Co Algebra B Mid Review. C. plot them on graph paper, draw the line, and count the squares to the middle

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1 Co lgebra Mid Review Name: ate: 1. Joe needs to find the midpoint of a line segment on a coordinate plane. Given the coordinates of the endpoints, what is the best way for him to find the midpoint of the line segment?. substitute the coordinates into the midpoint formula. substitute the coordinates into the point-slope formula C. plot them on graph paper, draw the line, and count the squares to the middle. plot them on graph paper, create a right triangle, and use the Pythagorean Theorem. Segment ST has endpoints (6, ), and (1, 14). What is the distance between these two endpoints?. 5 units. 6 units C. 1 units. 13 units 3. Segment QR has endpoints at ( 1, ) and (, ). What is the distance between these two endpoints?. 3 units. 4 units C. 5 units. 6 units 4. The algorithm below is a step-by-step geometric procedure. I. dd the 1 st x-coordinate value to the nd x-coordinate value and divide by two. II. dd the 1 st y-coordinate value to the nd y-coordinate value and divide by two. III. Write your answers from step I and step II as an ordered pair. Which of the following does the algorithm best represent?. Calculating the slope of a line.. Calculating the y-intercept of a graph. C. Calculating the length of a line segment.. Calculating the midpoint of a line segment. 5. What type of triangle is formed by the points (4, ), (6, 1), and C( 1, 3)?. right. equilateral C. isosceles. scalene 6. What is the midpoint of a line segment with endpoints at ( 3.5,.1) and (5.7, 3.3)?. ( 3.5, 3.3). (1.1, 0.6) C. (., 1.). (1.1,.7) 7. The value of Mr. ulaney s car x years after its purchase is given by the function V(x) = 15, 000(0.87) x. pproximately, what was the value of Mr. ulaney s car 5 years after its purchase?. $7,500. $8,600 C. $9,900. $13,100 page 1

2 8. The coordinates (, ) and ( 3, 1) are two of the vertices of the figure on the coordinate plane. What are the coordinates of the midpoint of the two vertices?. ( 1, 3 ). ( 3, 1 ) C. ( 1, 3 ). ( 3, 1 ) 9. On the coordinate grid below, ST is shown. Write the ordered pair that represents the midpoint of ST. 10. The population of a town is 345,000. The function f (t) = 345, 000(1.) t gives the predicted population of the town in t years. pproximately what will the population be in 3 years?. 350, ,000 C. 700,000. 1,50,000 page Co lgebra Mid Review

3 11. In the diagram below, point M is the midpoint of JK. What are the coordinates of point J?. ( 4, 1). ( 8, ) C. ( 10, 4). ( 10, 8) 1. doctor reads coordinates off a computer screen for the endpoints of a bone. The endpoints are at ( 4, ) and (6, 3). What is the length of the bone? Round the answer to the nearest tenth of a unit units. 6.7 units C. 9. units units 13. small plane needs to refuel approximately halfway to its destination. It takes off from its base located at (7, ), on a coordinate grid and its destination is located at ( 3, 6). Which of the following locations is closest to halfway?. (., ). (.5, 1.5) C. (4, 1.5). (5, 4.5) ( Line segment has a midpoint at, 7 ) on the coordinate plane. If point is located at (8, ), which of these ordered pairs represents the location of point?. ( ) 7 4, (3, 5) C. (5, 3). (4, 1) 15. The student population in the Greenville school system is increasing about 10% each year. This year there are 310 students in the Greenville school system. If this trend continues, which of the following is closest to the number of students who will be in this school system 3 years from now? C page 3 Co lgebra Mid Review

4 16. Ruby is making a calendar. Which shows a slide of the word March over the line?.. C shape is shown below. Which shows this shape transformed by a flip?.. C Which of the following best represents only a translation (slide) up?.. C.. page 4 Co lgebra Mid Review

19. figure on the graph is translated down 4 units and left units. Which of the following represents this single transformation?

Jerome buys the card for $40 at the end of the year 001.

Isabel began training for a marathon by running 3 miles during her first week.

Which function represents the number of miles she ran during the nth week?. f (n) = 3(1.1) n 1. f (n) = 3 + 1.1 n 1 C.

5 19. figure on the graph is translated down 4 units and left units. Which of the following represents this single transformation?.. C.. 0. n ad for a special baseball card that was posted on the Internet claims that the value of the card doubles every year. Jerome buys the card for $40 at the end of the year 001. If the value of the card does indeed double every year, in what year will the value of the card first reach $5000? 1. Isabel began training for a marathon by running 3 miles during her first week. Each week, she increased the distance she ran by 10% of the previous week s distance. Which function represents the number of miles she ran during the nth week?. f (n) = 3(1.1) n 1. f (n) = n 1 C. f (n) = 3(1.1)(n 1). f (n) = 3 + (1.1)(n 1). Use the equation below to answer the following question. s the value of x becomes negative and continues to decrease, what happens to the value of y? y = x. y becomes negative. y gets closer to 1 C. y gets closer to 0. y gets closer to x page 5 Co lgebra Mid Review

6 3. Melinda invested $1000 in a retirement account. The formula below shows the amount of money,, that will be in her account at the end of t years. = 1000(1 + r) t In the formula, r is the interest rate, expressed as a decimal. Melinda s account has an interest rate of 6%. Which of the following is closest to the amount that will be in Melinda s account at the end of years?. $110. $114 C. $156. $ Which of the following represents a translation of the figure?.. C.. page 6 Co lgebra Mid Review

If trapezoid KLMN shown below is reflected across the x-axis to form trapezoid K

7 5. What is the apparent image of X when triangle WXY is translated units down and 5 units right?. (1, 3). (3, 1) C. (4, 6). (6, 4) 6. If trapezoid KLMN shown below is reflected across the x-axis to form trapezoid K L M N, what are the apparent coordinates of M?. ( 4, 5). ( 4, 5) C. (4, 5). (4, 5) page 7 Co lgebra Mid Review

8 7. If a figure is rotated, which of the following characteristics of the figure is preserved? I. angle measures II. perimeter III. area. I and II. II and III C. I and III. I, II, and III 8. polygon has been rotated about the origin. Which statement must be true?. The lengths of the sides are doubled.. The area of the polygon did not change. C. The coordinates of the vertices did not change.. The area of the polygon is 4 Times its original area. 9. Trapezoid C below is to be translated to trapezoid C by the following motion rule. (x, y) (x + 3, y 4) What will be the coordinates of vertex C?. (1, 3). (, 1) C. (6, 1). (8, 3) 30. Which expression describes the translation of a point from ( 3, 4) to (4, 1). 7 units left and 5 units up. 7 units right and 5 units up C. 7 units left and 5 units down. 7 units right and 5 units down page 8 Co lgebra Mid Review

9 Problem-ttic format version c Educide Software Licensed for use by an Clark Terms of Use at Co lgebra Mid Review 11/01/ C 9. (9, 4) C [answer grid] C C

Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2

Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Geometry Exam 2 Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Geometry Exam 2 Description: GEO Topic 5: Quadrilaterals and Coordinate Geometry Form: 201 1. If the quadrilateral