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The sum of x and 8 greater than 11
x + 8 > 11
Write and solve an inequality:
On a train, your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds. Write an inequality that represents how much weight you can add to your bag.
38 + w <= 50
w <=12
Write and solve an inequality:
The quotient of a number and 5 is no greater than 450. What are the possible values for the number?
n/5 <= 450
n <= 2250
Write an inequality and solve:
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 - 20n >= 100
-20n > = -220
n <= 11
Write an inequality and solve:
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?
9.99 + 15.99d <= 100
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The difference of x and 3 is at least -5
x - 3 >= -5
Write and solve an inequality:
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.
19.76 + x >= 25
x > = 5.24
Write and solve an inequality:
10 oranges can fit in a box, and there are less than 20 boxes. How many oranges could you have?
x/10 < 20
x < 200
Write an inequality and solve:
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?
2.75 + 0.65m <= 14
0.65m <=11.25
m <=17.307... miles
Write an inequality and solve:
There are three exams given in a marking period. Ryan received an 85 and a 91 on the first two exams. What grade must he earn on the last exam in order to get an average of no less than a 90 for the marking period?
(85 + 91 + x)/3 >= 90
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The quotient of a number and -9 is at most 4
x/-9 <= 4
Write and solve an inequality:
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
Write and solve an inequality:
A teacher needs to give out at least 75 total cookies to her 15 students. How many cookies can each student get?
15c >= 75
c >= 5
Write an inequality and solve:
One-fourth multiplied by sum of t and 9 is at most 9
1/4(t + 9) <= 9
t + 9 <= 36
t <= 27
Write an inequality and solve:
The sum of two consecutive integers is less than 55. Find the pair of integers with the greatest sum.
What is n + n + 1 < 55
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6 is less than or equal to the sum of twice a number and 15
6 <= 2n + 15
Write and solve an inequality:
Monday’s high temperature was 20°F. Tuesday’s high temperature was forecast to be no more than 8°F warmer than Monday’s high temperature. According to the forecast, what are the possible high temperatures for Tuesday?
t - 20 <= 8
t <= 28
Mary and Susan are twins (so their ages are the same). Their ages combined are less than 64 years. Write an inequality that shows this. Then solve it.
2a< 64
a < 32
Write and solve:
Half of 7 added to product of h and 4 is at least 1
1/2(7 + 4h) >= 1
7 + 4h >= 2
4h >= -5
h >= -1.25
Write an inequality and solve:
The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum.
n + n + 2 <= 400
Translate and solve.
The sum of a number and 5 is fewer than 2 times that number
n + 5 < 2n
-n -n
5 < n
Make a word problem that can be solved using either addition or subtraction.
Answers may vary.
Johnny is more than 1/2 your age, plus 7. If your age is "x", and Johnny's is "j"
a) what does the inequality look like?
b) If you were 12 years old, how old can Johnny be? Describe all possible solutions.
a) j > (1/2)x + 7
b) j > 13, more than 13 years old
The length of a rectangle is 4cm longer than the width. The perimeter is no more than 28cm. What are the maximum possible dimensions for the rectangle?
2 Lengths: each is 4 + w
2 Widths: w
8 + 4w <= 28
4w <= 20
w <= 5
Max width: 5. Math length: 9
Find two consecutive integers such that 7 times the smaller is less than 6 times the greater. What are the greatest such integers?
7(n) < 6(n+1)