the Inequality
30 + x ≥ 70
x ≥ 40
400
Solve for v.
v/5 + 6 < 30
v < 120
400
Marcus has $400 in his savings account. He wants to buy a new gaming system and games, but he is determined to keep at least $120 in his account for emergencies. 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
500
Which direction does your arrow go when graphing
-3 > x?
Left <------------
500
When graphing x < 5, we would put an open circle on 5 and shade to the right.
False.
500
Solve the Equation:
-2f ≤ 58
f ≥ -29
500
Inequalities
12 - 5x > 117
x < -21
500
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