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Algebra 1-1 Final Review Part 2 Name__________________________________________ Period _____ Due date________________ To be eligible for points, all problems must be complete. You must show all of your work. Chapter 4 1.) Write the ordered pairs that correspond to the points labeled A, B, C. and D in the coordinate plane. 2.) Plot and label the ordered pairs in the coordinate plane: A(0, 3), B(-2, -1), C(2, 0) C A B D Decide whether the given ordered pair is a solution of the equation: 3.) 2y – 4x = 8, (-2, 8) 4.) -5x – 8y = 15, (-3, 0) Rewrite the equation in function form (solve for y): 5.) -3x + y = 12 6.) 2x + 3y = 6 7.) x + 4y = 48 8.) -x – y = 5 Algebra 1-1 Final Review Part 2 Find the x and y-intercepts of the line: 9.) y = 5x + 15 10.) x – 7y = 21 11.) 2x + 4y = 16 12.) -4x + 3y = 24 Find the slope: 13.) (2, 4), (4, -4) 14.) (2, 3), (-3, 0) 15.) (3, 6), (3, 0) 16.) (-6, 2), (4, -2) Find the slope: 17.) 18.) 10 10 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 4 6 8 10 Algebra 1-1 Final Review Part 2 Find the slope: 19.) 20.) 10 10 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 4 6 21.) What is the slope of a horizontal line? 22.) What is the slope of a vertical line? 23.) Perpendicular lines have what kind of slope? Give an example. 24.) Parallel lines have what kind of slope? Find the slope and y-intercept of the graph of the equation: 25.) y = ½x + 3 26.) y = -2 27.) y – 9x = 0 28.) 3x + 4y = 16 8 10 Algebra 1-1 Final Review Part 2 Graph the equation: 29.) y = ¼x – 6 30.) x = 5 31.) 4x – y = 3 32.) x + y = 0 Chapter 5 Write an equation of the line in slope-intercept form from the given information: 33.) (1, 4), m = 3 35.) (1, 3), m = 4 34.) (2, -3), m = 2 36.) (-3, 2), m = 1 3 Algebra 1-1 Final Review Part 2 37.) (-2, 4), m = undefined 38.) x-intercept = 4, m = 3 39.) (3, -2), (-6, 4) 40.) (5, 3), (4, -3) 41.) (2, 0), (-2, 6) 42.) (-5, 2), (6, 1) Write an equation in slope-intercept form of the line shown in the graph: 10 43.) 44.) 10 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 -2 2 4 6 8 10 -2 -4 -4 -6 -6 -8 -8 -10 -10 45.) 10 46.) 10 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 4 6 8 10 Algebra 1-1 Final Review Part 2 47.) Write the equation of the line that passes through the point (-2, 4) and has an undefined slope. 48.) Write an equation of a line through (4, 5) that is perpendicular to y = ½x + 3. Write the equation in standard form with integer coefficients: 49.) y = -5x + 2 3 x 4 50.) y 5 4 Write an equation in standard form from the given information: 51.) (-8, 3), m = 2 52.) (10, 6), m = 7 53.) (-3, -3), (7, 2) 54.) (9, -2), (-3, 2) Write an equation in slope-intercept form from the table of values: 55.) 56.) x -2 -1 0 1 2 y 7 5 3 1 -1 x -2 -1 0 1 2 y -14 -9 -4 1 6 Chapter 6 Solve the following inequalities: 57.) 6 3x 58.) 6 x 12 Algebra 1-1 Final Review Part 2 59.) x 6 61.) 4x 3 63.) 4 65.) 2 x 7 15 8 21 2 x 10 60.) 4 5x 31 62.) x 2 2( x 5) 64.) 5 4x 11 13 66.) 6x 9 21 or 9x 5 4 Solve the following equations or inequalities: 67.) x 8 10 68.) 2 x 5 7 69.) x 7 70.) 3x 9 6 18 71.) 4 x 5 11 6 1 72.) x 8 3 10 Algebra 1-1 Final Review Part 2 Graph the following linear inequalities: 73.) 4x 8 74.) 3x 4 y 12 Chapter 7 Decide whether the ordered pair is a solution to the system of linear equations: 6x 3 y 15 15 x 7 y 1 ( 2,1) 75.) 76.) 2x y 3 3x y 1 Solve the system of linear equations by graphing: x y 1 77.) 5x 4 y 0 78.) x 3 y 12 x 6 y 12 (3,5)