Writing Inequalities

Which of the following equations match the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, 20)
• (3, 5)
• (0, -2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.C.6

Allen enjoys gardening. Every sunflower plant he waters requires 0.7 liters of water, and every rose bush he waters requires 0.5 liters of water. Allen has a total 11 liters of water for these plants.  Write an inequality to represent the situation.

• 0.7s - 0.5r ≥ 11
• 0.7s + 0.5r ≥ 11
• 0.7s + 0.5r ≤ 11
• 0.7r + 0.5s ≤ 11

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

You are running the concession stand at a basketball game. You sell hot dogs for $2 and sodas for $0.75.  To cover overhead expenses, you need to make more than $180.  Write an inequality to find how many hot dogs and sodas you need to sell. Let x equal the number of hot dogs and y equal the number of sodas.

• y > x + 180
• x + y > 180
• 0.75x + 2y > 180
• 2x + 0.75y > 180

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Nina is playing arcade games that take tokens. She can afford to buy up to 26 tokens. Skee ball requires 1 token per game and pinball requires 2 tokens per game. Select the inequality in standard form that describes this situation. Use x for the number of skee ball games and y for the number of pinball.

• x + 2y ≤ 26
• x + 2y ≥ 26
• 2x + y ≥ 26
• 2x + y ≤ 26

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3