Mathematics 8 Quiz

The following expressions are examples of linear inequalities in two variables EXCEPT:

• 𝑥 > 2𝑦 + 7

• 9𝑥 + 3𝑦 ≥ 24

• 13𝑥 − 4𝑦 = 21

• 13𝑥 − 24𝑦 < 32

What is the graph of linear inequalities in two variables?

• Half-plane

• Half of parabola

• Parabola

• Straight line

For what possible values of x and y will make the inequality 2x + y > 6 true?

• 2,-5

• (3,-2)

• 1,3

• (3,2)

Which of the following mathematical statements represents the "the sum of the ages of Bryan (B) and Chris (C) is greater than seventeen?"

• B + C > 17

• B + C < 17

• B + C ≥ 17

• B + C ≤ 17

Alex bought 2 cakes and 3 candles for her birthday. The total amount she paid was at most Php1,200.00. If 𝑚 represents the number of cakes and 𝑛 the number of candles, which of the following mathematical statements represents the given situation?

• 2𝑚 + 3𝑛 > 1200

• 2𝑚 + 3𝑛 < 1200

• 2𝑚 + 3𝑛 ≥ 1200

• 2𝑚 + 3𝑛 ≤ 1200

Which of the following is a system of linear inequalities in two variables?

• 
• 
• 
• 

Which of the following is NOT a solution of the system of linear inequalities in two variables - x + 4y ≥ -5 and 5x + 2y > 8?

• (-3,-3)

• (5,6)

• (2,1)

• (3,0)

Jopay is selling bread and pudding to earn money. Each bread costs 𝑃2 and each pudding costs 𝑃3. She needs to sell at least 50 pieces of bread and needs to earn at least 𝑃500. Let 𝑥 be the number of breads she needs to sell and 𝑦 be the number of puddings. Which of the following can best represent "She needs to sell at least 50 pieces of bread"?

• x ≥50

• y ≥50

• x ≤50

• y ≤50

In the situation:

Jopay is selling bread and pudding to earn money. Each bread costs 𝑃2 and each pudding costs 𝑃3. She needs to sell at least 50 pieces of bread and needs to earn at least 𝑃500. Let 𝑥 be the number of breads she needs to sell and 𝑦 be the number of puddings. Which of the following system of linear inequalities in two variables to represent the situation?

• 
• 
• 
• 

In the situation:

Jopay is selling bread and pudding to earn money. Each bread costs 𝑃2 and each pudding costs 𝑃3. She needs to sell at least 50 pieces of bread and needs to earn at least 𝑃500. Let 𝑥 be the number of breads she needs to sell and 𝑦 be the number of puddings.

At least how many breads and puddings can Jopay sell?

• 50 breads and 50 puddings

• 50 breads and 100 puddings

• 100 breads and 100 puddings

• 75 breads and 50 puddings