Diagnostic Test MCV4U Calculus - La Citadelle

Diagnostic TestMCV4U Calculus1. Evaluate each of the following without using a calculator:44a. (− 3)b. 3− c.3 −4d.552321e.416 −3 /2. Expand and simplifya. 3(x + 6) + 4(2x− 5)b. ( x − 3)( x + 4)c. ( a b)(a − b)+ d.( 2x−1)23. Simplify each expression. Write your answer without negative exponents.2 4 3 3a. (3ab)(2ab )b.⎛ 3x⎜2⎝ x y3 / 2y3−1/2⎟ ⎞⎠−24. Factor each expressiona. 4x 2 − 25b. 2x2 + 5x−12c. 3 3 2 4 +3x − x − x 12d. x y − 4xy

5. Simplify the rational expressions.a.2x + 3x+ 22x − x − 2b.22x− x −1x + 3⋅2x − 9 2x+ 1c.2x−2x − 4x + 1x + 2d.y x−x y1 1 −y x6. Rationalize the expressions and simplifya.105 − 2b.4 + h − 2h7. Rewrite by completing the square2a. x + x + 1b. 2x2 −12x+ 118. Solve the equation.4a. x − 3x + 2 = 0b. 3 | x − 4 | = 10

9. Solve each inequalitya. x ( x −1)(x − 2) > 0b. | x − 4 | < 310. State whether each equation is true or false.a.( p + q2 2 2+ q)= pb. ab = a b1+TCCc. a 2 + b2 = a + bd. = 1+Te.1x − y=1 1−x yf.a1 xx − bx=1a − b