Linear Inequalities Quiz

Which of the following expressions is not an example of linear inequalities in two variables?

• -𝑥 > 2𝑦 + 7

• 9𝑥 + 3𝑦 ≥ 24

• 13𝑥 − 4𝑥 = 21

• 13𝑥 − 24𝑦 <3

Peter is multiplying −3 to the linear inequality in two variables, 4𝑥 − 6𝑦 ≥ 5 his answer is −12𝑥 + 18𝑦 ≤ −15. Is he right?

• Yes, because the product of the terms is correct and the direction of the inequality symbol is reversed.

• Yes, because the product of the terms is correct and the direction of the inequality symbol does not change.

• No, because multiplying a negative integer reverses only the direction of the inequality symbol.

• No, because multiplying a negative integer does not change the direction of the inequality symbol.

Which of the following verbal phrases DOES NOT represent a linear inequality in two variables?

• the total number of male and female students in the learning center is 20

• the total number of male and female students in the learning center is at most 20

• the total number of male and female students in the learning center is greater than 20

• the total number of male and female students in the learning center is less than or equal to 20

Which is the correct inequality for the shaded region?

• 𝑦 = − 𝑥 −1

• 𝑦 > −𝑥 −1

• 𝑦 < − 𝑥 + 1

• 𝑦 > 𝑥 - 1

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

• 3𝑥 + 𝑦 ≤ 3

• 3𝑥 - 𝑦 ≤ 3

• 3𝑥 - 𝑦 < 15

• 3𝑥 + 𝑦 < 15

Jasmine plans to sell hotdogs for 𝑃6 and hard-boiled eggs for 𝑃10. If she sells 15 hard-boiled eggs, what is the maximum number of hotdogs she should sell to have total sales of at least 𝑃260?

Richelyn goes to a store to buy pens and pencils. She has 𝑃50 in her pocket, and she's planning to buy pens for 𝑃8 each and pencils for 𝑃12 each. If she buys 3 pens, what is the maximum number of pencils she can buy to the nearest whole number?

Ana and her mother went to the market to buy fish for their picnic. The fish that they want to buy has a price of 𝑃300 per kilo, but the vendor is willing to give them a discount of 𝑃50. What function best describes the relation if y represents the amount of money they will pay and x represents the weight of the fish in kilograms?

Which of the following relations is a function?

• {(Mickey, mouse), (Bugs, Bunny), (Cosmo, Wanda)}

• {(notebook, pen), (paper, pen), (pen, paper), (pen, notebook)}

• {(January,1), (February,1), (March,1), (January,2), (February,2)}

• {(trashcan, trash), (broom case, broomstick), (broom case, dustpan)}

Maria, a Grade 8 student loves to share snacks to her closest friends as shown through these pairs: {(Ana, sandwich), (Juan, sandwich), (Peter, sandwich)}, which of the following correspondence best describes the given set?

• Many-to-Many

• One-to-Many

• Many-to-One

• One-to-One