Writing and Solving Inequalities and Systems of Inequalities

Jasmine is helping her mom with a small vegetable patch. Tomato plants are selling for $4 and pepper plants are selling for $3. They don't want to spend more than $60.

Which combination of tomato plants and pepper plants will they be able to purchase?

• 10 tomato plants and 9 pepper plants

• 5 tomato plants and 15 pepper plants

• 12 tomato plants and 6 pepper plants

• 6 tomato plants and 11 pepper plants

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Gabriela is the manager of a print shop. She needs to schedule employees to work no more than 300 person-hours per week. She has one 20 hour a week part-time employee. Each full-time employee works 40 hours per week. Which inequality will determine f, the number of full-time employees Gabriela can schedule to remain under the 300 person-hour per week limit?

• $20\ +\ 40f\ \le\ 300$

• $40\ +\ 20f\ \ge\ 300$

• $20\ +\ 40f\ \ge\ 300$

• $20f\ +\ 40\ <\ 300$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Amy has only $35. She is going to take a Lyft car downtown. Lyft charges $5 to order the car and $2 per mile. Which inequality shows the maximum number of miles Amy can travel? Let x = number of miles

• $2\ +\ 5x\ \le\ 35$

• $5\ +\ 2x\ >\ 35$

• $5\ +\ 2x\ \le\ 35$

• $2x\ -\ 5\ \le\ 35$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

You downloaded a video game to your phone. You have a 60-minute free trial of the same. It take 2 minutes to set up the game and 5 minutes to play each level. You want to find out how many levels you can play for free. Let L represent the number of levels played. Which inequality can be used to find how many levels of the game you can play in 60 minutes?

• $5L\ +\ 2\ \le\ 60$

• $2\ +\ 5L\ \ge\ 60$

• $7L\ \le\ 60$

• $5L\ -2\ \le\ 60$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Which inequality describes the graph?

•  $y\ <\ x\ -\ 2$  

•  $y\ \ge\ x\ +\ 2$  

•  $y\ \le\ x\ +\ 2$  

•  $y\ \le\ 2x$  

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Which inequality describes the graph?

• $y\ <\ 4\ -\ 3x$

• $y\ \ge\ 4\ -\ 3x$

• $y\ \le\ 4x\ +\ 3$

• $y\ \ge\ 3x\ -\ 4$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Which inequality describes the graph?

• $y\ \le\ x\ +\ 1$

• $y\ <\ -x\ +\ 1$

• $y\ \ge\ -x\ +\ \ 1$

• $y\ <\ -x$

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Which system of inequalities describes the graph?

• $\ y\ <\ -x\ -1$ and $y\ <\ -x\ -4$

• $y\ >\ -x\ -1$ $y\ <\ x\ -\ 4$

• $y\ \le\ -x\ +\ 4$ $\ y\ >\ -x\ +\ 1$

• $y\ >\ -x\ -1$ $y\ \ge\ x\ +\ 4$

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12