5. Blank - A. y = (4/3) x - 4 | y-intercepts at (0,-4) with a slope of (4/3) up to the x-intercept of (3,0).

7. Blank - A. 1/4 | slope of a line is measured by (y/x) or rise over run, how high(or low) over the distance traveled left or right.

8. Blank - D. Rise is -5, run is 4. | Like above, rise is the y-value and run is the x-value. y = 4 - (-1) and x = -2 - 2. (5 / -4)

9. Blank - D. -2 | Find the y-equation: y = -2x + 6

10. Blank - C. (0, 6) | See above equation.

11. Blank - D. (3, 0) | Extrapolate from the equation, so it starts at (0,6) - (1,4) - (2,2) - (3,0).

12. Blank - C. (0, 5) | Starting from (-1, 3) with a slope of (2/1) | (-2, 1) or (0, 5).

13. Blank - C. | The equation would give a line with the y-intercept at (0, 3) with a positive slope.

14. Blank - A. 2x + y - 3 = 0 | Put all the variables and numbers on side and set it to 0.

15. Blank - A. y + 2 = 3/5 (x - 10) | point-slope form is: y - y1 = m(x - x1) so fill in the blanks with the given variables.

16. Blank - D. y = 2x + 5 | y = mx + b where the slope is m and the y-intercept is b.

17. Blank - B. (3, 3) | The lines intercept at positive 3 in the direction and positive 3 in the y direction, can't really better explain that ;)

18. Blank - A. y = 5x | The y-intercept is at the origin, so no + or - at the end of the equation, and the slope is positive 5.

19. Blank - C. y = x - 4 | Positive slope of 1 with a y-intercept at -4.

20. Blank - B. y = 3/2 x + 5 | The y-intercept is at positive 5, with a slope of positive (3/2) from: (5-2) / (0+2).

Questions not mentioned above are correct.

All are correct, except:

5. A. Where x=0 we have y= -4. That's all we need to select the answer.

7. A. The run is 4 and the rise is 1. Hence 1/4.

8. D. Simple subtraction

9. D, because y = -2x + 6

10. C, because y=6 where x = 0

11. D, by substituting y = 0

12. C. Trivial.

13. C. That's the positively-sloped line with y-intercept 3.

14. A.

15. A.

16. D.

17. B. 6 - x = 2/3x + 1, so 5 = 5/3x. or x = 3. Substututing we get y=3.

18. A.

19. C.

20. B

This time it was quite a challenge. Not because of the difficulty of the questions, I'm not familiar with the terms used, had to use google to find out what I was supposed to do.

1. ok
2. ok
3. ok
4. ok
5. wrong (A)
6. ok
7. wrong (A)
8. wrong (D)
9. wrong (D)
10. wrong (C)
11. wrong (D)
12. wrong (C)
13. wrong (C)
14. wrong (A)
15. wrong (A)
16. wrong (D)
17. wrong (B)
18. wrong (A)
19. wrong (C)
20. wrong (B)

1B
2A
3C
4C
5A - set x to zero and only one answer fits
6C
7A - rise over run, 4-3/5-1 = 1/4
8D - 2+2=4, -1-4=-5
9D - 2x+y=6 => y=6-2x
10C - set x to zero and solve
11D - set y to zero and solve
12C - plug in the numbers to find the y-cept which is 5
13C - set x and y to zero to find the intercepts
14B - just algebra
15A - plug into the formula y-y1=m(x-x1)
16D - plug into formula y = mx+c
17B - by inspection
18A - first find the slope using rise over run, then plug first coordinate into point slope formula
19C - only C fits the intercepts
20B - find the slope and then plug in coordinates to find y-cept

Round 4 to be posted soon,
So What do you guys think of the contest so far?

It's not too bad, definitely different from most/all of the contests/draws/etc I've seen on here up until now.

Round 3 Answer
Reward:
3 Tickets awarded each.

Here are the answers.
--------------------------------------------------------------------------------
1.B
2.A
3.C
4.C
5.A
6.C
7.A
8.D
9.D
10.C
11.D
12.C
13.C
14.A
15.A
16.D
17.B
18.A
19.C
20.B
--------------------------------------------------------------------------------
Oh @ oasis789 i know you made a typo with 14.(b) while the answer is A
I will not take any points from you for that.

