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This resource provides a detailed overview of key mathematical concepts, including factoring, solving quadratics, square roots, and rational expressions. It covers essential techniques for identifying even and odd functions, as well as performing various transformations. The review is structured to facilitate understanding through a series of practice problems. Topics include factoring polynomials, solving equations, and exploring the properties of functions. Ideal for students preparing for exams or needing a refresher on algebraic methods.
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Solving Quadratics
Solving Square-Roots
Solving Rationals
Even and Odd Factoring Solving Quadratics Solving Square-Roots Solving Rationals Transformations $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500
1-100 1 - 100 Factor 16x2 – 72x $100
1-100A 1 - 100 8x(2x – 9) $100
1-20 Factor x2 + 15x + 56 (4m2 – 5) + (3m2 – 2) (4m2 – 5) + (3m2 – 2) (4m2 – 5) + (3m2 – 2) $200
1-200A 1 - 100 (x + 7)(x + 8) $200
1-300 Factor x2 – 18x - 88 $300
1-300A 1 - 100 (x – 22)(x + 4) $300
1-400 Factor 9x2 – 42x + 49 $400
1-400A 1 - 100 (3x – 7)2 $400
1-500 Factor 5x3 – 45x $500
1-500A 1 - 100 5x(x – 3)(x + 3) $500
2-100 1 - 100 Solve for x. x2 – 5x + 6 = 0 $100
2-100A 1 - 100 x = 2, 3 $100
2-200 Solve for x. x2 – 64 = 0 $200
2-200A 1 - 100 x = 8, -8 $200
2-300 Solve for x. x2 – 27 = -6x $300
2-300A 1 - 100 x = -9, 3 $300
Solve for x. 6x2 = 3x $400
2-400A 1 - 100 x = 0, ½ $400
2-500 Solve for x. 5(x – 3)2 + 7 = 247 $500
2-500A 1 - 100 x = 3 + 4√3, 3 - 4√3 $500
Solve for x. √x = 4 $100
3-100A 1 - 100 x = 16 $100
3-200 Solve for x. 5√x = 60 $200
3-200A 1 - 100 x = 144 $200
3-300 Solve for x. 6√x – 7 = 35 $300
1 - 100 x = 49 $300
3-400 Solve for x. 4√(x – 4) + 16 = 52 $400
3-400A 1 - 100 x = 85 $400
3-400 Solve for x. x = √(30 + x) $500
3-400A 1 - 100 x = 6 (x = -5 is an extraneous solution) $500
3-100 1 - 100 Solve for x. $100
4-100A 1 - 100 x = 6, -6 $100
4-200 Solve for x. $200
4-200A 1 - 100 x = 18 $200
4-300 Solve for x. $300
4-300A 1 - 100 x = -5 $300
4-400 Solve for x. $400
4-400A 1 - 100 x = -2, 5 $400
4-500 Solve for x. $500
1 - 100 x = -4, 4 $500
5-100 1 - 100 Even, odd, or neither? y = x2 $100
5-100A 1 - 100 even $100