Equation of a Line
What is the equation of the line that passes through the points (1, 3) and 1, -3)?
x = 1
What is the coordinate of the vertex of the parent function of a parabola?
(0, 0)
Simplify: -2 sqrt(2) - 3 sqrt(8)
-7 sqrt(2)
What are the x-intercepts of the parabola with the equation y = x2 - x - 12 ?
(-3, 0) and (4, 0)
Given the equation y = 2x + 3, what is the y-intercept?
(0, 4)
What is the equation of the horizontal line that passes through the origin?
y = 0
Given the quadratic equation y = (x - 2)2 + 4, what is the coordinate of the vertex?
(2, 4)
Given a 30-60-90 special right triangle where the side opposite the 30 degree angle measures
2 sqrt(2)
what is the length of the side opposite the 60 degree angle?
2 sqrt(6)
Factor: 4x2 - 9
(2x + 3)(2x - 3)
Given y = -x2 + x + 13
What is f(-3)?
1
What is the equation of the line that has a slope of 2 and passes through the point (5, 1)?
y = 2x - 9
Given the quadratic equation y = x2 - 4x + 5, what is the equation for the axis of symmetry?
x = 2
Simplify (12x2y3) / (24x5y0)
y3 / 2x3
Factor completely:
9n2 + 39n + 12
3(3n + 1)(n + 4)
Solve for x:
125 = 5x+1
2
What is the relationship between a line with an equation of 6x + 4y = 2 and a line with an equation of y = -3/2 x + 1/2?
They are the same line.
What is the standard form of the equation given as
y =-2(x + 2)2 - 2?
y = -2x2 - 8x - 10
Simplify:
(2x-2y2) / (x * 2x2y-1)
y3 / x5
Expand:
(2x - y)3
8x3 - 12x2y + 6xy2 - y3
What is the value of x that satisfies:
5 / (x + 3) = 2 / (x - 3)
7
What is the equation of the line that has a y-intercept of 2 and is perpendicular to a line with the equation 2y - 3x = 4.
y = -3/2 x + 2
Given the function h(t) = 144t - 16t2, where h is the height in feet and t is time, what is the maximum height the ball reaches?
324 feet
Evaluate
(a-3 / b-3) * (a / b)3
1
Simplify:
((x2 + 2x) / 8) * ((16) / (x + 2))
2x
Solve the following systems of equations:
3x + 4y = -25
2x - 3y = 6
(-3, -4)