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SBAC PRACTICE CC MATH 8 CH #1-4 Assessment ID: dna.23160 ib.318674 Directions: Answer the following question(s). 1 Rectangle ABCD is drawn on a coordinate plane. Each angle measures 90°. The rectangle is reflected across the y–axis, translated 9 units down, and then rotated 180° clockwise about the origin. What would be the measure of angle B of the resulting rectangle? 3 ° 2 Samantha is studying the geometric design of roads. She uses a surveying tool to measure the angles at the intersections of the roads near to her school, which are shown in the picture below (NOT to scale). Samantha noted that Smith Street is parallel to Abbey Road. John likes to experiment with geometric figure transformations. He reflected Triangle XYZ across the x–axis and then rotated it 90° counterclockwise about the origin. If angle Y measured 68° before the transformation, what would be its measure after the transformation? ° 4 Which of the following conjectures is true for all cases about the lines in the image below? A. If two lines are cut by a transversal such that the corresponding angles, alternate interior angles and alternate exterior angles are all congruent to each other, then the lines must be parallel. B. If two lines are cut by a transversal such that the Which of the following statements are true about the picture? Select three that apply. A. B. C. D. E. The value of x is 8. The value of x is 21. The measure of angle A is 42°. The measure of angle B is 42°. Angles A and B are same side interior angles. corresponding angles are congruent, alternate interior angles are congruent, and alternate exterior angles are congruent then the lines must be parallel. C. If two lines are cut by a transversal such that the corresponding angles are supplementary, alternate interior angles are supplementary, and alternate exterior angles are supplementary then the lines must be parallel. D. If two lines are cut by a transversal such that the corresponding angles are congruent, alternate interior angles are congruent, and alternate exterior angles are congruent then the lines must be perpendicular. Illuminate Itembank™ Generated On May 3, 2017, 1:28 PM PDT Continue: Turn to the next page. Page 1 SBAC PRACTICE CC MATH 8 CH #1-4 Assessment ID: dna.23160 ib.318674 Directions: Answer the following question(s). 5 Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees. 8 A. B. C. D. 9 Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply. Each pair of vertical angles is congruent. Each pair of corresponding angles is congruent. Each pair of supplementary angles is congruent. Each pair of alternate interior angles is congruent. Suppose a line segment with a length of 9 in. that is located in Quadrant I of a coordinate plane is reflected across the x–axis. Which of these statements are correct about the resulting figure? Select two that apply. A. It will still be a line segment. B. It will still have a length of 9 in. C. It will still be located in Quadrant I. x= 10 6 A. B. C. D. E. Which of these equations has an infinite number of solutions? Select two that apply. A. If it is reflected across the line y = x, it will still 2x + x – 4 = –x – x – x + 2 – 6 x + 2x + 3 + 3 + 3 = 3(x + 3) measure 78°. B. If it is translated 22 units down, it will no longer measure 78°. 4(x + 9) = 2(2x + 9) + (–18) 7x – 9 = 2x – 5x – 9 Which of these statements are correct about an angle measuring 78° in a coordinate plane? Select three that apply. C. If it is rotated 180° about the origin, it will no longer measure 78°. 6x = ( ) 12 x D. If it is reflected across the y–axis, it will no longer measure 78°. 2 E. If it is translated 26 units to the left, will still measure 78°. 7 A. B. C. D. E. Which of these equations has a solution of x = 2? Select three that apply. F. If it is rotated 90° about the origin, will still measure 78°. 3(x + 4) = 16x – 14 5x – 11 = 6x – x – 11 4x + 9 = 2(2x + 9) 12x + 7 = –(2x – 3) + 16x ( ) 1 x=4 2 Illuminate Itembank™ Generated On May 3, 2017, 1:28 PM PDT 11 Which of these is a solution to the equation 2(x – 5) = 9 – 3x + 6 + 8 + 3x + 7? Select one that applies. A. x = 10 B. x = 20 C. x = 80 Continue: Turn to the next page. Page 2 SBAC PRACTICE CC MATH 8 CH #1-4 Assessment ID: dna.23160 ib.318674 Directions: Answer the following question(s). 12 Mika used the proportion y–3 1 = x when 3 deriving the equation of a line with similar triangles. Which of these statements about the line are correct? Select two that apply. A. The line has a slope of – 1 . 