A store sells notebooks for $2 each and pens for $1 each. If you want to spend no more than $20 on notebooks and pens combined, write and solve the inequality for the number of notebooks (n) and pens (p) you can buy. Graph the solution on a number line.
Solving & Graphing Multi-Step Inequalities Challenge

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The maximum number of pens is 20, regardless of notebooks.
You can only buy 5 notebooks and no pens.
The number of notebooks (n) can be from 0 to 10, and for each n, the number of pens (p) can be from 0 to (20 - 2n).
You can buy up to 15 notebooks and 5 pens.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Maria has $50 to spend on books and magazines. If each book costs $8 and each magazine costs $5, write an inequality to represent the maximum number of books and magazines she can buy. Solve the inequality and graph the solution on a number line.
8x + 5y = 50
The maximum number of books and magazines Maria can buy is represented by the inequality 8x + 5y ≤ 50, with integer solutions for (x, y) being (0,10), (1,9), (2,8), (3,7), (4,6), (5,5), (6,2).
x + y ≤ 10
8x + 5y < 50
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym charges a $30 membership fee plus $5 per class. If you want to spend no more than $100 in a month, write and solve the inequality for the number of classes (c) you can attend. Graph the solution on a number line.
c ≤ 12
c ≤ 14
c ≤ 10
c ≤ 20
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has a budget of $200 to buy seeds and fertilizer. If each bag of seeds costs $15 and each bag of fertilizer costs $10, write an inequality to represent the maximum number of bags of seeds (s) and fertilizer (f) he can buy. Solve the inequality and graph the solution on a number line.
15s + 10f ≤ 200; s ≤ 13, f ≤ 20.
20s + 5f ≤ 200; s ≤ 10, f ≤ 40.
5s + 20f ≤ 200; s ≤ 30, f ≤ 5.
10s + 15f ≤ 200; s ≤ 20, f ≤ 10.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert ticket costs $50, and you want to buy tickets for your friends without spending more than $300. Write and solve the inequality for the number of tickets (t) you can buy. Graph the solution on a number line.
t = 5
t < 6
t >= 7
t <= 6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip and has a budget of $400. If each bus costs $100 and each ticket costs $20, write an inequality to represent the maximum number of buses (b) and tickets (t) they can purchase. Solve the inequality and graph the solution on a number line.
100b + 20t ≤ 400, where 0 ≤ b ≤ 4 and t ≤ 20 - 5b.
100b + 30t ≤ 400
50b + 10t ≤ 400
200b + 20t ≤ 400
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
You are saving money for a new video game that costs $60. If you save $5 a week, write an inequality to determine how many weeks (w) it will take to save enough money. Solve the inequality and graph the solution on a number line.
w < 12
w > 15
w <= 10
w >= 12
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