Precalculus Practice Problems and Solutions for Placement Exam for Calculus 1 and Precalculus

Bill Kinney
Bill Kinney
14.4 هزار بار بازدید - 5 سال پیش - Precalculus Exam
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This video consists of precalculus pretest (placement exam) problems that are prerequisites for calculus.

Section 2 (17 problems)

(0:00) Introduction
(1:01) Starting with 16, expand a product of a binomial and trinomial.
(3:03) 17, Simplify a fraction involving a square root.
(5:31) 18, Solve a compound inequality.
(7:29)  19, Simplify a fraction to the negative 1/3 power.
(11:27) 20, Evaluate a value of a piecewise-defined function at a point.
(13:56) 21, Simplify a function composition.
(16:51) 22, Find an inverse function.
(21:25) 23, Find the x-intercepts of the graph of a quadratic function (use factoring and the quadratic formula).
(25:50) 24, Simplify the change f(x+h) - f(x) in a quadratic function (this is very important for calculus).
(29:21) 25, Find the domain of a function involving a square root.
(31:43) 26, Solve an exponential equation (first by making the bases the same and equating exponents, then by using a logarithm base 5).
(37:08) 27, Solve a logarithmic equation.
(38:38) 28, Simplify a logarithmic expression using properties of logarithms.
(41:37) 29, Convert an angle from degrees to radians.
(43:23) 30, Simplify a trigonometric expression using the definition of secant, cotangent, and cosecant.
(45:47) 31, Given a graph, determine the function (among exponential and logarithmic options).
(47:27) 32, Solve a trigonometric equation for both solutions over an interval (use the unit circle definitions of sine and cosine).

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