# PRECALCULUS/CALCULUS TEST SAMPLE QUESTIONS The 60-minute, 40-item, Precalculus/Calculus Test will assess your Intermediate Algebra and Trigonometry skills for placement into Math 170-Precalculus Math, or Math 180-Calculus I.

TEST #4 PRECALCULUS/CALCULUS TEST SAMPLE QUESTIONS The 60-minute, 40-item, Precalculus/Calculus Test will assess your Intermediate Algebra and Trigonometry skills for placement into Math 170-Precalculus Math, or Math 180-Calculus I. Recommendations for placement into these courses will be based on the score you achieve on the Precalculus/Calculus Test. To take this test you must have completed a Intermediate Algebra and a full semester course in Trigonome try. The following questions are similar to the questions on the Precalculus/Calculus Test. It is very important that you review before taking the Precalculus/Calculus Test as you will not have an opportunity to retake the test. 1. Multiply: 22 23 ( )( 5) (5 )( ) ( )( ) a b p px y x ya b +- × — × -+ 2. Divide and simplify: 2 3 4 — aa 3. Simplify: 43 62 — xx 4. Simplify (assume all radicals are real numbers): x x x x x 2 2 2 2 2 2 + 3 + 5. Find an equation of the line through the points (-3,1) and (-1, -4). 6. Solve and graph: 1 £ x + 3 7. Use the quadratic Formula to solve 2x – x – 2 = 0 . 8. Sketch the graph of ( 2) 1 y = x – 2 – 9. If f(x) = x2 and g(x) = x -3, find g( f(x) ). 10. Sketch the graph of 2 1- = x y 11. Find the radian measure of o 217 . 12. Solve sin q 1 cosq 0 q 2p 2 = + if £ £ . 13. Find the degree measure of 6 7p – radians. 14. Solve the following equation for x in terms of y: y 3x = 15. Solve the following equation for x in terms of y and z: log(x) = 2log(y) -log(z). 16. Find the inverse function of f(x) = 3x – 2. 17. Find the inverse function of x y = 4 . 18. True or False: The square of the sum of two numbers is the same as the sum of the squares of the two numbers. 19. True or False: The sum of the absolute values of two numbers is the same as the absolute value of the sum of the two numbers. 20. True or False: The reciprocal of the quotient of two numbers is the same as the quotient of the reciprocals of the two numbers.

Answers: 1. ( ) ( )( 5) y x a b p – + – ; 2. 2. a a a 3 2 ( 4) — ;…