Direct Variation
Simplifying Expressions
Slope
Y-Intercept
Linear Equations
100
Tell whether the equation is direct variation. If it is, find the constant of variation. 4y = -8x
What is yes and k = -2
100
Simplify: -12x + 4x – 5x + 13
What is -13x + 13
100
A line passes through (1, –5) and (–3, 7). Find the slope.
What is m = -3
100
You are given the NOW-NEXT equation Start = 5 Now + 4 = Next What is the y - intercept?
What is b = 5
100
Given the NOW-NEXT, Start = 5 Now + 4 = Next Write the linear equation for the Now-Next.
What is y = 4x + 5
200
Write an equation of direct variation that includes the given point: (3, -4)
What is y = -4/3*x
200
Simplify: 10x – 5y + 3y – 2 – 4x + 6
What is 6x - 2y + 4
200
Find the slope of the line that passes through the points (-2, -2) and (4, 1).
What is m = 1/2
200
Given the table below X: 0 1 2 3 4 Y: -2 1 4 7 10 What is the y - intercept?
What is b = -2
200
Given the NOW-NEXT, Start = 3 Now - 2 = Next Write the linear equation for the Now-Next.
What is y = -2x + 3
300
Assume that y varies directly with x: If y = 4 when x = 12, find y when x = -24
What is y = -8
300
Simplify: 7(3y – 2) + 6y
What is 27y - 14
300
A student finds the slope of the line between (7, 8) and (9, 15). She writes (8 - 15)/(9 - 7) . What mistake did she make?
What is She did not keep the order of the points the same in numerator and the denominator.
300
Given the table below: X: -3 -2 -1 1 3 Y: 9 5 1 -7 -15 What is the y - intercept?
What is b = -3
300
Given the table below X: 0 1 2 3 4 Y: -2 1 4 7 10 What is the equation?
What is y = 3x - 2
400
If weight on Earth varies directly with weight on the moon and a person weighs 120 pounds on Earth and 20 pounds on the Moon, if someone weighs 25 pounds on the Moon, how much do they weigh on Earth?
What is 150 pounds
400
Simplify: 3(x + 4) – 6(x – 2)
What is -3x + 24
400
What is the difference(s) between the graphs of f(x) = 12x + 4 and g(x) = 24x – 4?
What is slope of g(x) is twice as much as the slope of f(x)
400
A line passes through (1, –5) and (–3, 7). What is the y - intercept?
What is b = -2
400
Given the table below: X: -3 -2 -1 1 3 Y: 9 5 1 -7 -15 What is the equation?
What is y = -4x - 3
500
The length that a spring will stretch S varies directly with the weight w attached to the spring. If a spring stretches 11 inches when a 20 pound weight is attached, how far will it stretch when a 10 pound weight is attached?
What is 5.5 inches
500
Factor: 25x – 5
What is 5(5x - 1)
500
Given the slope of a line you can find missing coordinates. Find r if m=4 and the line goes through (r,6) and (4,2).
What is r = 5
500
Given one point on a line and the slope of the line, find the y - intercept. (-4,-2); m=-2
What is b = 6
500
A line passes through (1, –5) and (–3, 7). What is the equation?
What is y = -3x - 2
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