Wednesday Dec 14th - Free Response Section (50 minutes, 8 questions)
Quadratics
Solving Equations
1. Solve algebraically using one of each of the 4 methods (factoring, quadratic formula,
extracting square roots, completing the square). You must use each method only once.
2
a) 2x + 3x - 20 = 0
b) 𝑥 2 + 10𝑥 − 4 = 0
2
c) (x + 4) - 36 = 0
2
d) x + 12x - 4 = 0
2. Solve the following equations algebraically. Remember, you can check solutions either
algebraically or graphically.
a) |2𝑥 + 11| = 21
c) √3𝑥 − 2 = 𝑥 + 4
b) (𝑥 − 1)2/3 − 2 = 0
d) 𝑥 4 − 5𝑥 2 − 36 = 0
1
4
e) 𝑥 − 𝑥−1 = 1
f) 4𝑥 4 + 𝑥 2 − 5 = 0
g) 5√𝑥 − √𝑥 − 1 = 6
h) |𝑥 2 − 6| = 𝑥
Solve the following equation by graphing. Round to hundredths if needed.
𝑥 3 − 2𝑥 2 + 5𝑥 = 7