Precalculus Exam 1 (Unit 1) Review Problems and Solutions

#precalculus #algebra #algebra2

Links and resources
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(0:00) Expand the expressions (FOIL, Pascal's triangle...)
(7:32) Factor the expressions (quadratics and a cubic, includes the difference of two squares and the sum of two cubes)
(15:45) Simplify rational expressions
(22:02) Exponent properties simplification
(24:08) Find real solutions (quadratics)
(28:22) Solve rational function equation (real solutions)
(29:43) Solve square root equation (real solutions)
(33:36) Rationalize the denominator
(35:20) Rationalize the numerator
(36:49) Square, rationalize, and simplify
(39:40) Solve inequalities (sketch solution set and use interval notation)
(46:59) Equations of lines with given properties (slopes and intercepts)
(49:44) Distance, midpoint, equation of line
(53:27) Perpendicular bisector equation
(54:51) Equation of a circle with a given center and diameter
(56:52) Sketch the graph of x = y^2 - 4
(59:21) Complete the square to graph a circle
(1:01:16) Painting rate word problem (story problem). Set up and solve an equation involving rational functions.

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[georgesadler]

Professor Bill Kinney, thank you for an exceptional video/lecture on Precalculus Unit 1 Exam Review Problems and Solutions. These are solid algebraic and graphical problems that are helpful to students taking Precalculus worldwide. Test taking is a skill that students have to deal with every day in High School and College. The best way for students to learn Precalculus is to do many problems. from different textbooks.

[lucasirvine]

Is this first year at actuarial science? I do advance higher maths in Scotland and applied for this course