Parallel Lines
Perpendicular Lines
Distance
Midpoints
Linear problems
100
The slopes of parallel lines.
What is the same?
100
The slopes of perpendicular lines.
What is opposite reciprocals?
100
The formula to find the length of a line segment in a coordinate plane.
What is the distance formula?
100
The formula used to find the middle of a segment on a coordinate plane.
What is the midpoint formula?
100

Find two numbers whose sum is 138 and whose difference is 88. 

What is 25, 113?

200
The slope of the line y = 3x + 5
What is 3?
200
The slope of a line perpendicular to y = 4x - 9.
What is -1/4?
200
What is the length of a segment that passes through the points (5, 2) and (2, 6).
What is 5?
200
The midpoint of the segment whose endpoints (5, 9) and (3, 1).
What is (4, 5)?
200

Find the area of a rectangle whose perimeter is 4.8m, if it is 0.5m longer than it is wide.

What is 1.3775 m^2?

300
The slope of a line parallel to y = 1/3 x - 5.
What is 1/3?
300
The slope of a line perpendicular to the line y = 9.
What is undefined?
300
The length of a segment whose endpoints are (-3, 2) and (6, 8).
What is 10.81?
300
The midpoint of a segment whose endpoints are (-3, 5) and (-2, 7).
What is (-2.5, 6)?
300

Find three consecutive whole numbers with a sum of 150?

What is 49, 50 and 51?

400
The slope of a line that passes through (1, 3) and (-2, 5).
What is -2/3?
400
The slope of a line perpendicular to the line that passes through the points (-1, 3) and (2, 6).
What is -1?
400
The length of a segment whose endpoints are (-6, 7) and (-10, -4) to the nearest tenth.
What is 11.7?
400
The endpoint of a segment whose midpoint is (5, 4) and one endpoint is (1, 3).
What is (9, 5)?
400

The cost of hiring a taxi consists of two elements, a fixed flagfall and an amount that varies with the number (n) of kilometres travelled. If the flagfall is $2.60 and the cost per kilometre is $1.50, determine a rule which gives C in terms of n. 

What is C=1.5n+2.6?

500

The equation of the parallel line to y=5x+3 which goes through the point (2,4). 

What is y=5x -6?

500

The equation of the line that is perpendicular to the line with equation y=2x-4 and goes through the point (3, 6).


What is y=-1/2x+15/2?

500
The length of a segment whose endpoints are (2, 2) and (-2, 10) in simplified radical form.
What is 4 square root of 5.
500
The endpoint of a segment whose midpoint is (-2, -3) and one endpoint is (-7, 3).
What is (3, -9)?
500

Two towns A and B are 200 km apart. A man leaves town A and walks at a speed of 5km/h towards town B. Find the distance of the man from town B at time t hours after leaving town A. 

What is d=200-5t?

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