Name: ___________________________________ Date: _______________________________ …BLM 1–1... PREREQUISITE SKILLS - Worksheet SOLVE EQUATIONS 1. Solve. a) 2x + 5 = 11 b) x + 6 = 7 5 2 c) x = 225 d) x2 = 242 + 322 e) 602 + x2 = 612 f) 132 122 = x2 ROUNDING 5. Evaluate to one decimal place. a) 3.456 b) 19.832 c) 12 d) 417 THE PYTHAGOREAN THEOREM 2. Find the measure of the unknown side. a) ANGLE SUM OF A TRIANGLE 6. Determine the measures of the missing angles. a) b) b) c) 3. A post is to be temporarily braced until the cement that holds the post perpendicular to the ground can dry. The 10-ft support is to be attached 6 ft off the ground. a) Draw a diagram to model the problem. b) How far from the base of the post will the support be attached to the ground? PROPORTIONS 4. Solve for each unknown. a) x = 6 b) 27 = 9 5 15 30 x c) x = 27 y 6 18 54 Foundations for College Mathematics 11: Teacher’s Resource BLM 1–1 Prerequisite Skills ANSWERS 1. a) x = 3 d) x = ±40 2. a) 39 3. a) b) x = 5 e) x = ±11 b) 12 c) x = 15 f ) x = ±5 c) 56 b) 8 ft 4. a) x = 2 b) x = 10 c) x = 9, y = 81 5. a) 3.5 b) 19.8 c) 3.5 d) 20.4 6. a) a = 60º, b = 60º b) d = 35°, e = 110° Copyright © 2007 McGraw-Hill Ryerson Limited