Equations and Inequalities
Solve 5 - 2a = 13
a = -4
Solve for (x,y)
x + 2y = 2
-x + 3y = 13
(-4,3)
(x2 - 3x + 8) + (-2x2 + 15x +4)
-x2 + 12x +12
Factor x2 + 6x - 72
(x + 12)(x - 6)
Solve 5x2 = 720
Solve -(w+1) = w+3
w = -2
Solve for (x,y)
3x - 4y = -16
x - 4y = -40
(12,13)
Find the difference
(5m2 - 6) - (8m3 + m2 - 2m + 11)
-8m3 + 4m2 + 2m - 17
Factor 25d2 + 60d + 36
(5d + 6)2
+3.32, -3.32
Write the equation of the line that passes through (8,3) and is perpendicular to y = 1/2x + 2
y = -2x + 19
Solve for (x,y)
y = 5x - 4
-4x + y = -2
(2,6)
Find the product
(z + 9)(2z - 7)
2z2 + 11z - 63
Factor -2a2 + 50b2
-2(a + 5b)(a - 5b)
Solve x2 + 6x - 13 = 0
-7.69, 169
Solve AND graph 5b - 7 < 7b - 5
b > -1
Solve for (x,y)
x - 4y= -44
-3x + 12y = 132
all real numbers
Find the product
(q + 2)((-3q2 + 6q - 1)
-3q2 + 11q -2
Factor y3 + 8y2 - 9y - 72
(y + 8)(y + 3)(y - 3)
Solve -2x2 + 7x - 3 = 0
0.5, 3
Solve AND graph 12 < z+9 < 16
3 < z < 7
Solve for (x,y)
-4x + 7y = -33
-3x + 2y = -15
(3,-3)
Find the product
(2k - 11)2
4k2 - 44k + 121
Factor -12z3 + 12z2 - 3z
-3z(2z - 1)2
Solve -7x2+ 7x + 3 = 4x - 1
-0.57, 1