Solving Real Life Problems Involving Factors of Polynomials

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

Tags

CCSS.HSA.CED.A.1

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

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

• 10

• 12

• 14

• 16

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

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

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

• 
• 
• 
• 

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

Tags

CCSS.HSA.APR.D.6

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

Tags

CCSS.HSA.APR.C.4

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

Tags

CCSS.HSA.APR.C.4

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)

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

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