Word Problems
You order a book that's $19.76. The site offers free shipping on orders of $25 or more. Write an inequality that shows how much more you need to spend to get free shipping.
What is $19.76 + a ≥ $25?
a ≥ 5.24
4x - 10 > 5x + 7
x < 17
-4x <28
X> -7
15x>75
x>5
Your work EXCEEDS my expectations
>
more than
An NHL player has 59 goals so far this season. What are the possible numbers of additional goals the player can score to match or break the NHL record of 92 goals in a season?
59 + g ≥ 92
g ≥ 33
Graph
When should you have an open circle?
< or > No LINE
2m + 23 < 31
m<4
Solve and graph
4a + 25> 9
a > -4
You have done much more than I expected
>
more than
Your current balance in a bank is $320. You can't go below $100. Write an inequality that shows how many $20 bills you could withdraw from the account while maintaining the minimum balance.
What is $320 - $20(n) ≥ $100?
n ≤ 11
Graph
Which number work for this inequality:
3x + 1 < 10
6, -3, 0, 4
0 and -3
Graph: m > -5
Look at number line
A number plus 5 is less than 2 times that number
What is n + 5 < 2n?
You must not exceed the speed limit
≤
less than or equal to
The Yellow Taxi Cab Co. charges a $2.75 flat rate and $.65 for each additional mile. Emma has no more than $14 to spend on a ride. How many miles can Emma ride without exceeding her spending limit?
What is 2.75 + .65(m) ≤ 14?
m ≤ 17
Without solving the problem how many times will you reverse the inequality sign. Explain.
4 > -3k -23
2 times
Dividing by a negative and variable on the right side.
x/2 + 3x/4 < 5 + 10/3
x < 6 2/3
33 ≤ -3(-2+2p) -3p
p ≤ -3
The temperature is below normal for the season
<
less than
Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?
What is 9.99 + 15.99(d) <= 100?
d <= 5
Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of $550?
What does the variable represent?
Inequality:
Explain the solution in context of the problem.
s= dollars of sales Sam must make
0.04s + 300 ≥ 550
s ≥ 6,250
He must sell 6250 dollars
Dylon decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylon could take with him to the movies?
6.25f +16 <=50
f <= 5.44
Just 5 or less
Sylvia set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
5w + 60 ≥ 200
w ≥28
What is the minimum amount to pay?
≥
more than or equal to