Word Problems Inequalities
Turn this into an inequality expression: twice the sum of x and 3 is less than 5
2 (X + 3) < 5
A man bought 4 lemonades at a stand and then later other lemonades at a store. The stands lemonade costs $2.00 and the store costs $4.00. If in total he paid $32.00 how many lemonades did he buy in the store?
4x=32
x=8
x + 10 = 15
x=5
-76< 4x
x > -19
Thomas has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Thomas withdraw money from his account?
12 weeks
Benjamin sold half of his video game collection then bought 10 more. He now has 16 video games. How many did he begin with?
x + 10 = 16
x=6
x/ 2 - 1= 2
x=6
7x - 10 ≥ 18
x ≥ 4
A chauffeur service charges a flat rate of $1.75, plus $0.65 per mile. If Erica has the most $10 to spend on the chauffeur ride, how far could she travel?
12.7 miles
Ryan went to 7/11 he purchases 2 XL ICEE, 1 Hershey’s bar, and a pack of spearmint gum. The Hershey’s bar was $2.00 and the spearmint gum was $1.00. His total was $8.00, what was the price of both ICEEs?
x + 1 + 2 = 8
x=5
3x -2 = 61-4x
x=9
x/13 + 7 ≥ 228
x ≥ 2873
Alan and his friends went out to dinner. the total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip
$22.05
Hailey drank 12 energy drinks, she drank 6 more energy drinks than 2 times the amount of energy drinks that Emily drank. How many energy drinks did Emily consume?
12 = 6 + 2x
x=3
-2(3+ 4x)= .72
x = -0.34
5 (2-3x)> -20
x > 2
Christine is getting ready for college. She needs to have an overall 85 in her math class to qualify for the college she wished to attend. Her math grade is based on 6 exams. On the first 5 exams, her scores were 87, 81, 85, 90, and 78. Write an inequality that represents her predicament. What score does she need to get on her last test to qualify
x ≥ 89
Alan went to the store and bought 4 lemons, he gave the cashier $10.00. He received $2.04, What was the cost of each lemon, and what was the total price of his purchase.
x = 10 - 2.04 / 4
x=2.14
-4( x+ 9)= x - 81
x = 9
65 ≤ -3- 4(6-2x)
11.5 ≤ x