Factoring
Solve the quadratic by factoring (x = ?)
x2 -6x = -9x + 28
x = 4, x = -7
Use the quadratic formula to solve. Express your answer in simplest form.
r2 + 10r + 25 = 0
r = -5
Solve the equation for all real solutions in simplest form
2y2 + 10y + 3 = 0
y = (-5 ± √19)/2
Solve the following inequality algebraically.
x2 - 15x + 50 ≤ 0
5 ≤ x ≤ 10
Simplify the expression to a + bi form:
(12 + 6i) - (-7 - 6i)
19 + 12i
Solve the quadratic by factoring (x = ?)
x2 + 5 = -7x -1
x = -6, x = -1
Solve the equation for all real solutions in simplest form.
x2−2x -2 =0
Solution: x = 1 ± √3
Solve the following system of equations algebraically. If there are infinite solutions state "infinite solutions" and if there are no solutions state "no solutions"
6x − 9y = 12
−2x + 3y = −4
infinite solutions
Solve the following inequality algebraically
x2 - 5x - 24 > 0
x < -3 or x > 8
Simplify the expression to a + bi form:
(9 + 7i)(6 + i)
Solve the quadratic by factoring (x = ?)
3x2 +6x + 1 = -4x -6
x = -7/3, x = -1
Solve the equation for all real solutions in simplest form
3y2 - 13y + 7 = 0
y = (13 ± √85) / 6
Solve the equation for all real solutions in simplest form.
23x2- 10x -7 = 0
x = (5 ± √186)/23
Solve the following inequality algebraically.
-2x2 + 65 ≥ 14x + 5
-10 ≤ x ≤ 3
Simplify the expression to a + bi form:
(-10 - 9i)(-10 + 9i)
181
Solve the quadratic by factoring (x = ?)
6x2 -22x = -9x -2
x = 1/6, x = 2
What are the roots of the equation in simplest a + bi form?
x2 +8x + 20 = 0
x = -4 + 2i, x = -4 - 2i
Solve the following system of equations algebraically. If there are infinite solutions state "infinite solutions" and if there are no solutions state "no solutions"
4x − 6y = 8
2x − 3y = −52
no solutions
Solve the following equation algebraically.
3x2 + x -9 < -7
-1 < x < 2/3
Express as a complex number in simplest a + bi form:
(-24 + 28i) / (-10 + 6i)
3 - i
Solve the quadratic formula by factoring (x=?)
6x2+11x−35
x = 7/2, x = -5/3
What are the roots of the equation in simplest a + bi form?
x2 -2x + 37 = 0
x = 1 + 6i, x = 1 - 6i
Solve the following system of equations algebraically. If there are infinite solutions state "infinite solutions" and if there are no solutions state "no solutions"
3x − 2y = 7
5x + 4y = 15
x = 15/11, y = -16/11
Solve the following inequality algebraically.
-5x2 - 6 ≤ -12x - 2
x ≤ 2/5 or x ≥ 2
Express as a complex number in simplest a + bi form.
(2 + 7i) / (3 - 3i)
-5/6 + 3i/2