Answer:
1. 18x² - 9x = 7
- standard form: 18x² - 9x - 7 = 0
- a = 18
- b = -9
- c = -7
2. y² + 15y = 8y
y² + 15y - 8y = 0
- standard form: y² + 7y = 0
- a = 1
- b = 7
- c = 0
3. 20 - x² = x
20 - x² - x = 0
-x² - x + 20 = 0
-1(-x² - x + 20 = 0)
- standard form: x² + x - 20 = 0
- a = 1
- b = 1
- c = -20
4. 0 = p² - 7p
-p² + 7p = 0
-1(-p² + 7p = 0)
- standard form: p² - 7p = 0
- a = 1
- b = -7
- c = 0
5. m² = 16
- standard form: m² - 16 = 0
- a = 1
- b = 0
- c = -16
6. -25t² + 4 = 0
-1(-25t² + 4 = 0)
- standard form: 25t² - 4 = 0
- a = 25
- b = 0
- c = -4
7. (x + 3)² = 1
(x + 3)(x + 3) = 1
x² + 3x + 3x + 9 = 1
x² + 6x + 9 - 1 = 0
- standard form: x² + 6x + 8 = 0
- a = 1
- b = 6
- c = 8
8. -3a = a² + 9
-3a - a² - 9 = 0
-a² - 3a - 9 = 0
-1(-a² - 3a - 9 = 0)
- standard form: x² + 3a + 9 = 0
- a = 1
- b = 3
- c = 9
9. n² - 4 = 5(n - 3)
n² - 4 = 5n - 15
n² - 4 - 5n + 15 = 0
- standard form: n² - 5n + 11 = 0
- a = 1
- b = -5
- c = 11
10. 5j(j - 3) - 4 = j - 6
5j² - 15j - 4 = j - 6
5j² - 15j - 4 - j + 6 = 0
- standard form: 5j² - 16j + 2 = 0
- a = 5
- b = -16
- c = 2
