PROBLEM SOLVING INVOLVING FACTORS OF POLYNOMIAL

PROBLEM SOLVING INVOLVING FACTORS OF POLYNOMIAL

Quarter 1 Module 2 Week 2

Performance Tasks

20 items

Interactive Live Quiz

Answer the following questions during the live Lesson. The questions in this lesson will be directed by your teacher in real time.

Multiple Choice

William needs to ride a bicycle in order to reach the school. The distance he needs to travel is (𝑥² + 3𝑥 − 10) km and the time taken by the bike to covered the distance is (𝑥−2) h, for him not to be late. Find the speed of the bike in km/h?

• 2𝑥 − 5 km/hr

• 𝑥 − 5 km/hr

• 𝑥 + 5 km/hr

• 2𝑥 + 5 km/hr

Multiple Choice

Betty is twice as old as Lala. Three years ago, the product of their ages is four more than twice the age of Lala now.

Three years ago, what was the product of their ages?

• 10

• 12

• 14

• 16

Multiple Choice

Betty is twice as old as Lala. Three years ago, the product of their ages is four more than twice the age of Lala now.

How old is Lala at present?

• 2

• 3

• 5

• 8

Multiple Choice

Betty is twice as old as Lala. Three years ago, the product of their ages is four more than twice the age of Lala now.

How old is Betty at present?

• 4

• 6

• 8

• 10

Multiple Choice

Betty is twice as old as Lala. Three years ago, the product of their ages is four more than twice the age of Lala now.

Which of the following tables gives correct representation of the problem?

Multiple Choice

The product of Ivan and Ethan’s ages is (2𝑥² − 𝑥 − 1). If Ethan is (𝑥 − 1) years old, how old is Ivan?

• 𝑥 + 1

• 𝑥 + 2

• 2𝑥 + 1

• 2𝑥 + 3

Multiple Choice

If the area of a square is (𝑥²+6𝑥+9) sq. units,

By factoring, what is the measure of its side?

• (𝑥+1) units

• (𝑥+3) units

• (𝑥+6) units

• (𝑥+9) units

Multiple Choice

If the area of a square is (𝑥²+6𝑥+9) sq. units. What type of factoring must be applied in the given problem?

• difference of squares

• difference of cubes

• perfect square trinomial

• general trinomial

Multiple Choice

Nathan has a rectangular picture frame with an area of (𝑥²+5𝑥+6) square inches. If the length is (x + 3) inches, what is the measure of the width?

• (𝑥+1) in

• (𝑥+2) in

• (𝑥+3) in

• (𝑥+5) in

Multiple Choice

Nathan has a rectangular picture frame with an area of (𝑥²+5𝑥+6) square inches.

Which of the following gives correct factors of the area?

• (𝑥+1) (𝑥+1)

• (𝑥+1) (𝑥+2)

• (𝑥+1)(𝑥+3)

• (𝑥+2)(𝑥+3)

Multiple Choice

Nathan has a rectangular picture frame with an area of (𝑥²+ 5𝑥 + 6) sq inches.

Which of the following are the correct dimensions of the area?

Multiple Choice

Which of the following strategies will help you solve word problems?

• a. Draw an illustration

• b. Make a table

• c. Solve algebraically

• d. All of the above

Multiple Choice

Which of the following strategies will help you solve word problems?

• a. Draw an illustration

• b. Make a table

• c. Solve algebraically

• d. All of the above

Multiple Choice

In a big square field with side 𝑥 meters, Rose plans to design a 10 m × 10 m landscape in one corner. Find the area of the field which is not affected by the project.

Which of the following is the correct illustration of the problem?

Multiple Choice

A 5 ft by 5 ft landscaping is to be done at the center of a square mini park with side x ft.

Which of the following is the correct illustration of the problem?

Multiple Choice

The rectangular urban garden has an area of (2𝑥²+7𝑥+5)𝑚².

In which of the following is the correct representation of the dimensions?

Multiple Choice

The rectangular urban garden has an area of (2𝑥²+7𝑥+5)𝑚².

Which of the following gives correct factors of the area?

• (2𝑥−5)(𝑥−1)

• (2𝑥−5)(𝑥+1)

• (2𝑥+5)(𝑥−1)

• (2𝑥+5)(𝑥+1)

Multiple Choice

The rectangular urban garden has an area of (2𝑥²+7𝑥+5)𝑚².

What is the length of the rectangular urban garden if x+1 represents the width?

• (2𝑥−5) m

• (2𝑥+5) m

• (5𝑥+2) m

• (5𝑥−2) m

Multiple Choice

In a big square field with side 𝑥 meters, Rose plans to design a 10 m × 10 m landscape in one corner. Find the area of the field which is not affected by the project.

What is the answer to the problem?

• (𝑥² + 10) 𝑚²

• (𝑥² + 100) 𝑚²

• (𝑥² − 100) 𝑚²

• (100 − 𝑥²) 𝑚²

Multiple Choice

In a big square field with side 𝑥 meters, Rose plans to design a 10 m × 10 m landscape in one corner. Find the area of the field which is not affected by the project.

What is the answer to the problem?

• (𝑥² + 10) 𝑚²

• (𝑥² + 100) 𝑚²

• (𝑥² − 100) 𝑚²

• (100 − 𝑥²) 𝑚²

Written Works

Directions: Complete these tasks and write your answers on the Activity Worksheet Provided