Unit 5: Coordinate Geometry Practice Test

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1 Unit 5: Coordinate Geometry Practice Test Math 10 Common Name: Block: Please initial this box to indicate you carefully read over your test and checked your work for simple mistakes. What I can do in this unit Level 5-1 I can graph points on the Cartesian Coordinate plane and determine the slope and length between two points, including horizontal and vertical lines. 5-2 I can graph slope-intercept form, determine the equation of a line from a graph, intercepts, and intercepts. 5-3 I can use the general form for a line, convert between it and slope-intercept form, and solve various problems using that form. 5-4 I can use the slope-point form for a line, convert between it and slope-intercept form, and solve various problems using that form. 5-5 I can solve various problems involving parallel and perpendicular lines. Code Value Description N Not Yet Meeting Expectations I just don t get it. MM Minimally Meeting Expectations Barely got it, I need some prompting to help solve the question. M Meeting Expectations Got it, I understand the concept without help or prompting. E Exceeding Expectations Wow, nailed it! I can use this concept to solve problems I may have not seen in practice. I also get little details that may not be directly related to this target correct.

2 5-1: I can graph points on the Cartesian Coordinate plane and determine the slope and length between two points, including horizontal and vertical lines. Determine the slope of the line segment with endpoints 1, 6 and 8,22. The slope of a line segment is!. The line segment has endpoints #$, 8 and % 6, 12. " What is the value of $? A cascade on the Fraser River falls 5 m in a horizontal distance of 80 m. What is the slope part of the river? This diagram represents a roof. Determine its slope. Calculate the slope of the following lines. F 7 m 42 m B A E C D G H A line has the following table of values. What is the slope of the line?

3 5-2: I can graph slope-intercept form, determine the equation of a line from a graph, 3 intercepts, and 4 intercepts. Rearrange the following equation to determine slope and y-intercept: 2<3=6 Find the slope and y-intercept of =! ". Find the and intercepts of 6 4 =12. Write the following information based on the graph. Slope: Intercept: Intercept: =><? 3 4 Calculate the slope and y-intercept given the following line segments. 5,1 and 10,7 A line has a slope of " and a passes through the point 9, 2. Write an equation for line. Write the equation of a vertical line that has an -intercept of 5. Write the equation of a horizontal line that passes through 4,3.

4 5-3: I can use the general form for a line, convert between it and slope-intercept form, and solve various problems using that form. Rewrite = in general form: " Find the equation of the line that passes through the points 4, 8 and 8,1 in general form. Find the equation of the line with a slope that passes through 4, 1 in general! form. State the following for the line 5<3 15=0. Remember to show all work. a -intercept b -intercept c slope d state at LEAST THREE points on this line e graph this equation. Given the equation <<H =0, state the conditions on,,and H such that: a the graph of the line has a positive slope and a positive -intercept. b the graph of the line has a slope of zero. c the graph of the line has a positive -intercept and a positive -intercept.

5 5-4: I can use the slope-point form for a line, convert between it and slope-intercept form, and solve various problems using that form. Write the equation of the line with a slope of! that passes through 4, 3 in slope-point " form. Write = I 8 in slope-point form.! Write the equation of the line that passes through the points 7,5 and 1,3 in slopepoint form. Write an equation in slope-intercept for the line represented by " 10. List the and intercepts of 2 List at least three points on this graph. Write the equation of the line in point-slope form.

6 5-5: I can solve various problems involving parallel and perpendicular lines. Write the equation of a line in slope-intercept form of a line parallel to 5 <2 = Write the equation of the line in slope-intercept form that is parallel to the line =! I 70 and passes through the point 14, 2. Write the equation of the line in slope-intercept form that is perpendicular to the line = J 2 and passes through the point 6,5. K Determine the value of so that the line segment with endpoints 2, 3 and 4,5 is parallel to the line segment with endpoints H1, 3 and D 7,. The line with a intercept of 6 and an intercept of L is perpendicular to the line 2< 6 = Find L. Given points 1,4, 7,2, and H8,2, determine the coordinates of a point M on the - axis so that HM OOOO is perpendicular to OOOO.

7 Extra Factor 10! < 2 completely. Expand using algebra tiles 3<1 pictorially. Simplify: PQ P R Determine the greatest common factor of " S,54$!? K and S!. What is the length shown on the Vernier caliper below? Write 3 UI " V UJ using only positive exponents. Simplify Write 2 7 as an entire radical. To which of the following sets does 0 belong? I. Natural Numbers II. Whole Numbers III. Integers

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