Basic Graphing and Linear Equations
Find the midpoint between (-6,2) and (8,8) .
(1,5)
What is the real part and the imaginary part of the complex number
2-isqrt(2)
Real part:
2
Imaginary part:
sqrt(2)
Solve for x:
(x+4)(x-1)=0
x=1,-4
Find the center and radius of the circle:
(x+2)^2+y^2=49
Center:
(-2,0)
Radius:
7
f(x) = 3x^2-5x+8
What is the domain of f(x) in interval notation?
(-infty, infty)
Find the x-intercepts and y-intercepts of
-3x+7y=14
x-int:
-14/3
y-int:
2
Solve the inequality:
8 > -5(x-9)-7
Write the solution in interval notation.
(6,infty)
What value of k will complete the square and make this a perfect square trinomial?
x^2 + 18x + k
81
Solve for x:
|x-3|-5=0
x=-2,8
g(x) = (x-2)/(3x-8)
Find g(4)
g(4)=1/2
Find the distance between (0,6) and (-4,3) .
5
Simplify i^(147)
-i
Solve for x:
x^2 + 25 = 0
x= 5i, -5i
Write the equation of the circle with center (3,5) and passing through the point (4,6)
(x - 3)^2 + (y - 5)^2 = 2
f = {(1,1), (2,3), (3,1), (4,2), (3,4)}
Is the relation f a function?
No
Determine if the following two lines are parallel, perpendicular, or neither.
2x-4y=-8
3x-6y=6
Parallel
Simplify sqrt(-14) cdot sqrt(-2)
-2 sqrt7
Solve for x:
12x (x+2) =5x-4
x=-4/3,-1/4
Solve for x:
sqrt(2x+12) = x+2
x=2
g(x) = (5-x^2)/sqrt(-2x+3)
Write the domain in interval notation.
(-infty, 3/2)
Find the equation of the line that passes through the points (-2,1) and (2,-5) . Write in slope-intercept form.
y=-3/2x-2
Solve the inequality.
(1+y)/14 - (y+2)/6 >= -1/42
Write the solution in interval notation.
(-infty, -5/2]
Solve for x:
(x+2)(x+4)=-2
x=-3-i,-3+i
Find the center and radius of the cirlce:
x^2 +y^2 - 8 x + 12 y + 27 = 0
Center:
(4,-6)
Radius:
5
h(x) = (x+2)/(x^2-9)
Write the domain in interval notation.
(-infty,-3) cup (-3,3) cup (3, infty)