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REVIEW DAY!!!!! MAFS.912.F-IF.3.7 MAFS.912.A-CED.1.2 MAFS.912.F-IF.2.6 MAFS.912.S-ID.3.7 MAFS.912.F-IF.3.7 MAFS.912.A-CED.1.2 MAFS.912.F-IF.2.6 MAFS.912.S-ID.3.7 MAFS.912.F-BF.2.3 MAFS.912.F-IF.2.4 MAFS.912.F-IF.3.9 MAFS.912.F-BF.1.1 MAFS.912.F-LE.1.2 Unit 5, Linear Models

What is the slope of the line defined by the equation 8x + 2y = 5 ? Standard form find the slope…

Use the explicit formula to determine… Number of shirts ordered, t Total cost of shipping t-shirts, c(t) 1$2.50 2$2.80 3$3.10 4$3.40 5$3.70 6$4.00 7$4.30 8$4.60 The table shows the cost of shipping t-shirts, c(t), based on the number of t-shirts ordered, t. The pattern in the table continues. Which value represents the cost of shipping 12 t-shirts?

Functions nf(n) Which function represents the data shown in this table? A. f(n) = x + 3 B. f(n) = 2x + 8 C. f(n) = 4x + 5 D. f(n) = 3x + 7

Sequences and Functions Write a function to represent the sequence listed below where x is the term number. 2, 7, 12, 17, 22, 27 A. f(x) = 3x + 1 B. f(x) = 2x + 4 C. f(x) = 2 + 5(x-1) D. f(x) = 7x – 2 Write a function to represent the sequence listed below where x is the term number. 2, 7, 12, 17, 22, 27 A. f(x) = 3x + 1 B. f(x) = 2x + 4 C. f(x) = 2 + 5(x-1) D. f(x) = 7x – 2

Transformations Which transformation occurs to the graph of y = 2x + 5 when the equation of the line changes to y = –2x + 5? A. The line shifts to the left 2 units. B. The line shifts down 2 units. C. The line is reflected across the x-axis. D. The line is reflected across the y-axis. Which transformation occurs to the graph of y = 2x + 5 when the equation of the line changes to y = –2x + 5? A. The line shifts to the left 2 units. B. The line shifts down 2 units. C. The line is reflected across the x-axis. D. The line is reflected across the y-axis.

Transformations Which transformation occurs to the graph of y = –5x + 2 when the equation of the line changes to y = –5x – 3? A. The line shifts to the left 5 units. B. The line shifts down 5 units. C. The line is reflected across the x-axis. D. The line is reflected across the y-axis. Which transformation occurs to the graph of y = –5x + 2 when the equation of the line changes to y = –5x – 3? A. The line shifts to the left 5 units. B. The line shifts down 5 units. C. The line is reflected across the x-axis. D. The line is reflected across the y-axis.

Transformations What transformation occurs to the graph of y = 3x + 1 when the equation of the line changes to y = 6x + 1? A. The line becomes steeper. B. The line becomes less steep. C. The line shifts 3 units up. D. The line shifts 3 units right. What transformation occurs to the graph of y = 3x + 1 when the equation of the line changes to y = 6x + 1? A. The line becomes steeper. B. The line becomes less steep. C. The line shifts 3 units up. D. The line shifts 3 units right.

Finding Slope Find the slope of the line that passes through (–6, 1) and (4, –3).

Finding Slope What is the slope of the line 3x – 7y = 11?

Rate of Change In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the average rate of change in the federal minimum wage rate from 1991 to A. $0.15 per year B. $0.18 per year C. $0.55 per year D. $0.90 per year In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the average rate of change in the federal minimum wage rate from 1991 to A. $0.15 per year B. $0.18 per year C. $0.55 per year D. $0.90 per year

What does slope represent? The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x What does the slope represent in this situation? A. The speed of the current B. The speed of the rower/canoe C. The distance the rower is from the dock when x = 0 D. The average speed of the oar as it passes through the water The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x What does the slope represent in this situation? A. The speed of the current B. The speed of the rower/canoe C. The distance the rower is from the dock when x = 0 D. The average speed of the oar as it passes through the water

Function or not?

Which one does NOT represent a function?

