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Line 3x - 5y = 10
a) Slope = 3/5
b) y-intercept = -2 -
Expand and simplify
Result: 12x2+11x−512x^2 + 11x - 5 -
Factor
a) m2−81=(m+9)(m−9)m^2 - 81 = (m+9)(m-9)
b) x2−7x−18=(x−9)(x+2)x^2 - 7x - 18 = (x-9)(x+2) -
Roots
a) x=7,x=−6x = 7, x = -6
b) x=1,x=1/2x = 1, x = 1/2 -
y = -3(x-7)^2 + 5
a) Vertex = (7, 5)
b) Max = 5
c) Opening = Down -
Evaluate
a) 60=16^0 = 1
b) 2−3=1/82^{-3} = 1/8 -
Solve system (not shown in file)
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Expand and simplify
a) 6x2+33x−1206x^2 + 33x - 120
b) 16x2+56x+4916x^2 + 56x + 49 -
Factor fully
a) x(3x+5)(3x−5)x(3x+5)(3x-5)
b) 2(3x+2)(x+1)2(3x+2)(x+1) -
Solve
a) x=−7,x=3x = -7, x = 3
b) x=0,x=4x = 0, x = 4
c) x=0.2,x=−4.2x = 0.2, x = -4.2 -
Complete the square
y=(x+1)2−26y = (x+1)^2 - 26; Vertex = (-1, -26) -
Evaluate
Result: 25/1625/16 -
Solve for unknown
a) x=19.2x = 19.2 cm
b) x=23.8x = 23.8 cm -
Arch problem h = -2x² + 8x
a) Width = 4 m
b) x=0.4,x=3.6x = 0.4, x = 3.6
c) Max height = 8 m -
Transformations of y = x²
Reflection in x-axis, vertical stretch by 2, right 3, up 4 -
Solve
a) x=−3x = -3
b) x=20x = 20
c) x=4x = 4
d) x=11/3x = 11/3
e) x=−1x = -1
f) r=11r = 11 -
Graph circles
a) Center = (0, 0), radius = 1
b) Center = (0, 0), radius = 5