REVIEW QUIZ 2nd P.T.

1. Which of the following expressions are not examples of linear inequalities in two variables?

• -x > 2y + 7

• 13x - 4x = 21

• 9x + 3y ≥ 24

• 13𝑥 − 24𝑦 < 32

2. 2. Which of the following is true about the graph of linear inequalities?

• A. it is a line

• B. it is a parabola

• C. it is a curve

• D. it is a half-plane

3.Determine the ordered pair that satisfies the solution to the system of linear inequalities in two variables 4𝑥 − 2𝑦 ≤ 3 and 2x − y ≤ 1.

• (7, 8)

• (3, −6)

• (−2, −5)

• (0, -4)

4.Which of the following represents the graph of y≥−x+1?

• 
• 
• 
• 

Denise makes home decorations. It takes her 2 hours to make a bouquet and 1 hour to make a basket. She can work no more than 40 hours per week. The cost to make one bouquet is Php120 and the cost to make a basket is Php100. She can afford to spend no more than Php3600 per week.

Q. Which System of linear Inequalities represents the situation?

• { 2𝑥 − 𝑦 ≤ 40 :120𝑥 − 100𝑦 ≤ 3600

• { 2𝑥 + 𝑦 < 40:120𝑥 + 100𝑦 < 3600

• { 2𝑥 − 𝑦 ≥ 40:120𝑥 − 100𝑦 ≥ 3600

• { 5𝑥 − 𝑦 < 6:3𝑥 + 3𝑦 > 6

Denise makes home decorations. It takes her 2 hours to make a bouquet and 1 hour to make a basket. She can work no more than 40 hours per week. The cost to make one bouquet is Php120 and the cost to make a basket is Php100. She can afford to spend no more than Php3600 per week.

Q: If Denise made 10 bouquets, what is the maximum number of baskets that she made?

• 5

• 10

• 15

• 20

James is asked what inequality symbol to be used to translate at most in the mathematical sentence 5 times a number y plus 2 times a number x is at most

15. His answer is <. is he correct?

• Yes, because the symbol for at most is <.

• Yes, because the symbol for at most is ≤.

• No, because the symbol for at most is ≥.

• No, because the symbol for at most is >.

Point (2, 3) is a solution of which of the following system of linear inequalities?

• { 3𝑥 + 3𝑦 ≥ −9

  3𝑥 + 3𝑦 > 6

• { 3𝑥 + 𝑦 < 4

  2𝑥 + 3𝑦 > 6

• { 4𝑥 + 𝑦 < 1

  3𝑥 + 3𝑦 > 6

• { 5𝑥 − 𝑦 < 6

  3𝑥 + 3𝑦 > 6

Find the ordered pair that satisfies the system of inequalities 2𝑥 + 𝑦 > 4

and 𝑥 – 𝑦 ≤ 2

• (2, 4)

• (5, -2)

• (2, -3)

• (-2, -2)

10.Which of the ordered pairs satisfy both 3x − y < 10 and x + 6y ≥ 15?

• (-3, -3)

• (9, 1)

• (-6, 6)

• (7, -4)