University:
High School
Course:
High School Algebra
Academic year:

2022
Views:

464

Pages:

4
Author:

Viehbach76

1. Write an equation of the line in slope-intercept form. y = mx + b line on a coordinate plane 6/3 = 2 y = 2x 2. Write the equation of the line that passes through the point (1, 8) and has a slope of 3. y - y₁ = m(x - x₁) y - 8 = 3(x - 1) y - 8 = 3x - 3 y = 3x - 5 3. Write an equation of the line that passes through the point (-2, 3) and is perpendicular to the line y = -2x - 3. y - y₁ = m(x - x₁) y - 3 = ½(x - (-2)) y - 3 = ½x + 1 y = ½x - 1 4. Determine which of the lines, if any, are parallel or perpendicular. Explain. Line a: 2x - 7y = 14 Line b: y = 7/2x - 8 Line c: 2x + 7y = -21 2x - 7y = 14 -7y = -2x + 14 y = 2/7x - 2 2x + 7y = -21 7y = -2x - 21 y = -2/7x - 3 b || c 5. Determine if the graph has positive, negative, or no correlation. Explain. scatter plot showing a downward trend As the x-values increase, the y-values decrease. 6. The scatter plot shows the roasting times (in hours) and weights (in pounds) of seven turkeys. What is the roasting time for a 12-pound turkey? [Scatter plot showing roasting time vs. weight of turkeys] 4 hours 7. Using the scatter plot in problem #6, write an equation for the line of fit that models the roasting time (y) as a function of the weight (x) of a turkey. (6, 3) (24, 5.75) slope = (5.75 - 3) / (24 - 6) = 2.75 / 18 = 0.17 y - y₁ = m(x - x₁) y - 3 = 0.17(x - 6) y - 3 = 0.17x - 1.36 y = 0.17x + 1.64 8. Identify and interpret the slope and y-intercept of the line of fit from question #7. Slope = 0.17 y-intercept = 1.64 Start cooking your turkey for 1.64 hours, and add 0.17 hours for every pound it weighs. 9. Determine if the following graph represents an arithmetic sequence. Explain. [Graph of a sequence with non-constant differences between consecutive terms] No. There is no constant rate of change. 10. Identify the common difference of the arithmetic sequence -10, -4, 2, 8, ... and write the next three terms of the sequence. * +6 * 14, 20, 26 11. Graph the arithmetic sequence 1, 3, 5, 7, ... * graph with points plotted at (1,1), (2,3), (3,5), (4,7) 12. Write the equation for the nth term of the arithmetic sequence -3, -5, -7, -9, ... * aₙ = -3 - 2(n - 1) 13. Use the equation for the n-th term to find a₃₀ for the arithmetic sequence 11, 10, 9, 8, ... * aₙ = 11 - 1(n - 1) * a₃₀ = 11 - 1(30 - 1) * a₃₀ = 11 - 29 = -18 14. A carnival charges $2 for each game after you pay a $5 entry fee. Write a function that represents the arithmetic sequence. * f(g) = 5 + 2g * y = 5 + 2x * y = 2x + 5 15. Using the information and equation you found in problem #14, how many games can you play when you take $29 to the carnival? * 29 = 5 + 2g * 24 = 2g * 12 = g