Practice Test
Find the x- and y-intercepts for the following: 2x−5y=6
Find the x- and y-intercepts of this equation, and sketch the graph of the line using just the intercepts plotted.
3x−4y=12
Find the exact distance between (5,−3) and (−2,8). Find the coordinates of the midpoint of the line segment joining the two points.
Solve for x: 5x+8=3x−10.
Solve for x: x2+1=4x
The perimeter of a triangle is 30 in. The longest side is 2 less than 3 times the shortest side and the other side is 2 more than twice the shortest side. Find the length of each side.
Solve: 3x−8≤4.
Solve: |3x−2|≥4.
For the following exercises, find the equation of the line with the given information.
Has an undefined slope and passes through the point (4,3).
Add these complex numbers: (3−2i)+(4−i).
Multiply: 5i(5−3i).
Solve this quadratic equation and write the two complex roots in a+bi form: x2−4x+7=0.
Solve: x2−6x=13.
Solve: √x−7=x−7
Solve: (x−1)23=9
For the following exercises, find the real solutions of each equation by factoring.
(x+5)2−3(x+5)−4=0