Show:
DOMAIN & RANGE
DIRECT AND INVERSE
VARIATION
SLOPE
SOLVING EQUATIONS
POLYNOMIALS
100
find the domain and range y=3x-1
(−∞,+∞)
100
Given that the variables vary directly, write an equation relating x and y. x = 6, y = 18
y = 3x
100
What is the slope of the line y = 9?
y = 9
100
x - 4 = 10
x = 14
100
factor this polynomial x^2+3x-10
(x-2) (x+5)
200
find the domain and range y=x^2+3
domain:(−∞,+∞) range: (3,+∞)
200
Given that the variables vary directly, write an equation relating x and y. x = 5, y = 20
y = 4x
200
Find the slope of the line that passes through the points (-1 , 0) and (3 , 8)
m = (y2 - y1) / (x2 - x1) = (8 - 0) / (3 - -1) = 2
200
2x - 4 = 10
x = 7
200
factor this polynomial x^2+2x-24
(x-4) (x+6)
300
find the domain and range y=-x^2+2
domain:(−∞,+∞) range: (-∞,2)
300
Given that the variables vary directly, write an equation relating x and y. x = 21, y = 3
3/21 = k
300
What is the slope of the line -7y + 8x = 9?
y = (8/7) x - 9/7
300
5x - 6 = 3x - 8
x = - 1
300
factor this polynomial x^2-9x+18
(x-3) (x-6)
400
find the domain and range y=x^2+4x-1
domain: (−∞,+∞) range: (-5, +∞)
400
Given that the variables vary directly, write an equation relating x and y. x = 6.9, y = 2.3
y=1/3x
400
Find the slope of the line that passes through the points (2 , 0) and (2 , 4).
m = (y2 - y1) / (x2 - x1) = (4 - 0) / (2 - 2) = 4 / 0
400
x − 2 = 4
x = 6
400
factor this polynomial 2x^2-5x-12
(x-4) (2x+3)
500
find the domain and range of these points {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}
domain: {2, 3, 4, 6} range: {–3, –1, 3, 6}
500
Given that the variables vary directly, write an equation relating x and y. x = –4, y = –2
y=1/2x
500
What is the slope of the line perpendicular to the line whose equation is given by - 2y = - 8 x + 9?
y = 4 x - 9/2
500
(x−3)(x−2) = 0
x = 3, or x = 2
500
factor this polynomial: 3x^2+5x+2
(3x+2) (x+1)