Name ____________________
Time: ________
Date ___ / ___ / ___
Score ________
AddRoots (Number Dojo Level 288)
High School Worksheet Set E
Instructions: Give yourself 5 minutes to complete as many problems as you can. Score this worksheet like a
Number Sense test, giving yourself 5 points for every correct answer, less 4 points for every skipped or incorrect
answer. High score is a 200.
1)
The sum of the roots of n2 + n - 12 = 0 is ____
21) The sum of the roots of 2x2 - 5x = 3 is
2)
The sum of the roots of x2 + 14x + 49 = 0 is ___
22)
3)
The sum of the roots of 4x2 + 3x - 9 = 0 is ____
23)
4)
The sum of the roots of x2 – 10x = 6 is _____
24)
5)
The sum of the roots of x2 - 8x + 4 = 0 is ____
25)
6)
The sum of the roots of x2 - 5x - 36 = 0 is ____
26)
7)
The sum of the roots of 2x2 - 11x - 1 = 0 is ___
27)
8)
The sum of the roots of x – 13x + 22 = 0 is ___
28)
9)
The sum of the roots of 6x2 + x - 5 = 0 is ____
29)
10) The sum of the roots of 3m2 - m - 3 = 0 is
30)
11)
____
The sum of the roots of n2 + 3n - 4 = 0 is ____
The sum of the roots of 9n2 - 16 = 0 is _____
The sum of the roots of 3x2 - 7x + 5 = 0 is ____
Sum of the roots of ax2 + 12x + 10 = 0 is -3. a = ___
The sum of the roots of 2x2 + bx + 10 = 0 is 5. b = _
The sum of the roots of 9x3 + x2 + 10x - 5 = 0 is _
The distance between the roots of |x - 4| = 2 is __
The distance between the roots of |x - 7| = 5 is __
P & Q are the roots of f(x) = 6x2 - 17x - 10. P + Q = _
P & Q are the roots of f(x) = 2x2 - 7x - 4. P + Q = ___
31)
12)
13)
14)
15)
16)
17)
18)
19)
20)
2
32)
33)
34)
35)
36)
37)
38)
39)
40)
______
The sum of the roots of 3x2 - 2x = -1 is _____
The sum of the roots of 2x2 + 3x = 5 is _____
The sum of the roots of 3x2 + 8x - 3 = 0 is ____
The sum of the roots of 4x2 - x + 7 = 0 is ____
The sum of the roots of 7x2 - 3x + 2 = 0 is ____
The sum of the roots of 3x3 + 7x + 5 = 0 is ___
The sum of the roots of 7x2 - 4x + 3 = 0 is ____
The sum of the roots of 3x2 + 7x - 1 = 0 is ____
The sum of the roots of x2 - 6x + 9 = 0 is ____
The sum of the roots of (2x + 3)2 = 0 is _____
The sum of the roots of |x - 1| = 3 is ______
The sum of the roots of (x + 5)3 = 0 is ______
The sum of the roots of 9x2 - 6x = -1 is _____
The sum of the roots of |x + 2| - 4 = 0 is ____
The sum of the roots of 7x2 + 3x - 1 = 0 is ____
The sum of the roots of 2x2 - 3 = 4 is ______
The sum of the roots of 6x2 + x + 3 = 0 is ____
The sum of the roots of 9x2 + 5x - 1 = 0 is ____
The sum of the roots of (2x + 5)2 - 1 = 0 is ___
- - - - - - - - - - - - - - - Fold the bottom portion under - - - - - - - - - - - - - - Answer Key
1)
2)
3)
4)
5)
6)
7)
8)
-1
- 14
- 3/4 or - .75
10
8
5
11/2 or 5.5
13
9)
10)
11)
12)
13)
14)
15)
16)
- 1/6
1/3
-3
0
7/3
4
- 10
- 1/9
17)
18)
19)
20)
21)
22)
23)
24)
4
10
17/6
7/2 or 3.5
5/2 or 2.5
2/3
- 3/2 or - 1.5
- 8/3
25)
26)
27)
28)
29)
30)
31)
32)
¼ or .25
3/7
- 7/3
4/7
- 7/3
6
-3
2
© 2016 by Number Dojo, www.NumberDojo.com
33)
34)
35)
36)
37)
38)
39)
40)
- 15
2/3
-4
- 3/7
0
- 1/6
- 5/9
-5