Parallel/Perpendicular
Direct Variation
Equations
Transformations
Inequalities
100
What is the slope of the line parallel to the equation y = 2/3x + 4
2/3
100
y varies directly with x. If x = 3, then y = 21. What is the value of y when x = 7?
y = 49
100
Write an equation of a line who's slope is -2/3 and has a y-intercept of -2.
y = -2/3x - 2
100
f(x)+2 represents what kind of transformation?
Vertical shift up 2
100
When graphing the inequality y < x - 4, what type of line would you use?
solid
200
What is the slope of the line perpendicular to y = -4/5x - 2
5/4
200
y is directly proportional to x. When x = 3.5, the value of y is 14. What is the value of x when y = 112?
x = 28
200
What is the slope of the equation -9x + 3y = 12?
m = 3
200
f(x - 4) represents what kind of transformation
Horizontal shift right 4
200
What is the inequality that this graph represents?
y > 2x - 2
300
What is the equation of a line that is parallel to y=2x-5 and goes through the point (1,4)?
y = 2x + 2
300
c is directly proportional with h. When c = 12, the value of h is 24. What is the value of c when h = 96?
c = 48
300
Write the linear equation that goes through the two points (-3,-3) and (3,1).
y = 2/3x - 1
300
3f(x) represents what kind of transformation?
Vertically stretched by a factor of 3
300
What is the inequality that this graph represents?
y < 2/3x + 1
400
What is the equation of a line perpendicular to y = 4/3x - 2 and goes through the point (-4,4)?
y = -3/4x + 1
400
The distance in meters a robot moves varies directly with the time in seconds. The robot moves a total distance of 264 inches in 11 seconds. What is the time in seconds the robot moves when the total distance is 408 inches?
17 seconds
400
Tim buys a new computer for his office for $1500. For tax purposes, he determines that the computer’s value depreciates by $200 every year. Write an equation to find D, the depreciation value after y years.
D = -200y + 1500
400
Which of the following describes the transformation when graphing g(x) = 5x – 2 compared to the parent function, f(x) = x ?
Vertically stretched by a factor of 5 and a vertical shift down 2
400
The theater club is selling tickets to the show. Student tickets cost $3 and adult tickets cost $7. The theater club wants to raise at least $500. Write an inequality that represents all possible combinations of s, student tickets, and a, adult tickets that the theater club could sell.
3s + 7a > 500
500
What is an equation, in slope-intercept form, of a line parallel to 2x - 4y = 8 and that passes through the point (-4,0)?
y = 1/2x + 2
500
The weight of an object on the moon varies directly with its weight on earth. A man who weighs 210lbs on Earth weighs 35lbs on the moon. If a woman weighs 120lbs on Earth, how much would she weigh on the moon?
20lbs
500
A store sold 28 pairs of running shoes for a total of $2220. Style A sold for $75 per pair and Style B sold for $90 per pair.
75a + 90b = 2220
500
Write an equation to represent a horizontal shift to the left 2 and a vertical stretch by a factor of 3 to the parent function f(x) = x
g(x) = 3(x + 2) OR g(x) = 3x + 6
500
A bridge can hold no more than 80,000 pounds at a time. The average car weighs 2,000 pounds and the average truck weighs 3,000 pounds. Write an inequality to represent all the possible combinations of the number of cars and trucks?
2,000c + 3,000t < 80,000