Linear Inequalities in Two Variables Quiz

Which of the following is a linear inequality in two variables?

• 𝑥 + 𝑦 = 2

• 𝑥 + 5 > 8

• 3𝑚 + 5𝑛 < 10

• 3𝑞 – 2𝑞 ≠ 6

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Tags

CCSS.HSA.REI.D.12

Which point below is NOT a part of the solution set?

• (0, 0)
• (0, 1)
• (-100, -3)
• (5, 10)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

What is the boundary line (symbol) of the graph?

• less than
• less than or equal to 
• greater than 
• greater than or equal to 

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Which of the following inequalities illustrate “the sum of 𝑥 and 𝑦 is at most 15”?

• 𝑥 + 𝑦 = 15

• 𝑥 + 𝑦 > 15

• 𝑥 + 𝑦 ≤ 15

• 𝑥 + 𝑦 ≥ 15

Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables

• 8x + 10y < 162
• 8x + 10y > 162
• 8x + 10y ≤ 162
• 8x + 10y ≥ 162

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Which of the following inequality has (5, 1) as a solution?

• 3𝑥 + 𝑦 ≤ 3

• 3𝑥 – 𝑦 ≤ 3

• 3𝑥 – 𝑦 < 15

• 3𝑥 + 𝑦 < 15

For what possible values of 𝑥 and 𝑦 will make the inequality 5𝑥 + 3𝑦 > 12 true?

• ( 0, 3 )

• ( 3, -1 )

• ( 1, 1 )

• ( 3, 0 )

Bam bought 4 mangoes and 7 guavas. The total amount she paid was at least 𝑃ℎ𝑝 230. If 𝑥 represents the cost of each mango and 𝑦 the cost for each guava, which of the following mathematical statements represents the given situation?

• 4𝑥 + 7𝑦 ≥ 230

• 4𝑥 + 7𝑦 ≤ 230

• 4𝑥 + 7𝑦 > 230

• 4𝑥 + 7𝑦 < 230

SMJK JIT SIN II holds a charity concert in a hall. Two types of concert ticket, VIP and Special, will be sold among parents. The number of VIP ticket sold is x and the number of Special ticket sold is y. The hall can provide not more that 1000 seats. The number of Special tickets must exceed twice the number of VIP tickets.