Word Problems Inequalities
Turn this into an inequality expression: the sum of x and 3 is less than 5
x + 3 < 5
1 less than the product of a number and 5 is -46.
5x-1=-46
x=-9
-15x - 110 + 7x = 90
x=-25
x/13 + 7 ≥ 228
x ≥ 2873
Lucas 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
The quotient of a number and -2, decreased by 9, is -16.
x/-2 - 9 = -16
x=-14
-4(-6x - 3)=12
x=0
65 ≤ -3- 4(6-2x)
4.75 ≤ x
A chauffeur service charges a flat rate of $2, plus $0.50 per mile. If Erica has the most $18 to spend on the chauffeur ride, how far could she travel?
32 miles
Ryan went to the gas station to purchase 2 slushies, 1 candy bar, and a pack of gum. The candy bar was $2.50 and the gum was $1.50. His total was $9.00, what was the price of each slushy?
2x + 1.50 + 2.50 = 9
x=$2.50
2(x + 11) = -3(16 - x)
x = 70
4(3x - 7) < 20(x - 1)
x > -1
Alex and his 3 friends went out to dinner. The total cost of the meal, including the tip, came to $53. If the tip came out to $9, and each friend spent an equal amount, how much did each friend pay NOT including the tip?
$11
Hailey is selling cookies for $4 per dozen. She pays $10 for the ingredients. If she ends up with a profit of $66, how many dozen cookies did she sell?
4x-10=66
x=19
5x - 3 = 3(2x - 1) - x
-3 = -3
Infinite solutions
4x - 9 < 6x + 25
x > -17
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 the score she needs to get on her last test to qualify.
x ≥ 89
Natalie added 20 pieces of candy to a bowl that already had candy in it. Two days later, half of the candy in the bowl was gone. If there are 14 pieces left in the bowl, how many pieced were in the bowl before she added the 20 pieces?
(x+20)/2 = 14
x=8
-13 + 12x - 4 = 6(2x -1)
-17 does not equal -6
No Solution
4(3x + 10) > -3x - 51 + 8x
x > -13