Linear Inequalities in Two Variables

Which inequality represents this situation? Sania is playing a phone game in which she pops balloons and slices fruit. She earns 7 points for popping balloons and 12 points for slicing fruit. She needs to score at least 650 points.

Michael is selling chocolate bars and orange juice in a carnival. Chocolate bars sell for 2.50 each, and orange juice sell for 3.50 each. If Michael wants to get more than 150, write an inequality showing the number of chocolate bars, b, and the number of orange juice, j, he must sell.

• 2.50b + 3.50m > 150

• 2.50b + 3.50m <150

• 2.50m + 3.50b > 150

• 2.50m + 3.50b <1

A factory produces p handphones of model X and r handphones of model Y. The number of handphones of model Y cannot exceed the number of handphones of model X by more than 150. Which linear inequality represents the situation?

A charity organization wants to distribute food packages and blankets to a disaster-stricken area. They can buy a food package, x, for $20 and a blanket, y, for $15. They have a budget of $5000.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

Student Council is selling wrapping paper p and cheescakes c for a fundraiser. The wrapping paper costs $5 per roll and the cheesecakes cost $15 each. Student Council wants to exceed $2000 in sales. Which inequality expresses the constraint for sales?

• p + c > 2000

• 5p + 15s > 2000

• p + s < 2000

• 5p + 15s < 2000

Molly is sewing some clothing. She has 66 yards of fabric to use. She uses 4 yards of fabric to make a short-sleeved shirt, x, and 16 yards of fabric to make a long-sleeved shirt, y.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

• 
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Jessi is raising money for her society club. T-shirt sell for RM10 each, and DIY accessories organizer sell for RM15 each. If Jessi wants to raise more than RM1500, write an inequality showing the number of T-shirt, t, and the number of ,a, she must sell.

• 10t + 15a > 1500

• 10t + 15a < 1500

• 10t + 15a ≥ 1500

• 10t + 15a ≤ 1500

The number of apples (a) more than twice the number of ponkans (p) is greater than 24.

• 2p + a > 24

• 2p + a < 24

• 2p - a > 24

• 2p + a ≥ 24

During a sale, all headphones cost $26 and all cell phone cases cost $14. Derrick is buying these products as gifts for his friends plans to spend at least $150.

For a school play, adults tickets a cost $12 and student tickets s cost $8. The drama club wants to collect at least $5000. Which inequality expresses the constraint on income?

• 12a + 8s < 5000

• 12a + 8s > 5000

• 12a + 8s < 5000

• 12a + 8s > 5000