Solving Inequalities
Word Problems with Inequalities
Graphing Inequalities
Solving Equations
Solving Equations with Word Problems
100
b + 8 < -9
b < -17
100
On a tax free weekend, Hannah is shopping for clothes and can spend no more than $60. She finds a pair of jeans for $25 and is now deciding on how many shirts to buy at $12 each.
Write an inequality that can be used to solve for how many shirts (s) Hannah will be able to purchase without going over her budget.
12s+25<=60
100
Graph on a number line
n <= -5
100
5x + 3 = 8
x = 1
100
Jake paid $13.50 for admission to the county fair and bought 9 tickets to play games. He spend a total of $36. Write an equation to solve for the cost, (c) , of one ticket.
13.50 + 9c = 36
or
9c + 13.50 = 36
200
9x – 7 ≤ 38
x<=5
200
A sales person gets paid $250 per week plus an additional $15 per sale made. If this person wants their total weekly check to be at least $600, how many sales (s) will they need to make?
Write an inequality to represent the situation.
15s + 250 >= 600
200
Graph on a number line
n>5
200
-5 = 7 + 3r
r = -4
200
Serena paid $194.99 for a game system and then bought to equally priced games. if she spent a total of $284.97, what is the price of one game?
Write an equation to represent the situation.
2g + 194.99 = 284.97
or
194.99 + 2g = 284.97
300
21 ≤ 3 + 9x
x>=2
300
John has a vacation savings goal of at least $1500. He has already saved $350. He will mow lawns for $25 each. How many lawns will he need to mow to reach his savings goal?
Write an inequality to represent this situation.
25l+350>=1500
300
Write an inequality for the number line:
p<-1
300
17(x + 5) = 0
x = -5
300
A one year membership to your local gym costs $539. There is an initial sign up fee of $35. Write an equation you can use to find out how much you would pay per month.
12x + 35 = 539
400
-2x – 3 ≤ -5
x >=1
400
Rick won 27 tickets playing a game. To get a prize, he needs to win at least 30 tickets. How many more tickets can he win to get a prize?
Write an inequality to represent the situation
t+27>=30
400
Write down/describe how you would graph the inequality -5 > v
Be clear and specific.
I would put an open circle on -5 and shade the number line to the left.
400
7 = (10-g)/-2
g = 24
400
Luca sells hand-crafted puzzles at a profit of $7 a puzzle. If her start-up cost was $300, how many puzzles must she sell before she earns a total profit of $500?
Write an equation to represent the situation.
7x - 300 = 500
500
−2(b + 1) + 4 < 10
b > -4
500
Max earns $18 per hour. This week he is hoping to earn at least $630. How many hours would he need to work?
Write an inequality to represent the situation.
18h>=630
500
Write down/describe how you would graph the inequality. Be clear and specific.
k<=-2
I would put a closed circle on -2 and shade the number line to the left.
500
-7 = -11 + v/5
v = 20
500
Clara has 9 pounds of apples. She needs 1.25 pounds per apple pie. If she sets aside 1.5 pounds to make applesauce, how many pies can she make?
Write an equation to represent the situation.
1.25p + 1.5 = 9