PreAP Geometry – Niven

PreAP Geometry – Niven
Writing equations of lines and solving quadratic equations
Write the equation of the line with the following characteristics.
1.) contains 𝑃(1, −5) with slope = -1
2.) contains F(9, -4) and perpendicular to 𝑥 = −18
Write the equation of the line that passes through the two given points.
3.) 𝑇(4, −3) and 𝐾(2, 3)
4.) 𝐻(−7, −3) and 𝑁(−3, 5)
Write the equation of the line with the following characteristics.
5.) contains 𝑊(−2, 4) and perpendicular to 𝑦 = 2𝑥 − 16
6.) contains U(14, -12) and parallel to 𝑥 = 45
Write the equation of the line with the following characteristics.
2
7.) contains 𝑆(−3, 5) and parallel to 𝑦 = −7
8.) contains 𝑄(10, −15) and parallel to 𝑦 = 5 𝑥 − 16
Solve the following equations for the value(s) of the variable.
9.) 𝑥 2 − 10𝑥 + 21 = 0
10.) 𝑛2 − 10𝑛 − 30 = −3𝑛
11.) 𝑤 2 − 9𝑤 + 50 = 6𝑤 + 6
12.) 3𝑎2 + 5𝑎 − 50 = 2𝑎2
14.) −4𝑥 2 − 23 = −5𝑥 2 + 2
13.) −𝑟 2 + 6𝑟 = 24 − 2𝑟 2 + 4𝑟