Solving Word Problem Involving Factoring

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

Nathan has a rectangular picture frame with an area of (𝑥²+ 5𝑥 + 6) sq inches. Which of the following is the correct representation of the area using algebra tiles, x², x and 1, shown at the left?

• 
• 
• 
• 

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?

• 
• 
• 
• 

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)

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

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

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

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

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?

• 
• 
• 
• 

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