What is the equation for this line? A. 3x – 4y = 8 B. 4x – y = 3 C. 3x – y = 4 D. 2x – y = 4 A. 3x – 4y = 8 B. 4x – y = 3 C. 3x – y = 4 D. 2x – y = 4

Write an equation given slope and a point Which of the following equations has a slope of 3 and passes through the point (5, –8)? A. 3x + y = –23 B. 3x – y = 23 C. 3x + 5y = –8 D. 5x – 8y = 3 Which of the following equations has a slope of 3 and passes through the point (5, –8)? A. 3x + y = –23 B. 3x – y = 23 C. 3x + 5y = –8 D. 5x – 8y = 3

Interpreting Graphs An NFL kicker attempts a 45 yard field goal. The path of the football toward the uprights can be represented by the graph of a quadratic function. The vertical distance, d in feet, of the football as it travels over time t, is represented by the parabola shown below. Once the football has traveled 1 second, in how many more seconds does it return to the same height? A B C D An NFL kicker attempts a 45 yard field goal. The path of the football toward the uprights can be represented by the graph of a quadratic function. The vertical distance, d in feet, of the football as it travels over time t, is represented by the parabola shown below. Once the football has traveled 1 second, in how many more seconds does it return to the same height? A B C D. 3.75

Which of the following lines is perpendicular to the line y = −2?

Find the x and y intercepts. A. x-intercept: –10, y-intercept: 5 B. x-intercept: 10, y-intercept: –5 C. x-intercept: 5, y-intercept: 10 D. x-intercept: 10, y-intercept: 5 A. x-intercept: –10, y-intercept: 5 B. x-intercept: 10, y-intercept: –5 C. x-intercept: 5, y-intercept: 10 D. x-intercept: 10, y-intercept: 5

Which graph shows the line of the equation? y+ 1=2(x−1) B A C D

Which of the following represents the slope in the equation?

Perpendicular Lines

Which of the following is a graph of this equation? The temperature of air in a room that began at 55°F is increasing by 8°F per hour. The following equation represents this situation: y = x where x represents the number of hours and y represents the temperature. A B

Thomas is a car salesman. The table shows the monthly salary that Thomas earns for the number of cars he sells. Use the data to graph the linear function. Write the equation of the line, identify the slope of the line and explain what the slope means. A B

Find the slope of the line that contains (1,6) and (1,-9) A. slope = 0 B. slope = 1 C. slope = 15 D. slope is undefined A. slope = 0 B. slope = 1 C. slope = 15 D. slope is undefined

What is the equation of this linear function? What does the slope represent? Jane is in debt. She owes her brother money and has nothing in her piggy bank. She decides to work odd jobs for her family and neighbors to build her savings back up. The graph below represents Jane’s situation. A. y = 3x − 2; The slope of 3 means Jane will be earning $3 every day. B. y = 3x + 2; The slope of 3 means it will take Jane 3 days to earn a dollar. C. y = −3x − 2; The slope of -2 means Jane was $2 in debt to her brother. D. y = x − 2; The slope of 1 means Jane will be earning $1 every day Jane is in debt. She owes her brother money and has nothing in her piggy bank. She decides to work odd jobs for her family and neighbors to build her savings back up. The graph below represents Jane’s situation. A. y = 3x − 2; The slope of 3 means Jane will be earning $3 every day. B. y = 3x + 2; The slope of 3 means it will take Jane 3 days to earn a dollar. C. y = −3x − 2; The slope of -2 means Jane was $2 in debt to her brother. D. y = x − 2; The slope of 1 means Jane will be earning $1 every day

Solve y = mx + b for m

Write an equation for the line that contains the point (-1, 2) and is perpendicular to the line y = 3. A. x + y = −1 B. x + y = 1 C. y = 2 D. x = −1 A. x + y = −1 B. x + y = 1 C. y = 2 D. x = −1

Write an equation in slope-intercept form for the line that passes through (4, 4) and has a x-intercept of 3.

Graph x + 2y = −2 for the domain D: {–4, –2, 0, 2, 4} AB CD

How to: Use a Graphing Calculator

Practice Using your Graphing Calculator with the following Task. Once you’ve written your equation graph it on your calculator and us the results to answer the rest of the questions.