Summer Mathematics Prep

Transcription

1 Summer Mathematics Prep Entering Geometry Chesterfield County Public Schools Department of Mathematics Summer Mathematics Prep documents provide self-directed student review, practice, and preparation for high school mathematics courses. Students are encouraged to first attempt these review problems on their own. Checking accuracy against the solution document can help students identify their own strengths and areas of challenge. Students can utilize instructional online resources to address areas of challenge. All of these resources can be found at Slope 1. Find the slope of the line that contains the points (6, -3) and (1, ).. Find the slope of the line graphed below which goes through (3,6) and (,1). 6 A B Solving linear equations Solve each equation for the given variable x + 5 = 11. y + = y x = ( x + ) = x + 1. = m + = 8m ( p ) = x 7 + x = 6x x = x 1 = x = 5 Chesterfield County Public Schools Page 1 of 6 Department of Mathematics May 006

2 Graphing Lines 1. Graph the equation: y = 3x Write the Equation of the Line 15. slope = -, y-intercept = slope = -, contains point (6, -9) slope = -, contains point (1, -3) 18. contains (-10, 3) and (5, 1) Evaluating Square Roots Evaluate each square root Parallel Lines 19. Find the slope of a line that is parallel to the line y = 1 x 7? 0. Write the equation of a line that goes through point (, ) and is parallel to y = 3x 7 Radicals Simplify each radical. Answers should be in simplest radical form Chesterfield County Public Schools Page of 6 Department of Mathematics May 006

3 Classifying solid figures A) B) C) D) Refer to the diagram above to answer questions Which of the above solids is a cylinder? 9. Which of the above solids is a sphere? 30. Which of the above solids is a pyramid? 31. Which of the above solids is a prism? Volume and Surface Area Please use formulas on last page for questions Find the surface area of the rectangular prism. 3. Find the surface area of the cylinder. (Use π = 3.1) 1 in in 33. Find the volume of the rectangular prism. 35. Find the volume of the cylinder. (Use π = 3.1) 9 9 m 5 6 m Chesterfield County Public Schools Page 3 of 6 Department of Mathematics May 006

4 Angle Relationships Refer to the diagram to answer the questions 1. J I H G F E D C K B M A 36. Is LMH obtuse, acute, right, or straight? 37. Is AMH obtuse, acute, right, or straight? 38. Is AML obtuse, acute, right, or straight? 39. Is FMA obtuse, acute, right, or straight? 0. If an angle measures 75, then its supplement measures. 1. If an angle measures 66, then its complement measures.. In the figure, 1and are vertical angles. If m 1= 8x + and m = 6x + 0, find the m. 1 Pythagorean Theorem For questions 8 and 9, use the diagram below. b A c a + b = c C a B 3. Given c = 5 and b = 3, find the length of side a.. Given a = 6 and b = 8, find the length of side c. Chesterfield County Public Schools Page of 6 Department of Mathematics May 006

5 Area and Perimeter Please use formulas on last page for questions Find the area and circumference of the given circle. 6. Find the area and perimeter of the given rectangle. 6mm 3mm 7. Find the area and perimeter of a square with side length of 8 units. 8 units 8. Find the area and perimeter of the given right triangle Chesterfield County Public Schools Page 5 of 6 Department of Mathematics May 006

6 Chesterfield County Public Schools Page 6 of 6 Department of Mathematics May 006