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Algebra I Unit 7 Test Name____________________________ 1. Find the slope of the line passing through the two points: (-3, 6), (3, 5) 2. Find the slope-intercept form equation for the line shown in the graph below. 4 2 -5 5 -2 3. Find the point-slope form equation for the line passing through the point (2, 7) with a slope of -3. 4. Are the equations 2x + 5y = 10 and -5x +2y = 15 parallel, perpendicular, or neither? Explain. 5. Are the equations 2x – y = 3 and y = 2x + 1 parallel, perpendicular, or neither? Explain. 6. Graph the line -3x + 4y = 8 on the Cartesian Coordinate System below: 4 2 -5 5 -2 7. Write the equation for the line passing through the points (0, 2) and (2, -2) in standard form. In problems 8 & 9 find the distance between the two points given. 8. (-1, 4) and (4, -8) 9. (-1, 3) and (6, -5) 10. Give a thorough explanation on why a horizontal line has a slope of 0. 11. Explain what the solution to a system of linear equations represents. 12. Solve the system of linear equations below using the graphing method: y = 2x + 2 3x - 3y = -6 4 2 -5 5 10 -2 -4 13. Solve the system of linear equations below using the graphing method. 8 x 4 y 16 2x y 4 4 2 -5 5 -2 -4 10 Match the definition with the correct vocabulary term at right. 14.______ 15. ______ A solution to an equation in two variables. A. Slope-Intercept Form rise run B. x-intercept 16.______ To find this value, you plug 0 into the equation for x and solve for y. C. Ordered Pair 17.______ Where the graph crosses the x-axis. D. y-intercept 18.______ Ax + By = C where A & B are integer coefficients E. Standard Form 19.______ Assigns every input value exactly one output value. F. Function 20._______ y = mx + b G. Point-Slope Form 21._______ y – y1 = m(x – x1) H. Slope 22. Given f(x) = -5x + 8, find f(-2). 23. Is the picture below a function? Explain why or why not. Inputs 2 Outputs 1 4 5 6 8 8 9 24. Solve the system of equations below using the substitution method: 3n + 5m = 7 m – 4n = 6 25. Solve the system of equations below using linear combinations. 2x + y = 8 3x – 2y = 5 26. It took Joe 6 hours to cycle 48 miles going against the wind. The next day, on the return trip, it took Joe 3 hours, traveling with the wind. What was Joe’s speed without the wind? (Set up a completed chart and solve). 27. Solve the following problem using two variables: The length of a rectangle is 5 cm less than 3 times its width. If the perimeter is 70 cm, find the dimensions. Bonus: Solve the problem above using only one variable. Bonus #2: A radio station broadcasts programs and commercials 20 hours everyday. The ratio of the time spent on commercials to the programming time is 1:4. How much time each day does the station spend broadcasting commercials? Bonus #3: A business sees the graph below. The graph represents how much the business profits (P) from selling x amount of items. According to the graph, how many items must the company sell to “break even”? 100 80 60 40 20 -50 50 -20 -40 -60 -80 -100 100 150 200 250