- 1. A square window frame has a length of ( 𝑥 + 3 ) (x+3) cm on each side. What is the expression for the area of the frame?
A) x 2 +9
B) x 2 +3x+9
C) 𝑥 2 + 3 x 2 +3
D) x 2 +6x+9
- 2. A rectangular garden is designed as ( 𝑥 + 5 ) ( 𝑥 − 5 ) (x+5)(x−5) meters. What does the area represent?
A) x 2 −25
B) x 2 +10x+25
C) x 2 −10x+25
D) x 2 +25
- 3. Which of the following represents the square of a binomial?
A) (x+1)(x+2)
B) (x+4)(x−4)
C) (x−5)(x+5)
D) (2x+3) 2
- 4. A student simplified ( 𝑥 − 6 ) 2 (x−6) 2 as 𝑥 2 − 12 𝑥 + 36 x 2 −12x+36. What did the student use?
A) Difference of squares
B) Square of a binomial pattern
C) FOIL method
D) General multiplication
- 5. What is the result when you expand ( 3 𝑥 + 2 ) 2 (3x+2) 2 ?
A) 9 𝑥 2 + 12 𝑥 + 4 9x 2 +12x+4
B) 6x 2 +4
C) 9x 2 +6x+4
D) 9x 2 +4
- 6. Mia wants to calculate the area of a square mat that has a side length of ( 𝑥 − 7 ) (x−7) cm. Which expression shows the total area?
A) x 2 −7x
B) x 2 −49
C) x 2 −14x+49
D) 𝑥 2 + 49 x 2 +49
- 7. Which pair of binomials will produce a difference of squares when multiplied?
A) (x−4) 2
B) (x+5) 2
C) (2x+1)(2x−1)
D) (x+3)(x+2)
- 8. Which expression is not a special product?
A) ( 𝑥 + 4 ) 2 (x+4) 2
B) (x+2)(x+5)
C) (x−3)(x+3)
D) (2x−1)(2x+1)
- 9. Your class is building a square photo board with each side measuring ( 𝑥 + 2 ) (x+2) meters. What is the total area of the photo board?
A) x 2 +2x
B) x 2 +2
C) x 2 +6
D) x 2 +4x+4
- 10. Which of the following shows the expanded form of ( 5 𝑥 − 3 ) 2 (5x−3) 2 ?
A) 10x 2 −6x+9
B) 25x 2 +30x+9
C) 25x 2 −15x+9
D) 25x 2 −30x+9
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