Linear Relations
State the slope and y-intercept of the the following:
y=-3x+7
slope = -3
y-intercept = 7
Expand and simplify:
4(x-3)
4x-12
Factor completely:
6x+18
6(x+3)
Determine the x-intercepts:
y=(x−5)(x+2)
(5,0) and (-2,0)
Solve:
5x-7=18
x=5
A line has a slope of 4 and passes through (0, 3).
Determine the equation.
y=4x+3
Expand and simplify:
(x+5)(x-2)
x^2+3x-10
Factor:
x^2+7x+12
(x+3)(x+4)
A parabola has x-intercepts at:
(−3,0)and(7,0)
Determine its axis of symmetry
x=2
If:
y=2x^2-3x+1
Determine y when x=-2
15
Determine the point of intersection:
y=2x+1
y=-x+7
(2, 5)
Expand and simplify:
3(x+2)-2(x-5)
x+16
Factor:
25x^2-16
(5x-4)(5x+4)
Determine the vertex of:
y=(x-1)(x-5)
(3, -4)
Simplify:
(x^5x^3)/x^6
x^2
Determine the equation of the line passing through:
(2, 7) and (4,-5)
y=2x+3
A student writes:
(x-4)^2=x^2-16
Explain the mistake and give the correct answer.
x^2-8x+16
Find the value of k:
x^2+kx+24=(x+4)(x+6)
k=10
A parabola has x-intercepts at
(−2,0) and (6,0)
and passes through (0,−12)
Determine its equation in factored form.
y=(x+2)(x-6)
Which expression is NOT equivalent to the other three?
x^2-9
(x-3)(x+3)
(x-3)^2
x(x)−3(3)
(x-3)(x+3)
Line A is:
y=3x-4
Line B is perpendicular to Line A and passes through (6, 5)
y=-1/3x+7
Expand and simplify:
2(x−3)^2−(x+4)(x−2)
x^2-14+26
Factor completely:
3x^2+18x+24
3(x+2)(x+4)
A parabola:
Determine its equation in factored form.
y=3/5(x+1)(x-5)
Determine all points where these two graphs would intersect.
y=x^2−5x+4
and
y=x+4
(0,4) and (6,10)