Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 1
1.
x2 + 8x - 6 = 0
2.
x2 + 6x + 9 = 0
3.
2x2 - 20x - 64 = 0
4.
x2 + 16x + 24 = 0
5.
x2 + 4x + 10 = 0
6.
x2 + 8x + 7 = 0
7.
x2 + 24x - 16 = 0
8.
x2 + 4x - 3 = 0
What values would be placed in the boxes to create perfect square trinomials?
9.
x2 + 16x +
10.
x2 - 3x +
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 1 ANSWERS
1.
x = - 4 ± √22
2.
x=-3
3.
x = 5 ±√57
4.
x = - 8 ± 2√10
5.
x = - 2 ± i√6
6.
x=-1,x=-7
7.
x = - 12 ± 4√10
8.
x = - 2 ± √7
9.
64
10.
9/4
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 2
1.
x2 + 20x - 96 = 0
2.
x2 + 4x + 3 = 0
3.
2x2 - 8x - 192 = 0
4.
x2 + 8x + 5 = 0
5.
x2 + 18x + 65 = 0
6.
x2 + 18x + 56 = 0
7.
x2 + 12x - 28 = 0
8.
x2 + 6x - 27 = 0
What values would be placed in the boxes to create perfect square trinomials?
9.
x2 + 6x -
10.
x2 + 10x +
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 2 ANSWERS
1.
x = 4 , x = - 24
2.
x=-1,x=-3
3.
x = 12 , x = - 8
4.
x = - 4 ± √11
5.
x = - 5 , x = - 13
6.
x = - 4 , x = - 14
7.
x = 2 , x = - 14
8.
x=3,x=-9
9.
-9
10.
25
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 3
1.
x2 + 10x - 56 = 0
2.
x2 + 8x + 1 = 0
3.
3x2 - 6x - 144 = 0
4.
x2 - 4x + 2 = 0
5.
x2 + 6x - 16 = 0
6.
x2 + 2x - 80 = 0
7.
x2 + 4x - 60 = 0
8.
x2 + 8x - 9 = 0
What values would be placed in the boxes to create perfect square trinomials?
9.
x2 + 2x -
10.
x2 + 6x -
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 3 ANSWERS
1.
x = 4 , x = - 14
2.
x = - 4 ± √15
3.
x=8,x=-6
4.
x = 2 ± √2
5.
x=2,x=-8
6.
x = 8 , x = - 10
7.
x = 6 , x = - 10
8.
x=1,x=-9
9.
-1
10.
-9
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 4
1.
x2 + 8x - 33 = 0
2.
x2 + 6x + 7 = 0
3.
2x2 - 8x - 64 = 0
4.
x2 - 4x - 4 = 0
5.
x2 + 2x - 2 = 0
6.
x2 + 4x + 10 = 0
7.
x2 + 14x - 72 = 0
8.
x2 + 4x - 21 = 0
What values would be placed in the boxes to create perfect square trinomials?
9.
x2 - 4x -
10.
x2 + 8x +
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 4 ANSWERS
1.
x = 3 , x = - 11
2.
x = - 3 ± √2
3.
x=8,x=-4
4.
x = 2 ± 2√2
5.
x = - 1 ± √3
6.
x = - 2 ± i√6
7.
x = 4 , x = - 18
8.
x=3,x=-7
9.
-4
10.
16
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 5
1.
x2 + 16x - 57 = 0
2.
x2 + 6x - 7 = 0
3.
3x2 - 18x - 81 = 0
4.
x2 - 4x + 6 = 0
5.
x2 + 20x + 40 = 0
6.
x2 + 2x - 8 = 0
7.
x2 - 16x + 15 = 0
8.
x2 - 12x + 32 = 0
What values would be placed in the boxes to create perfect square trinomials?
9.
x2 + 4x -
10.
x2 - 6x +
Tons of Free Math Worksheets at: © www.mathworksheetsland.com Name: ________________________
Date ____________
Topic: Completing the Square - Worksheet 5 ANSWERS
1.
x = 3 , x = - 19
2.
x=1,x=-7
3.
x=9,x=-3
4.
x = 2 ± i√2
5.
x = - 10 ± 2√15
6.
x=2,x=-4
7.
x = 15 , x = 1
8.
x=8,x=4
9.
-4
10.
9
Tons of Free Math Worksheets at: © www.mathworksheetsland.com