Geometry Honors Summer Assignment

Transcription

1 Geometry Honors Summer ssignment The problems in this packet are meant to help you review topics from previous mathematics courses. uring this course you will be using these skills and applying them to the topics included in geometry. uring the first week of class there may be a quiz on these topics. irections: Solve each problem in this packet. ring this packet with you to the first day of class. Name

2 Entry-Level ssessment Name: ate: 1 Solve 3(k + 8) = Solve 15 = 3(x 1) Solve 3x 4 = Solve x = 7 2t for t. 2(x + 7) x + 9 opyright by Pearson Education Page 1 of 13

3 Entry-Level ssessment 5 Solve for d. 5p + 8 p 3 5p 8 6 Find the slope of the line through (2, 5) and (4, 7) lassify the angle as acute, right, obtuse, or straight. acute right obtuse straight 8 Judging by appearance, classify the triangle by its sides and angles. scalene right triangle isosceles right triangle isosceles obtuse triangle scalene acute triangle opyright by Pearson Education Page 2 of 13

4 Entry-Level ssessment 9 hoose the correct picture of an equilateral triangle. 10 Simplify Simplify Evaluate (n m) 2 for m = 3 and n = Simplify 6y + 4m 7y + m. y + 4 y + 5m 13y + 5m 10y 6m opyright by Pearson Education Page 3 of 13

5 Entry-Level ssessment 14 omplete the statement: 35mL =? L , omplete the statement:? ft = 8,103 yd 24,309 8,106 2, Solve the system of equations. y = x + 5 y = x + 7 (0, 12) (1, 6) (6, 11) (2, 7) 17 Solve the system of equations. y = 2x 4 y = 4x 10 (1, 2) ( 7, 18) (7, 10) (3, 2) opyright by Pearson Education Page 4 of 13

6 Entry-Level ssessment 18 Solve for the variable indicated. For the equation below, solve for t. t = I (rt) 19 Solve for the variable indicated. For the equation, solve for b. 20 Simplify. opyright by Pearson Education Page 5 of 13

7 Entry-Level ssessment 21 Solve t 2 = 1. 1, 3 1, 1 3, 3 3, 1 22 Graph y = 3x 2. opyright by Pearson Education Page 6 of 13

8 Entry-Level ssessment 23 For the function, make a table with integer values of x from 2 to 2. Then graph the function. opyright by Pearson Education Page 7 of 13

9 Entry-Level ssessment 24 Graph the function. 25 Solve x 2 + x 12 = 0 by factoring. 4, 3 4, 3 4, 3 4, 3 26 Write 16% as a decimal opyright by Pearson Education Page 8 of 13

10 Entry-Level ssessment 27 What percent of 250 is 138? Round to the nearest tenth. 55.2% 181.2% 0.6% 1.8% 28 Simplify Simplify Simplify opyright by Pearson Education Page 9 of 13

11 Entry-Level ssessment 31 Find the probability for one roll of a number cube. P(number greater than or equal to 7) Find the probability for one roll of a number cube. P(number is not 5) Use the figure below. Express the ratio in simplest form. 48 cm 32 cm, or 16 cm opyright by Pearson Education Page 10 of 13

12 Entry-Level ssessment 34 Use the figure below. Express the ratio in simplest form. n 28 cm 35 Use the figure below. Express the ratio in simplest form. 36 cm x opyright by Pearson Education Page 11 of 13

13 Entry-Level ssessment 36 The shaded region of this map shows the dimensions of a swimming pool inside a rectangular yard. Write the ratio in simplest form for. 37 The figure below shows two identical shaded triangles within a rectangle. Which statement about this figure is true? The shaded and unshaded areas of the rectangle are equal. The shaded area is of the unshaded area within the rectangle. The shaded area is of the total area of the rectangle. The shaded area is less than half the total area of the rectangle. opyright by Pearson Education Page 12 of 13

14 Entry-Level ssessment 38 Simplify the following expression. 39 Simplify the following expression. 40 tray contains 12 ham sandwiches, 10 turkey sandwiches, and 8 peanut butter sandwiches. If arrie takes a sandwich from the tray at random, what is the probability that she takes a ham sandwich? 8% 12% 40% 67% opyright by Pearson Education Page 13 of 13

15 Review: lgebra Strand Name: ate: 1 Evaluate for c = 2 and d = Evaluate 40 d 2 + cd 3 for c = 2 and d = Evaluate c 4 d 2 for c = 2 and d = Evaluate for c = 2 and d = Solve 3x 4x + 6 = opyright by Pearson Education Page 1 of 12

16 Review: lgebra Strand 6 Solve 7 = 4m 2m Solve 2y y = Solve 3z ( 2z) = Solve for s. 10 Solve for k. opyright by Pearson Education Page 2 of 12

17 Review: lgebra Strand 11 Solve for p. 12 Solve for a. 13 Solve for w. 14 Which graph shows the solution of the following system? opyright by Pearson Education Page 3 of 12

18 Review: lgebra Strand 15 Solve the system by graphing. (1, 2); ( 1, 2); (1, 1); infinite solutions. These are equivalent equations. 16 Solve the system by graphing. ( 2, 1); (1, 2); (1, 1); ( 1, 2); opyright by Pearson Education Page 4 of 12

19 Review: lgebra Strand 17 Solve the system using substitution. (3, 2) ( 2, 5) (11, 1) no solution 18 Solve using substitution. y = 2x 7x 6 = 15 (2, 7) (5, 27) (3, 6) (3, 6) 19 Solve using substitution. 6y + 8x = 28 3 = 2x y (2.3, 1.6) ( 2.5, 2) (2.45, 1.9) (0, 0) 20 Solve t 2 25 = , 5 25, 25 no solution opyright by Pearson Education Page 5 of 12

20 Review: lgebra Strand 21 Solve 3n = , 2, no solution 22 Solve 2g = , 4 16, 16 no solution 23 Solve 4(p + 6) 2 = , Jian plots a point by starting at the origin, moving 3 units to the right, and then moving 4 units down. What are the coordinates of the point that Jian plots? (3, 4) ( 3, 4) (3, 4) ( 3, 4) 25 P(x, y) is a point whose x-coordinate is negative and whose y-coordinate is positive. In what quadrant does point P lie? Quadrant I Quadrant II Quadrant III Quadrant IV opyright by Pearson Education Page 6 of 12

21 Review: lgebra Strand 26 Which of the following statements is not true about the line in this coordinate plane? The line crosses the y-axis at (0, 2). The line crosses the x-axis at (3, 0). The line passes through the origin. The line passes through every quadrant except quadrant II. opyright by Pearson Education Page 7 of 12

22 Review: lgebra Strand 27 For the function, make a table with integer values of x from 2 to 2. Then graph the function. opyright by Pearson Education Page 8 of 12

23 Review: lgebra Strand 28 For the function, make a table with integer values of x from 2 to 2. Then graph the function. opyright by Pearson Education Page 9 of 12

24 Review: lgebra Strand opyright by Pearson Education Page 10 of 12

25 Review: lgebra Strand 29 Graph the function. y = x 2 1 opyright by Pearson Education Page 11 of 12

26 Review: lgebra Strand 30 What is the slope of the line in the graph? opyright by Pearson Education Page 12 of 12