Circles in general form: complete the square and graph
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Milo rewrites the circle of a pizza and starts with x² + 12x. What number completes the square?
Noah rewrites the circle of a drum top and starts with x² − 18x. What number completes the square?
Use the picture in question 1.
Pia rewrites the circle of a cake and starts with y² + 14y. What number completes the square?
Read this first
Use this
The x terms and the y terms each drawn as a square with a missing corner, beside the grid.
Tala writes the edge of a clock face as x² + y² − 4x + 6y − 12 = 0. Where is the center?
Zee writes the edge of a pizza as x² + y² + 8x − 2y + 8 = 0. Where is the center?
Ari writes the edge of a pond as x² + y² − 10x − 4y + 20 = 0. Where is the center?
Bo writes the edge of a drum top as x² + y² + 6x + 10y + 18 = 0. Where is the center?
Jun finishes completing the square: x² − 12x + 36. Which bracket squared is it?
- (x − 24)²
- (x + 6)²
- (x − 12)²
- (x − 6)²
Kira finishes completing the square: y² + 10y + 25. Which bracket squared is it?
- (y + 10)²
- (y + 20)²
- (y + 5)²
- (y − 5)²
Luz finishes completing the square: y² − 2y + 1. Which bracket squared is it?
Use the picture in question 9.
- (y − 1)²
- (y + 1)²
- (y − 2)²
- (y − 4)²