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Name: Date: Block: Linear Equations Test Outline Chapter 4 and Chapter 5 Slope Find the slope. 1) Calculate the slope of a line that passes through the points (-3, 2) and (-6, 5). 2) 3) Find the value of ‘y’ so the line through (4, y) and (2, 4) has a slope of -1. X intercept and y intercept Slope intercept form Point Slope form Find the x-intercept and y-intercept. 4) 3x – 6y = -18 6) Graph the line y = 3 x–2 2 8) Graph a line that has a slope of 3 and passes through the point (-1, -3). 5) 2y = 8x + 8 7) Graph the line x – 2y = -4 9) Write the equation of the line shown in point slope form. Translating linear equations 10)For a line passing through 11)For a line passing through the the points (1, 2) and (3, 5) points (-3, 0) and (4, 7) a) What is the slope? b) Write equation in point slope form c) Write equation in slope intercept form d) What it in standard form e) Graph it Parallel Lines Perpendicul ar lines 12) Which of the given lines are parallel? A: y = 2x + 5 B: y – 2x = -7 C: 4x + 2y = 0 13) Which of the given lines are perpendicular? 2 x+1 3 3 B: y = x – 6 2 C: 3x + 2y = 10 A: y = 14) Write the equation of a line that passes through the point (2, -4) and is parallel Writing to the line y = 7x + 1. equations of parallel and Perpendicular Lines 15) Write the equation of a line that passes through the point (0, 2) and is perpendicular to 2x + 5y = 10. Graph linear inequalities Tell whether the ordered pair is a solution of -3x + 2y > 16. 20) (-2, 8) 21) (-1, -1) Graph the inequality. 22) y > 2x + 3 23) 3x – 2y < 12 Graph systems of linear inequalities Functions Graph the system of inequalities. 24) y < 2 x > -6 25) y > -3x + 2 2 y x 1 3 Sketch a graph to represent the situation. Label each section. 26. The temperature of the water 27. The sales of the company have decreases over the first few hours in the increased steadily over the years. refrigerator. 28. If f(x) = –5x + 11 and f(x) = 21, what is the value of x? 29. Find the relationship between the number of shapes and the perimeter of the figure they form. Represent this relationship using a table, an equation, and a graph. 1 hexagon 2 hexagons 3 hexagons