Name:__________________________________________
Geometry Test 1: Review
Date:_______ Period:______
Part I: Solve each equation below. Show all work, where necessary. Leave all answers as
reduced fractions, if possible.
1) 4y + 16 = 42
2) 9 – 2y + 1 = -14 + y
Part II: Factor completely.
4) 3x3a – 9xa2 + 18x4a
5) 300 – 3x2
6) 100y3 – 25y
7) 2x4 – 162
3) 2k + 3 = k – 6
8) 2x2 + x – 6
9) 4x2 – 19x + 12
10) 5x2 – 10x + 6
11) 2x2 – 4x – 16
Part III: Solve each quadratic equation.
12) x2 + 6 = 5x
13) 2x2 – 12 = 10x
14) 6x2 = x + 2
15) 6 – x2 = x
Part IV: Parallel & Perpendicular Lines
16) Determine the equation of the line parallel to the line y = 2x + 3 that passes through the
point (1, 4).
17) Find an equation of the line perpendicular to 2y – 5x = 4 that passes thought the point
(-4,5).
18) Determine the equation of the line that is parallel to 3y – 6x = 3 and passes through the
point (-1, -3).
19) Determine the equation of the line that is perpendicular to y = 4 and passes through the
point (-5, -6).
20) Determine the equation of the line that is parallel to x = 7 and passes through the point
(3,2).
21) Solve the following system of equations graphically:
y = x2 – 4x – 2
y=x–2
22) On the set of axes below, solve the following system of equations graphically for all values
of x and y.
y – x = x2 – 3
2y – 4x = 6