Creating Linear Inequalities

At the arcade you want to spend your money playing skeeball and air hockey. Skeeball (x) costs $2 and air hockey (y) costs $4. You only can only spend up to the $50 you brought with you.

• 2x + 4y ≥ 50

• 2x + 4y ≤ 50

• 2x + 4y > 50

• 2x + 4y < 50

You make $5 profit on every brownie (x) you bake, and $3 profit on every cupcake (y). You are trying to earn at least $350 to buy new shoes.

• 5x + 3y ≥ 350

• 5x + 3y > 350

• 5x + 3y < 350

• 5x + 3y ≤ 350

The drama club is selling slam poetry tickets. Student tickets (x) are $5 and adult tickets (y) are $10. The space can hold no more than 75 people.

• 5x + 10y ≥ 75

• 5x + 10y ≤ 75

• x + y ≥ 75

• x + y ≤ 75

The drama club is selling slam poetry tickets. Student tickets (x) are $5 and adult tickets (y) are $10. They want to make at least $400 for new costumes.

• 5x + 10y ≤ 400

• 5x + 10y ≥ 400

• x + y ≤ 400

• x + y ≥ 400

At football games, candy (x) is $2 and chips (y) are $3. Your mom gave you $20 for snacks, but she wants change back.

• 2x + 3y ≥ 20

• 2x + 3y > 20

• 2x + 3y < 20

• 2x + 3y ≤ 20

Dad pays you $10 for doing your chores (x) and you also earn $20 tutoring (y) your neighbor. How much work must you do before you have earned exactly $150 for beats?

• 10x + 20y ≤ 150

• 10x + 20y ≥ 150

• 10x + 20y = 150

• 10x + 20y > 150

It costs $30 to fill your tank with gas (x) and you spend on average $75 every time you go to the grocery store (y). Your budget requires you to spend under $350 per month on gas and groceries.

• 30x + 75y < 350

• 30x + 75y > 350

• 30x + 75y = 350

• 30x + 75y ≥ 350

If each homework assignment (x) takes 30 minutes and each chore (y) takes you 15 minutes to complete, what combinations of responsibilities will have you online gaming with your friends in less than 2 hours?

• 30x + 15y < 2

• 30x + 15y > 2

• 30x + 15y < 120

• 30x + 15y > 120

You either can listen to music for x minutes or a podcast for y minutes or a combination of both on your drive to school, but you always make it to school in 30 minutes or less.

• x + y ≤ 30

• x + y ≥ 30

• x + y < 30

• x + y > 30

The price of lashes (x) are $12 each and lip gloss (y) is $8 each, and you want to spend your birthday gift card at Ulta on those items. This gives you a $50 maximum allowance for lashes and glosses.

• 12x + 8y < 50

• 12x + 8y > 50

• 12x + 8y ≥ 50

• 12x + 8y ≤ 50