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Algebra 1A – Worksheet 5.3-5.5 review Name ___________ Find the slope and y-intercept of the graph of each equation. 1. y = 3x 5 2. y = 5x + 13 3. y= x 1 Write an equation of a line with the given slope m and y-intercept b. 4. m = 1, b = 3 5. m = 4, b = 2 6. m = 5, b = 8 Write an equation in slope-intercept form of each line. 7. 8. 9. Write an equation in slope-intercept form of the line that passes through the given points. 11. (2, 6) and (4, 2) 10. (3, 5) and (0, 4) y y Graph each equation. 13. y = x+6 12. y = x + 3 x x Graph each equation 14. y = 3x 2 y y 15. y = 5x + 1 x x 16. When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has m after h hours of work. Write an equation of the line in slope-intercept form through the given point and with the given slope m. 17. (4, 11); m= 3 18. (–3, –5); m = –2 4 Graph each equation. 19.y 2 = 2(x + 3) y 20. y + 3 = –2(x + 1) y 21. x x Write an equation in point-slope form for each line. 22. 23. 24. y x Write an equation in point-slope form of the line through the given points. Then write the equation in slope-intercept form. 26. (3, 2), (5, 3) 25. (4, 0), (2, 1) Graph the line that passes through the given point and has the given slope m. 27. (3, 4); m = 6 y 28. (2, 1), m = 3 29.(4, 2); m y x 1 2 y x x Find the x- and y-intercepts of the graph of each equation. 30 4x 2y = 8 . 31. x 3y = 9 Draw a line with the given intercepts. 33. x-intercept: 3 32. x-intercept: 4 y-intercept: 5 y y-intercept: 1 x 34. x-intercept: 6 y-intercept: 8 y y x x Graph each equation using x- and y-intercepts. 34 5x + y = 10 y . 35 3x 6y = 12 . y 37 y = 6 7. y x x Graph each equation. 36. 4x 12y = 24 y x y 38. x = 2 x x Write each equation in standard form using integers. 3 39. y = – x + 2 5 40. y 4 = 5(x 8) 41. You have only nickels and dimes in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write and graph an equation that represents this situation. What are three combinations of nickels and dimes you could have?