Simplify:
5a4b(7a3b8)
35a7b9
Solve the inequality:
4a - 3 > 9a + 37
a < -8
Solve the system:
3x + 4y = 27
x - 4y = -7
(5, 3)
Solve by factoring:
x2 + 12x + 20 = 0
x = -10, -2
State the degree of the polynomial:
7x3 + 9x - 3x2 + 4 - 10x5
5
Simplify:
(6x2 + 8x - 9) - 2x(10x3 - 12x + 5)
-20x4 + 30x2 - 2x - 9
Solve the inequality:
(5y - 3)/2 > 11
y > 5
Solve the system:
2x + 3y = 13
y = 3x + 8
(-1, 5)
Solve by factoring:
x2 - 64 = 0
(x + 8)(x - 8) = 0
x = 8, -8
State the leading coefficient of the polynomial:
9x3y + 4x4y3 - 6xy2
4
Simplify: (8xy4)3
512x3y12
Solve the inequality:
2h + 3 < -11 or 9 - 4h < -11
h < -7 or h > 5
Solve the system:
y = 7x - 1
y = 9x + 7
(-4, -29)
Solve by factoring:
x2 - 3x = 28
(x - 7)(x + 4) = 0
x = 7, -4
Rewrite so that it is in standard form:
4.03 x 104
40300
Simplify:
(2x + 5)2
4x2 + 20x + 25
Solve the inequality:
-3 < 2x + 7 < 19
-5 < x < 6
Solve the system:
6x - 3y = -10
3x + 5y = 21
(1/3, 4)
Solve by factoring:
9x2 - 16 = 0
(3x + 4)(3x - 4) = 0
x = -4/3, 4/3
Determine whether the following equation is linear, exponential, or quadratic:
y = 2(3)x - 7
exponential
Simplify:
(3x - 1)(2x2 - 5x + 1)
6x3 -17x2 + 8x - 1
Solve the inequality:
|4n + 7| < 23
n < 4 and n > -7.5
Solve the system:
2x + 4y = 32
5x - 3y = -37
(-2, 9)
Solve by factoring:
3x2 + 18x - 20 = 0
(3x - 2)(x + 10)=0
x = 2/3, -10
Find the vertex of the quadratic:
y = -2x2 + 12x - 13
(3, 5)