3 B. The line has a slope of 1 14 . A. that the angles must be complementary B. that the angles must be supplementary C. that each of the angles must measure 90° 3 Suppose a line graphed on a coordinate plane represents the distance traveled in miles by an automobile as a function of time in hours. Assuming that the relationship between time and distance traveled is proportional, which of these statements is correct? Select one that applies. The line has a y–intercept of 3. A. If the automobile was going 25 mph, the slope of 15 3 C. The line has a slope of 3. D. The line has a y–intercept of –3. E. 1 The line has a y–intercept of F. Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of adjacent angles formed a straight line. What can he conclude from this observation? Select one that applies. . 1 the line is – 13 . 25 Pierce used the proportion y = x 7 when 2 deriving the equation of a line with similar triangles. Which of these statements about the line are correct? Select two that apply. A. The slope of the line is 0. B. 2 The slope of the line is B. If the automobile was going 30 mph, the slope of the line is 1 . 30 C. If the automobile was going 35 mph, the y– intercept of the line is 35. D. If the automobile was going 40 mph, the y– . 7 1 intercept of the line is – . 40 C. The slope of the line is 7 . E. If the automobile was going 45 mph, the y– 2 D. The y–intercept of the line is 0. E. 2 The y–intercept of the line is intercept of the line is The y–intercept of the line is 7 . 45 . F. . 16 7 F. 1 2 If the automobile was going 50 mph, the slope of the line is 50. Enter the value for x that makes the equation –3(x – 4) + x = 2x – 12 true. x= Illuminate Itembank™ Generated On May 3, 2017, 1:28 PM PDT Continue: Turn to the next page. Page 3 SBAC PRACTICE CC MATH 8 CH #1-4 Assessment ID: dna.23160 ib.318674 Directions: Answer the following question(s). 17 Select all equations that have one solution. 21 A. 2x + 2x + 2 = 4x + 2 B. 3 Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°. (4x – 8) = 18 4 C. x + x – (x + x) = 2x – x + 2 D. 1 1 (x) = x + 2 2 E. –3(–x – 2) = 3(x – 2) 18 A. B. C. D. E. 19 A. B. C. D. E. Select all equations that have no solution. What are the values of x and y? 6 + 2x = 2(x + 6) x= 3(3x – 4) = –9x + 11 y= 11x – (x + 5) = –2(–5x – 3) 3x – (x – x) = x + 4 3x – x + 12 – 6x = 4(5 – 2x) – (–4x) 22 Select all equations that have infinite solutions. 2 – 2x = –2(x – 1) 2x + 7 = 2x – 7 The hypotenuse of right triangle ABC is AC, and the hypotenuse of right triangle DEF is DF. If points A, C, D, and F all lie on the same line, which of these statements is true about the two triangles? A. They need not be similar, and they need not be congruent. B. They must be similar, but they need not be 5x + 4 = 5(x + 4) congruent. x – (x – x) = x C. They must be congruent, but they need not be similar. 5x = 4x + 1 D. They must be both similar and congruent. 20 A shipping company charges a $5 flat fee for a package, plus a fee based on the weight of the package. The company charges $1.50 per pound, plus an additional $0.50 for every pound over 5 pounds. Jakob plans on sending a package that is over 5 pounds. He has $30 to spend on shipping. What is the maximum number of pounds that his package could be? Enter your answer as a decimal. pounds 23 Why does the equation 7x + 13x – 5 – 15 = –10 – 10 + 14x + 6x have an infinite number of solutions? A. because if you add 20x to both sides of the equation and simplify, you get –20 = –20 B. because if you add 20x to both sides of the equation and simplify, you get –20 = 0 C. because if you subtract 20x from both sides of the equation and simplify, you get –20 = –20 D. because if you subtract 20x from both sides of the equation and simplify, you get –20 = 0 Illuminate Itembank™ Generated On May 3, 2017, 1:28 PM PDT Continue: Turn to the next page. Page 4 SBAC PRACTICE CC MATH 8 CH #1-4 Assessment ID: dna.23160 ib.318674 Directions: Answer the following question(s). 24 Which of these is a correct statement? A. The equation 3 – x + 4 = –x + 7 has no solutions. B. The equation x – 2 = 15x + 8 – 9x has one solution. C. The equation 4x + 5 + 8x = 25 + 2x has two solutions. D. The equation 9 + 3x – 1 = 10 + 3x has an infinite number of solutions. Illuminate Itembank™ Generated On May 3, 2017, 1:28 PM PDT Stop: You have finished the assessment. Page 5