WorksheetsSystems of Inequalities Word Problems
Total questions: 10
Worksheet time: 2hrs 38mins
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
4x + 2y = 44
x + y = 44
4x = y + 15
x - y = 15
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
x + y ≥ 6
32x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 6
32x + 20y ≤ 150
x + y ≤ 6
32x + 20y ≥ 150
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing
7.5x+5.5y≥2000
7.5x+5.5y≥2000
7.5x+5.5y≤2000
7.5x+5.5y≤300
3b + 6t > 66
3b + 6t < 66
b + t < 66
b + t < 66
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?
x + y < 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y > 20
x + y < 10
2x + 3y > 20
1.) Mr. Shah is ordering chicken wings and fries for his son’s birthday party and has a budget of $81. An order of a bucket of chicken wings costs $13 and an order of basket of fries costs $7.
Inequality: 13x+7y≤81
b) Graph in Desmos!! c) Choose all possible solutions below:
3 buckets of chicken wings & 2 baskets of fries
5 buckets of chicken wings &
1 basket of fries
10 buckets of chicken wings &
0 baskets of fries
0 buckets of chicken wings &
10 baskets of fries
5 buckets of chicken wings &
5 baskets of fries
2.) During a sale, all headphones cost $26 and all cell phone cases cost $14. Derrick is buying these products as gifts for his friends plans to spend at least $150.
a) Inequality: 26x+14y≥150
b) Graph in Desmos!! c) Choose all correct solutions below.
0 headphones &
11 phone cases
3 headphones &
4 phone cases
2 headphones &
5 phone cases
6 headphones &
2 phone cases
1 headphone &
7 phone cases
