Pythagorean Theorem
A right triangle has one leg measuring 8 inches and one leg measuring 15 inches. How long is the hypotenuse?
17 inches
A rectangular garden has a length of 15 feet and a width of 10 feet. What is the perimeter of the garden?
50 feet
What is the slope of the line represented by the equation y = 2x + 3?
m = 2
What is the slope of a line parallel to the line represented by the equation y = -2x + 5?
m = -2
What is the equation of a line in slope-intercept form that has a slope of -4 and passes through the point (5, 3)?
y = -4x + 23
In a right triangle, one leg measures 7 centimeters and the hypotenuse measures 13 centimeters. What is the length of the other leg?
12 centimeters
A circular pond has a diameter of 8 meters. What is the circumference of the pond to the nearest whole meter?
25 meters
What is the slope of the line represented by the equation y - 4 = -3(x - 2)?
m = -3
What is the slope of a line perpendicular to the line represented by the equation y - 3 = 4(x - 2)?
m = -1/4
What is the equation of a line in point-slope form that has a slope of 2 and passes through the point (3, 4)?
y - 4 = 2(x - 3)
A ladder is leaning against a wall. If the ladder is 20 feet long and the base of the ladder is 16 feet away from the wall, how high up the wall does the ladder go?
12 feet
A trapezoid has parallel sides measuring 6 meters and 10 meters and an area of 64 square meters. What is the height of the trapezoid?
8 meters
What is the slope of the line represented by the equation 2x - 3y = 6?
m = 2/3
What is the slope of a line parallel to the line represented by the equation 3x + 2y = 6?
m = -3/2
What is the equation of a line in point-slope form that passes through the points (-1, 2) and (3, 8)?
y - 2 = 3/2(x + 1)
A rectangular garden has dimensions of 6 meters by 8 meters. A diagonal path is to be built from one corner of the garden to the opposite corner. What is the length of the diagonal path?
10 meters
If a cube-shaped storage container has a volume of 216 cubic feet, how long is each side of the container?
6 feet
What is the slope of the line that passes through the points (3, 5) and (-2, 1)?
m = 4/5
What is the slope of a line perpendicular to the line represented by the equation 2x - 5y = 10?
m = 5/2
What is the equation of a line in slope-intercept form that passes through the points (-2, 5) and (4, -3)?
y = -4/3x + 7/3
A ramp is being built for wheelchair access to a building entrance. If the ramp is 15 feet long and the height from the ground to the top of the ramp is 9 feet, how far away from the building is the bottom of the ramp?
12 feet
A cylindrical tank has a surface area of 408.2 square meters and a height of 8 meters. What is the radius to the nearest whole meter?
5 meters
What is the slope of the line that passes through the points(-1, 3) and (4, -2)?
m = -1
What is the slope of a line perpendicular to the line represented by the equation 4x + 7y = -14?
m = 7/4
What is the equation of a line in slope-intercept form that passes through the points (-3, 1) and (2, 4)?
y = 3/5x + 14/5