Factor perfect squares and the difference of squares
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Jun races a calculator and wins. What is 53² − 47²?
Kira works out 38² − 32² with no calculator at all. What is 38² − 32²?
Milo beats a friend at mental math with 47² − 43². What is 47² − 43²?
Noah factors 25x² − 36y², which has two letters. Which answer is right?
- (25x − 6y)(25x + 6y)
- (25x − 36y)(25x + 36y)
- (5x − 6y)(5x + 6y)
- (5x − 6y)²
Pia sees two squares in 49x² − 9y². Which is 49x² − 9y² factored?
- (49x − 9y)(49x + 9y)
- (7x − 3y)(7x + 3y)
- (7x − 3y)²
- (49x − 3y)(49x + 3y)
Ren draws 4x² − 121y² as a square with a square cut out. Which is 4x² − 121y² factored?
- (4x − 11y)(4x + 11y)
- (4x − 121y)(4x + 121y)
- (2x − 11y)²
- (2x − 11y)(2x + 11y)
Tala checks four answers for 81x² − 16y². Which one is 81x² − 16y² factored?
- (9x − 4y)(9x + 4y)
- (81x − 4y)(81x + 4y)
- (81x − 16y)(81x + 16y)
- (9x − 4y)²
Zee cuts a 3-inch square from the corner of a square card x inches wide. The leftover x² − 9 becomes a rectangle. If x = 10, how long is its longer side?
Ari snips a 5-inch square off a square quilt patch x inches wide. The rest, x² − 25, is sewn into a rectangle. If x = 14, how long is its longer side?
Esme cuts a 9-inch square from a square poster board x inches wide. The rest, x² − 81, is rearranged into a rectangle. If x = 20, how long is its longer side?