Relations/Functions
Slope
Linear
Proportional
Miscellaneous
100
Identify the domain and range of the relation. (7, 1), (4, -5), (-8, 1), (9, 0), (4, 12)
What is Domain: (-8, 4, 7, 9) Range: (-5, 0, 1, 12)?
100
Which line is the most gradual? A. y=9/2x-3 B. y=1/5x+10 C. y= -8x D. y=7/6x+3
What is B.?
100
Which equation is NONLINEAR? A. y= x/8+2 B. y= 6x-3-11x C. y= 10x D. y= 3x^3
What is D.?
100
Is the relationship proportional? y=4/5x
What is YES, the y-intercept is 0.
100
What is the slope of a horizontal line?
What is 0?
200
The relation: (-2, 5), (3, 6), (-1, 4), (3, 8), (5, 4), (2, 5) is NOT a function. Which point can you remove to make it a function?
What is (3, 6) OR (3, 8)?
200
Which line is the steepest? A. y=13/3x+7 B. y=2/3x+7 C. y=1/75x D. y=3x+15
What is A.?
200
Is the relationship shown linear? If so, what is the rate of change? x: 4, 5, 6, 7, 8 y: 5, 10, 15, 20, 25
What is YES, Rate of Change = 5/1?
200
If a linear graph goes through the origin, is it proportional?
What is YES, the y-intercept is 0.
200
Is a x=-4 a function?
What is NO, it fails the vertical line test?
300
The formula 1.95x+2.49y=19.47 calculates how many pounds of apples x and how many pounds of oranges y Bob can buy for $19.47. Use the formula to find how many pounds of apples Bob can buy if he also buys 5 pounds of oranges?
What is 3. 6 pounds?
300
Which line is perpendicular to y= -1/7x+4? A. y= -1/7x-11 B. y= 7x C. y= -7x+5 D. y= 1/7x+2
What is B.?
300
Which equation is linear? A. y=5x+4 B. y=3/x-3 C. y=4x^6 D. y=3x^2-34
What is A.?
300
Does the relationship represent a proportional relationship? x: -7, -3, 0, 3, 7 y: 84, 60, 42, 24, 0
What is NO? There is a constant rate of change, -6, but the y-intercept is 42, not 0.
300
What is the slope of a vertical line?
What is undefined?
400
The equation y = 500-4x calculates how many Twizzlers Bob has left y after x days. Use the equation to calculate how many Twizzlers Bob has left after 75 days.
What is 200 Twizzlers?
400
Which line is parallel to y=9/2-4x? A. y=9/2x+3 B. y=4x-5 C. y=-4x+9/2 D. y= -4x-8
What is D.?
400
Does the relationship represent a linear equation? If so, what is the rate of change? x: 0, 2, 3, 5 y: -2, 0, 1, 3
What is Yes. Rate of Change = 1/1?
400
Is the relationship proportional? x: -7, -4, -1, 3, 5 y: 29, 11, -7, -31, -43
What is NO? There is a constant rate of change, -6, but the y-intercept is -13, not 0.
400
What is a parallel slope to a horizontal line?
What is 0?
500
The equation y=8x+2.45 calculates Bob’s total bill y given the cost of one t-shirt, x. Use the equation to calculate how much one t-shirt costs if Bob’s total bill is $44.53.
What is $5.26?
500
Identify the slope and y-intercept of the line with the given equation. -7y+4(2-x)+10+4y=-3x
What is m= -1/3 and y-intercept=6?
500
Does the relationship represent a linear relationship? x: -1, -2, -3, -4, -5 y: 9, 10, 12, 13, 16
What is NO?
500
Is the relationship proportional? x: 2, 3, 4, 5, 7 y: 12, 18, 24, 30, 36
What is NO, there is not a constant rate of change so it's nonlinear?
500
Write an equation in slope-intercept form that is parallel to y=3/5x-7 and passes through the point (10, -15).
What is y=3/5x-21?
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