Algebra 1 Fall Final Review Answers

Transcription

1 Algebra 1 Fall Final Review Answers 1. Evaluate the expression when Evaluate Evaluate the expression x when x = Evaluate 6y + 7 3x when y = 3 and x = Write an expression for "three times the difference of a number x and 5." 3(x - 5) 6. A man buys 13 shirts at $26.43 each. Find his total bill. Use a calculator. $ Is x = 2 a solution of the inequality? 8; yes 8. Write the numbers in decreasing order. 2 3 ; 1 5 ; 0; 2 3 ; 3 2 ; After a week of tracking imaginary stock portfolios, four students each calculated the change in the price of the best performing stock they had chosen. Some students preferred decimal form, some preferred fraction form, and the changes are shown in the table below. Which stock was the second best performer? Stock A Find the difference. 10. ( 10) ( 7) -3 Find the product Find the product. 80 Use the distributive property to write an equivalent variable expression x 14. Simplify 12x +12 Solve the equation. Check your solution x = 20 x = x = 44 x = 44 8 or 5.5

2 18. m = x = x = 15 Use the diagram (not drawn to scale). 21. Use an equation to find the value of. x = 16 Solve the equation. 23. x = -2 Solve the equation. Round the solution to two decimal places. 24. y = 0.15 Solve the proportion. Check your solution. 25. = y = 1/2 26. An airplane traveled 372 miles in the first 3 hours of a 500-mile trip. Write a proportion to find t, the total time, in hours, required for the trip traveling at this rate. x = = x A youth soccer team eats 8 pounds of oranges per game. Write and solve a proportion to determine how 8 many pounds of oranges the team eats in 6 games. x = 48 1 = x 6 Round your answer to the nearest tenth of a percent, if necessary. 29. What is 18% of 180 miles? What is 38% of 1250 yards? Solve for. 32. Solve for. p = -5/9m - 20/3

3 Sketch the graphs of x = 3 and y = 4. Find the point at which the two graphs intersect. 36. Complete the table. Then graph the function. 37. What is the -intercept of the line with the equation? 38. Identify the x-intercept and the y-intercept of the line. x = 5 y = -3

4 39. Find the slope of the line that contains ( 5, 8) and ( 5, 5). 40. Find the slope of the line through the points ( 1, 3) and ( 1, 7). Undefined 41. Write the equation in slope-intercept form. y = -2/3x Write the equation in slope-intercept form, and sketch the line. 43. Write the equation in slope-intercept form, and sketch the line. Consider lines whose equations have the form and l2 if their slopes are m1 and m2, respectively.. Find the difference of the x-intercepts of lines l Write an equation of the line with slope and y-intercept 4. y = 1/3x Write an equation of the line shown on the graph. 48. Write an equation of the line shown. 49. Find the y-intercept of a line that passes through and has a slope of 1. y = A line passes through the point ( 1, 3) and has a slope of. Sketch the line and write its equation in slope-intercept form.

5 Write an equation in point-slope form of the line that passes through the given points. 51. (4, 4), (7, 6) 52. ( 1, 8), (4, 6) y = 2/5x - 42/5 53. (4, 6), ( 3, 8) Graph the equation. 56. Write the standard form of the equation of the line with slope 4 passing through the point ( 2, 3). 57. Write the equation of the line passing through (2, 7), (2, 0), and (2, 5). 58. Write an equation in standard form of the line that passes through the given point and has the given slope m or that passes through the two given points. 59. Write an equation of the line that passes through (5, 7) and is perpendicular to the line y = - 2x Which line is perpendicular to y= 3x 5 3? 46. Write an equation of the line that passes through (5, 3) and is parallel to the line y = 2x + 2.

6 5. Evaluate the expression a. 16,320 b c. 960 d. 1088

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