Round 4 to be posted soon

Round 4
Difficulty Level 4

*Incorrect/Blank*
2. C. 4 / (x^2) | [ (6x^3) / (3x^4) ] ^2 = [ (2 / x) ] ^2 = 4 / x^2

4. B. 4 | Square both sides - x + 10 sqrt x + 25 = x + 45 | Reduce it down - 10 sqrt x = 20 | sqrt x = 2 | x = 4

16. D. x sqrt 2 / 2y | Simplify - 3x / 3y sqrt 2 | eliminate the sqrt - 3x sqrt 2 / 6y | simplify - x sqrt 2 / 2y

*Correct*
1,3,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20

Not too many wrong this time around, from what I got.

1C correct
2C - square numerator and denominator, [36(x^6)]/[9(x^8)] = 4/(x^2)
3D correct
4B - square both sides, noting the square of the sum of two numbers. solve x + 25 + 10 sqrt x = x + 45 for x, x = 4.
5A correct
6B correct
7A correct
8A correct
9C correct
10C correct
11B correct
12D correct
13A correct
14C correct
15A correct
16D - simplify to x / (y * sqrt 2). Remove the sqrt 2 in denominator by multiplying with sqrt 2 / sqrt 2 to get (x * sqrt 2) / 2y
17C correct
18A correct
19B correct
20D correct

1. C. Correct
2. C. (2/x) ^ 2 = 4/(x^2)
3. D. Because square root x = 5
4. B. 2 + 5 = 7 = square root 49
5. A. Correct
6. B. Correct
7. A. Correct
8. A. Correct
9. C. Correct (the 5 looks like a 3 though)
10. C. Correct
11. B. Correct
12. D. Correct
13. A. Correct
14. C. Correct
15. A. Correct
16. D. sqrt(9x^2) / sqrt(18y^2) = sqrt(x^2) / sqrt(2y^2) =x / sqrt(2)*y = x*sqrt(2) / 2*y
17. C. Correct.
18. A. 9 + 36 = 45 = 9*5 = 3^2 * 5
19. B. Correct. because 225 + x^2 = 400 --> x^2 = 175 = 25*7 = 5^2 * 7
20. D. Correct, but C has the same value and is also correct.

1. ok
2. wrong (C)
3. ok
4. wrong (B)
5-15. ok
16. wrong (D)
17-20. ok

*Incorrect/Blank*

4. D. 4(b - 2)(b + 2) | Factor out the 4 and you're left with the answer

6. B. (q - 1)(q^2 + 2) | q^3 + 2q - q^2 - 2 | q^3 - q^2 + 2q - 2

8. C. 3s - 4 | Factor out a 2: 2 (3s^2 + 20s - 32) | Factor within the parentheses: 2 [ (s + 8) (3s - 4) ]

11. Too rusty, couldn't figure out without googling D: (but it's D since none of the other answers would work)*

12. D. r = 8, r = -1 | (r - 8) (r + 1)

13. A. z = 2 | (z - 2)^2

14. B. 0 | Set to 0: x^2 + 10x + 25 | Find discriminant: 10^2 - 4(1)(25) = 0

15. A. 0 | The discriminant is negative and has no real number solutions | 9 - 4(-4)(-28) = -439

16. A. Length = 20 inches, Width = 17 inches | x * (x - 3) = 340 | x^2 - 3x - 340 = 0 | (x -20)(x + 17)

17. A. Leg = 10 feet, Leg = 24 feet | 26^2 = x^2 + (x-14)^2 | 2x^2 - 28x - 480 = 0 | 2 (x - 24) ( x - 10)

18. A. Length = 10 meters, Width = 8 meters | 80 = x * (x + 2) | x^2 + 2x - 80 = 0 | (x + 10) (x - 8)

19. C. x = 3 | x^2 - 6x + 9 | (x - 3) (x - 3)*

20. D. y = -2 + sqrt 7, y = -2 - sqrt 7*

* - required some googling to find the answer, bad quadratic equation memories :(

*Correct*

1,2,3,5,7,9,10

Stupid quadratic equations, I swear I used to be good at them but I haven't had a math course in a few years...

No