Algebra Test Review

Chapter’s 1 & 2 Test Review

1) Write the expression in standard form a+bi
(2-2i)(9+i)
(-7+5i) - (6-8i)
(3+i)^2

2) Solve the following equation by factoring x^2 - 6x = 0

3) A bank loaned $17,000, part of it at the rate of 8% per year and the rest at 18% per year. If the interest received in one year totaled at $2,000, how much was loaned at 8%?

4) Find the real solutions of the equation √2x-7 = 0 5) Solve the inequality 5 < 7 - ½x < 9 6) Decide whether the following equations are parallel, perpendicular, or neither. y= 4x+6 y= -¼x + ¼ 7) Find the mindpoint of the line segment P1 and P2 P1 = (-1,2) P2 = (3,4) 8) Find the equation for the line with the given properties. Express the equation in slope intercept form. (-5, 4) and (-4,2)

Chapter’s 1 & 2 Test Review KEY

1) Write the expression in standard form a+bi
(2-2i)(9+i) -----> 20-16i
(-7+5i) - (6-8i) -----------> -13+13i
(3+i)^2 --------------> 8+6i

2) Solve the following equation by factoring x^2 - 6x = 0 -----> {0,6}

3) A bank loaned $17,000, part of it at the rate of 8% per year and the rest at 18% per year. If the interest received in one year totaled at $2,000, how much was loaned at 8%?
-----> 10,600
4) Find the real solutions of the equation √2x-7 = 0 -----> 8
5) Solve the inequality 5 < 7 - ½x < 9 -----> (-4,4)
6) Decide whether the following equations are parallel, perpendicular, or neither. y= 4x+6 y= -¼x + ¼ -----------> perpendicular
7) Find the mindpoint of the line segment P1 and P2 P1 = (-1,2) P2 = (3,4) ------> (1,3)
8) Find the equation for the line with the given properties. Express the equation in slope intercept form. (-5, 4) and (-4,2) ----> y= -2x -6