4-5: Practice Quiz

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Which of the following is not a solution to this system of inequalities?

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Tags

CCSS.HSA.REI.D.12

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 3
• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.12

• Solid because the inequality includes "equal to"

• Solid because it is "greater than"

• Dashed because the slope is negative

• Dashed because y-intercept is negative

Tags

CCSS.HSA.REI.D.12

• Below the line because the inequality includes "less than"

• Below because it is a negative slope

• Above because the y-intercept is positive

• Above because the inequality does not include "equal to"

Tags

CCSS.HSA.REI.D.12

• yes

• no

• no solution

• yes

• no

• no solution

Write the system of inequalities:
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x + y ≤ 300
  7.5x + 5.5y ≥ 2000

• x + y < 300
  7.5x + 5.5y ≥ 2000

• x + y ≤ 300
  7.5x + 5.5y ≤ 2000

• x + y > 2000
  7.5x + 5.5y ≤ 300

Jonah is going to the store to buy candles. Small candles cost $3.50, and large candles cost $5.00. He needs to buy at least 20 candles and cannot spend more than $80.

Write a system of linear inequalities that represents the situation.