Applications of Linear Inequalities

Which inequality represents spending no more than $100 on books (x) and notebooks (y)?

• x + y ≤ 100

• x + y ≥ 100

• x + y < 100

• x + y > 100

What is the first step in solving an inequality word problem?

• Plan the solution

• Check the answer

• Understand the problem

• Solve the inequality

• Solid line, shading below

• Solid line, shading above

• Dashed line, shading above

• Dashed line, shading below

• Total cost must be greater than $50

• Total cost cannot exceed $50

• Total cost is exactly $50

• Total cost is less than $50

When is a solid boundary line used in graphing an inequality?

• For inequalities with < or >

• When no solution exists

• For inequalities with ≤ or ≥

• When the inequality sign changes

A gym charges $50 per month plus $10 per class. If you budget $150, what's the max number of classes you can take?

• 9 classes

• 10 classes

• 11 classes

• 12 classes

A nursery sells plants for $15 and pots for $8. You have $120. What's the max number of plants if you buy 4 pots?

• 5 plants

• 6 plants

• 7 plants

• 8 plants

A bakery makes $2 per muffin. If the daily cost is $80, what is the minimum number they must sell to make a profit?

• 39 muffins

• 40 muffins

• 41 muffins

• 42 muffins

A streaming service costs $12 per month, plus $2 per movie rental. If your budget is $40, how many movies can you rent?

• 14 movies

• 15 movies

• 16 movies

• 17 movies

Car rentals cost $30/day plus $0.50/mile. If you have $100, what’s the max number of miles you can drive in one day?

• 120 miles

• 130 miles

• 140 miles

• 150 miles