1. Solve the following inequalities. a. 11x+62 14x+3 b. 4x-2 -6 c. y=-3x-1 and 3x +...

    

Transcribed Image Text:

1. Solve the following inequalities. a. 11x+62 14x+3 b. 4x-2 -6 c. y=-3x-1 and 3x + y + 1-0 represent the same line. d. If the dependent variable of a linear relation decreases by 7 for every increase of 1 in the independent variable, the slope must be -7. e. For the line 2x-5y + 10 = 0, the y-intercept is -2. 3. Find the equation of a line passing through the two points (4, 2) and (-3, 1). 4. The music preferences of young adults 14 to 19 gathered by Statistics Canada are presented in the following pie chart. 50% Music genres preferred by young adults 14 to 19 13% 25% Alternative: 25% Classical: 2% Country: 10% 2% Rap: 50% Rock: 13% 10% a. What fraction of youth surveyed prefer rock or country or classical? b. What genre is the second least preferred? III Unit 4 Evaluation 4 / 8 100% Unit 4 Evaluation 5. Determine the nature of the intersection of the following pairs of lines without graphing. Justify your answer. a. y=-3x + 1 and y = -3x+1 b. y = -x-3 and x + y = 6 c. y = 8x+2 and 12y = 96x + 24 Q III Unit 4 Evaluation 5 / 8 - 100% d. Graph the equations from 5b (y = == -x- 3 and x + y = 6) in the following 2 space provided. What does the point of intersection represent? 6. A small venue for birthday parties charges a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend? Q III Unit 4 Evaluation TVO ILC 6 / 8 - 100% Unit 4 Evaluation 7. The line y = -3x + 7 is a line of best fit to various data points. Graph possible data points the line of best fit is close to. What R value could this line have? Communication 8. Identify the bias in each case. a. A business wants to determine the challenges employees faced due to the COVID-19 pandemic. The director surveys staff near their office one day after work. Q III Unit 4 Evaluation 7 / 8 100% Unit 4 Evaluation b. Some observations of a study on the employment of high school students are reported more than others. c. A researcher ignores a certain type of data when conducting a study. 9. Why might a misleading graph be created? Q III Unit 4 Evaluation 8 / 8 - 100% Unit 4 Evaluation Thinking 10. A line is parallel to the line y == 7 2 x +9 and passes through the point of intersection of x + y = 10 and 3x - 4y+ 12 = 0. Determine the equation of the line. 11. Given the numbers 2, 9, 10, 11, 18, which number is the mean of the other four numbers? Q 1. Solve the following inequalities. a. 11x+62 14x+3 b. 4x-2 -6 c. y=-3x-1 and 3x + y + 1-0 represent the same line. d. If the dependent variable of a linear relation decreases by 7 for every increase of 1 in the independent variable, the slope must be -7. e. For the line 2x-5y + 10 = 0, the y-intercept is -2. 3. Find the equation of a line passing through the two points (4, 2) and (-3, 1). 4. The music preferences of young adults 14 to 19 gathered by Statistics Canada are presented in the following pie chart. 50% Music genres preferred by young adults 14 to 19 13% 25% Alternative: 25% Classical: 2% Country: 10% 2% Rap: 50% Rock: 13% 10% a. What fraction of youth surveyed prefer rock or country or classical? b. What genre is the second least preferred? III Unit 4 Evaluation 4 / 8 100% Unit 4 Evaluation 5. Determine the nature of the intersection of the following pairs of lines without graphing. Justify your answer. a. y=-3x + 1 and y = -3x+1 b. y = -x-3 and x + y = 6 c. y = 8x+2 and 12y = 96x + 24 Q III Unit 4 Evaluation 5 / 8 - 100% d. Graph the equations from 5b (y = == -x- 3 and x + y = 6) in the following 2 space provided. What does the point of intersection represent? 6. A small venue for birthday parties charges a fee of $130 plus $3 per person. If you can spend no more than $190 on your party, what is the maximum number of people who can attend? Q III Unit 4 Evaluation TVO ILC 6 / 8 - 100% Unit 4 Evaluation 7. The line y = -3x + 7 is a line of best fit to various data points. Graph possible data points the line of best fit is close to. What R value could this line have? Communication 8. Identify the bias in each case. a. A business wants to determine the challenges employees faced due to the COVID-19 pandemic. The director surveys staff near their office one day after work. Q III Unit 4 Evaluation 7 / 8 100% Unit 4 Evaluation b. Some observations of a study on the employment of high school students are reported more than others. c. A researcher ignores a certain type of data when conducting a study. 9. Why might a misleading graph be created? Q III Unit 4 Evaluation 8 / 8 - 100% Unit 4 Evaluation Thinking 10. A line is parallel to the line y == 7 2 x +9 and passes through the point of intersection of x + y = 10 and 3x - 4y+ 12 = 0. Determine the equation of the line. 11. Given the numbers 2, 9, 10, 11, 18, which number is the mean of the other four numbers? Q