Solving and Graphing Multi-Step Inequalities Quiz

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) you can buy. Graph the solution on a number line.

• n ≤ 8

• n ≤ 15

• n ≤ 10

• n ≤ 5

Maria has $50 to spend on books and magazines. If each book costs $8 and each magazine costs $3, write an inequality to represent the maximum number of books (b) she can buy if she buys at least 2 magazines. Solve the inequality and graph the solution.

• b <= 3

• b <= 4

• b <= 5

• b <= 7

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 your solution on a number line.

• c ≤ 5

• c ≤ 14

• c ≤ 20

• c ≤ 10

A farmer has 120 acres of land. He wants to plant corn and wheat, where corn requires 3 acres per field and wheat requires 2 acres per field. If he wants to plant at least 10 fields in total, write and solve the inequality for the number of corn fields (c) he can plant. Graph the solution.

• 0 ≤ c ≤ 100

• 100 < c ≤ 120

• c < 0

• 0 ≤ c ≤ 50

A concert hall has a seating capacity of 500. If tickets are sold for $15 each and the total revenue must be at least $6000, write and solve the inequality for the number of tickets (t) that must be sold. Graph the solution on a number line.

• t < 400

• t <= 450

• t > 500

• t >= 400

Liam is saving money to buy a new bike that costs $250. He saves $20 each week and has already saved $50. Write and solve the inequality to find out how many weeks (w) it will take for him to save enough money. Graph the solution on a number line.

• w > 10

• w <= 10

• w < 10

• w >= 10

A school is planning a field trip and has a budget of $300. If each student pays $10 and the bus costs $150, write and solve the inequality for the number of students (s) that can attend. Graph the solution on a number line.

• s >= 20

• s < 10

• s <= 15

• s = 12

A recipe requires at least 2 cups of flour and no more than 5 cups. If each cup of flour costs $3, write and solve the inequality for the total cost (c) of flour. Graph the solution on a number line.

• 6 <= c <= 15

• 0 <= c <= 20

• 5 <= c <= 12

• 4 <= c <= 10

A charity event aims to raise at least $2000. If each ticket sold is $25 and they have already raised $500 from donations, write and solve the inequality for the number of tickets (t) that need to be sold. Graph the solution on a number line.

• t < 60

• t >= 60

• t = 50

• t > 70

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, write and solve the inequality for the number of miles (m) you can drive. Graph the solution on a number line.

• m ≤ 200

• m ≤ 300

• m ≤ 150

• m ≤ 250