Chance Multiple Reps Slope/ y-intercept Slope/ y-intercept Transformatio ns Parallel & Perpendicula r

QUESTION: A ______________ function must have a constant rate of change ANSWER: linear

QUESTION: Which of the representations below can be used to determine whether or not a function is linear? A.Graph B.Equation C.Both of the above D.None of the above ANSWER: B – Both of the above. Any representation can be used to determine whether a function is linear or not.

QUESTION: Does this table represent a linear function? Why or why not? ANSWER: Yes. All rates of change are the same. m=3/2 XY

QUESTION: Is the following equation a direct variation? Why or why not? ANSWER: No. Since the equation is in standard form and it does not equal 0, it cannot be a direct variation. 3x+4y=6

QUESTION: Camilla is baking cookies for her class and wants to make sure she has enough chocolate chips. It takes 8 chocolate chips for one cookie, 15 for 2 cookies, and 22 for 3 cookies. If she has a total of 400 chocolate chips, will she have enough for 50 cookies? ANSWER: No. If we continued with her pattern (y=8x+1) she would need 401 chocolate chips.

QUESTION: At a the bat festival, each person is charged an entrance fee of $5.00 plus $1.50 per game they play. What is the slope? A. Number of games played B. $5.00 C. Cost of attending the festival D. $1.50 ANSWER: D - $1.50

QUESTION: Lily earns money babysitting. She gets paid $10 for the first hour and $8 for every hour after. What is the y-intercept in the situation? A. $8 B. Number of hours C. $10 D. Amount of money earned ANSWER: C - $10

QUESTION: What is the meaning of the rate of change in the situation represented by the graph? ANSWER: The cost per mile driven in a rental car.

QUESTION: A weightlifter is adding plates of equal weight to a bar. The table below shows the total weight, including the bar, that he will lift depending on the total number of plates on the bar. Based on this information, what does the number 35 signify? ANSWER: The weight of each plate.

QUESTION: The length of a certain plant is changing as described by the equation, y=5x+3, where represents the height in centimeters of the plant, and represents the number of years since the plant was planted. Is the statement “the plant has a height of 3 centimeters and grows at a rate of 5 centimeters per year” correct? If not, how should the statement be changed? ANSWER: Yes, it is correct. The 3 indicates the starting point, and the 5 indicates the rate of change per year.

QUESTION: If the graph of y=2x+4 is translated 2 units up, which equation describes the new graph? A. y=2x+4 B. y=2x+6 C. y=4x+4 D. y=4x+6 ANSWER: B – in a translation, the slope stays the same but the y- intercept changes.

QUESTION: A preschool charges a one-time fee of $180 for supplies and $275 a month. How will the graph change if the monthly rate is increased by $100? A. The graph will be steeper. B. The graph will be higher. C. The graph will be less steep. D. The graph will be lower. ANSWER: A – The graph will be steeper. Because the monthly rate is the slope, this is a rotation. The y-intercept is not changing.

QUESTION: The slope and y-intercept of the graph of f(x) were changed to make the graph of g(x), as shown. Determine whether or not the following statement is an accurate description of the changes that were made? “The slope was multiplied by 2, and the y-intercept was decreased by 5 to make the graph of g(x).” ANSWER: No, it is not accurate. The slope was multiplied by A negative number.

QUESTION: An airplane’s altitude in feet during its descent for landing can be found using the function f(x) = -300x+30,000, where represents the horizontal distance in miles from where the plane begins its descent. After new government regulations become law, the airplane’s descent will be modeled by the function g(x) = -300x+30,500. Which statement describes this change? A. The airplane starts its descent from an altitude 500 feet higher. B. The airplane starts its descent from an altitude 500 feet lower. C. The airplane descends 500 feet per horizontal mile faster. D. The airplane descends 500 feet per horizontal mile slower. ANSWER: A – the y-intercept was increased by 500, which resulted in the airplane beginning its decent 500 feet higher.

QUESTION: Students are selling hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students have can be determined by using the function f(x) = 48x+37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function g(x) = 24x+37, how many fewer hats will the students’ have to sell if they still order 20 boxes? A. 20 hats B. 24 hats C. 480 hats D. 960 hats ANSWER: C – plug in 20 for x and subtract g(x) from f(x)

QUESTION: Parallel line have slopes that are _____________________________. ANSWER: The same or equivalent

QUESTION: Determine whether the line y=2x - 4 is parallel, perpendicular, intersecting, or coinciding to the line that contains the points (8, 4) and (6, 5). ANSWER: The line will be PERPENDICULAR because the slope between the given points is -1/2

QUESTION: Is (-6, -6) a solution to the given inequality? ANSWER: Yes – it falls in the shaded area.

QUESTION: When the inequality symbol is ≤ or ≥, the line is ________________________. When the inequality symbol is, the line is ________________________. Shade ____________ the line with inequality symbols ≤ or <. Shade ­­­­­­­­­­­­­­­____________ the line with inequality symbols ≥ or >. ANSWER: Solid Dashed Below Above