Factor perfect squares and the difference of squares
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Jun factors 4x² − 81 as a difference of squares. Which answer is right?
- (4x − 81)(4x + 81)
- (2x − 9)²
- (2x − 9)(2x + 9)
- (4x − 9)(4x + 9)
Kira sees 9x² − 25 as one square minus another. Which is 9x² − 25 factored?
- (9x − 5)(9x + 5)
- (3x − 5)(3x + 5)
- (9x − 25)(9x + 25)
- (3x − 5)²
Luz draws 16x² − 49 as a square with a corner cut out. Which is 16x² − 49 factored?
- (4x − 7)²
- (16x − 7)(16x + 7)
- (4x − 7)(4x + 7)
- (16x − 49)(16x + 49)
Milo checks four answers for 49x² − 4. Which one is 49x² − 4 factored?
- (7x − 2)²
- (49x − 2)(49x + 2)
- (49x − 4)(49x + 4)
- (7x − 2)(7x + 2)
Noah wants 9x² + ▢x + 16 to be a perfect square with a plus sign. What number goes in the box?
Pia fills the gap so that 4x² + ▢x + 49 is a perfect square (plus sign). What number goes in the box?
Ren is one tile short of a square: 16x² + ▢x + 25, with a plus sign. What number goes in the box?
Tala makes 36x² + ▢x + 25 a perfect square with a plus sign. What number goes in the box?
Zee sorts four trinomials into squares and not squares. Which one is a perfect square?
- 9x² − 42x − 49
- 8x² − 42x + 49
- 9x² − 21x + 49
- 9x² − 42x + 49
Bo has four tile patterns, and only one makes a square. Which trinomial is a perfect square?
- 24x² − 40x + 16
- 25x² − 40x − 16
- 25x² − 40x + 16
- 25x² − 20x + 16