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1. Simplify. a. 75 b. 32 + V18 а.

1. Simplify. a. 75 b. 32 + V18 а.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Getting Ready Write your answers on notebook paper. Show your work. 1. Simplify. a. 75 b. 32 + V18 8. Sketch a line, b, that is the perpendicular bisector of a segment, AC. Describe the geometric characteristics of your sketch. 9. Complete the square to create a perfect square trinomial. 2. Solve the following for x. а. х—7х + 10 — 0 b. 4(х + 2) — 6х c. x(x + 1) = 2(x+ 1) 3. Find the following products. a. (5x²)(3x²) b. 2у(Зу + 5) a. x + 16x b. x? – 10x 10. Determine the type of function graphed below. Then identify the line of symmetry. y 4. Find the distance between the following: а. (3, 4) and (—2, 6) b. (1, 3) and (5, 3) 4- 3- 2- 5. Find the measure of ZA. 1- 2 3 4 -2 11. Describe how the graph of y = x differs from the graph of y = -x². A 6. In the figure below, AC = 14 units, BD = 12 units, and AD = 20 units. Find BC and AB. 12. What is true about the slopes of parallel lines? What is the relationship of the slopes of perpendicular lines? A B D 7. Compare and contrast the characteristics of a radius, a diameter, and a chord of a circle.
Transcribed Image Text:Getting Ready Write your answers on notebook paper. Show your work. 1. Simplify. a. 75 b. 32 + V18 8. Sketch a line, b, that is the perpendicular bisector of a segment, AC. Describe the geometric characteristics of your sketch. 9. Complete the square to create a perfect square trinomial. 2. Solve the following for x. а. х—7х + 10 — 0 b. 4(х + 2) — 6х c. x(x + 1) = 2(x+ 1) 3. Find the following products. a. (5x²)(3x²) b. 2у(Зу + 5) a. x + 16x b. x? – 10x 10. Determine the type of function graphed below. Then identify the line of symmetry. y 4. Find the distance between the following: а. (3, 4) and (—2, 6) b. (1, 3) and (5, 3) 4- 3- 2- 5. Find the measure of ZA. 1- 2 3 4 -2 11. Describe how the graph of y = x differs from the graph of y = -x². A 6. In the figure below, AC = 14 units, BD = 12 units, and AD = 20 units. Find BC and AB. 12. What is true about the slopes of parallel lines? What is the relationship of the slopes of perpendicular lines? A B D 7. Compare and contrast the characteristics of a radius, a diameter, and a chord of a circle.
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