Systems of equations and
inequalities from word
problems questions and
answers 2025(passed)
Marsha is buying plants and soil for her garden.
The soil cost $4 per bag, and the plants cost $10
each. She wants to buy at least 5 plants and can
spend no more than $100. Write a system of linear
inequalities to model the situation. - answer 4s +
10p ≤ 100
p≥5
For the graph:
https://www.mathpapa.com/calc/tutorial/solving-
systems-of-equations/
Marcy's farm has both chickens and horses. In total
she has 23 farm animals. When she counted, she
found that all her animals combined had 70 legs in
all. How many chickens and horses does she have?
Write a system of equations and solve. - answer c
+ h = 23
2c + 4h = 70
(11,12)
, Jessica's family has both birds and dogs. In total
she has 13 pets. When she counted, she found that
all her pets combined had 34 legs in all. How many
dogs and birds does she have? Write a system of
equations and solve. - answer B + D = 13
2B + 4D = 34
(9,4)
Davis middle school had a play. 246 people came.
The ticket price for adults was $1.50 and for
children $1.00. The total amount of money made
was $325.50. How many children and adults came?
Write a system of equations and solve. - answer A
+ C = 246
1.50A + 1C = 325.50
(159,87)
Memorial middle school had a play. 547 people
came. The ticket price for adults was $2.00 and for
children $0.50. The total amount of money made
was $827.00. How many children and adults came?
Write a system of equations and solve. - answer A
+ C = 547
2A + 0.50C = 827
(369,178)
inequalities from word
problems questions and
answers 2025(passed)
Marsha is buying plants and soil for her garden.
The soil cost $4 per bag, and the plants cost $10
each. She wants to buy at least 5 plants and can
spend no more than $100. Write a system of linear
inequalities to model the situation. - answer 4s +
10p ≤ 100
p≥5
For the graph:
https://www.mathpapa.com/calc/tutorial/solving-
systems-of-equations/
Marcy's farm has both chickens and horses. In total
she has 23 farm animals. When she counted, she
found that all her animals combined had 70 legs in
all. How many chickens and horses does she have?
Write a system of equations and solve. - answer c
+ h = 23
2c + 4h = 70
(11,12)
, Jessica's family has both birds and dogs. In total
she has 13 pets. When she counted, she found that
all her pets combined had 34 legs in all. How many
dogs and birds does she have? Write a system of
equations and solve. - answer B + D = 13
2B + 4D = 34
(9,4)
Davis middle school had a play. 246 people came.
The ticket price for adults was $1.50 and for
children $1.00. The total amount of money made
was $325.50. How many children and adults came?
Write a system of equations and solve. - answer A
+ C = 246
1.50A + 1C = 325.50
(159,87)
Memorial middle school had a play. 547 people
came. The ticket price for adults was $2.00 and for
children $0.50. The total amount of money made
was $827.00. How many children and adults came?
Write a system of equations and solve. - answer A
+ C = 547
2A + 0.50C = 827
(369,178)
