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Algebra 1 Practice Final Name__________________ 13. Distribution (a) 28 x 16 y 4 (b) -5(6x – 8y + 11) 14. Simplifying Expressions 2(3 x) (4 x 3) 7 16. Solving 1- and 2- step equations x4 3 5 17. Solving multi- step equations 7( x 4) 3 4 18. Solving equations with x on both sides 1 2(3 g 2) (12 g 8) 2 19. Fraction busters—solve 2 x 9 3 5x 3 6 2 6 20. Proportions 2 x 5x 2 6 12 21. Percent 16 is 42% of what number? 22. Graphing y 2 x 4 23. Intercepts—Give the x-intercept and the y-intercept 4 x 2 y 12 24. Slope. Find the slope of the line through these points. (3, -7) and (-5, -7) 25. Graphing slope-intercept form. Graph the line. Identify the slope and the y-intercept. 4 y x5 3 Slope ______ yintercept ______ 26. Describe linear graph Properties Describe how the graph of y 3x 1 is different than the graph of y=x 27. Solve for y x 4y 8 28. Direct Variation Does the following represent direct variation? Explain why or why not. If it is, write an equation. X y -10 2 20 -5 29. Function Notation a. Evaluate the function at the given value f ( x) 4 x 9 f (12) -15 3 24 -6 b. Find the value of x for the given output g ( x) 3 x 1 g ( x) 20 30. Write the equation of a line given slope Slope is - ½ , contains the point (2, 6) 31. Write the equation of a line given two points Contains the points (10, 9) and (-6, 1) 32. Graph a line in point slope form 1 y 3 ( x 4) 2 33. Write an equation in standard form Blue jeans cost $35. Dress shirts cost $28. Write an equation that shows how many blue jeans and dress shirts you could buy for $700. Give three possible combinations. 34. Write an equation of a perpendicular line Write an equation of the line which goes through (-9, 2) and is perpendicular to y 3 x 71 35. Write an equation of a parallel line Write an equation of the line which goes through (6, 8) and is parallel to 5 y x 57 2 36. Describe the correlation of data Describe the correlation of data in the scatter plot in terms of strong or weak and positive or negative or no correlation. 37. Draw a line of best fit 38. Find the equation of a line of best fit Find an equation for the line of best fit and use the equation to predict y when x is 10.