All Things Linear
What is the slope of a line passing through the points (2, 4) and (4, 6)?
1
Rewrite the equation in standard form:
y = (x + 1) (x + 2)
y = x2 + 3x + 2
Solve for x:
5x + 2 = 3x + 10
x = 4
What is the area of a triangle with base = 5 meters and height = 6 meters?
15 m2
What is the definition of sine?
opposite/hypotenuse
What is the slope of the line in the equation y = 2x - 3
2
Factor: x2 - x - 12
(x - 4)(x + 3)
Solve for x:
-3(x + 1) + 6x = 12
x = 5
What is the area of a circle with radius = 8 cm? (Round to two decimal places)
201.06 cm2
In a right triangle, the two legs are 5 cm and 6 cm, what is the hypotenuse? Round to two decimal places.
7.81
What is the slope of the line in the equation 2x + y = 5
-2
What is the vertex?
y = 3x2 + 5
(0,5)
Solve for x:
x2 - 5x - 14 = 0
x = 7, x = -2
What is the Volume of a rectangular prism with base 4 feet by 5 feet and height 11 feet?
220 ft3
What is the distance between the two points?
(-2, 5) and (1, -6)
11.4
What is the y-intercept of the line in the equation:
4x + 2y = 6?
3
What are the x-intercepts?
y = x2 + 8x + 7
(-7, 0) and (-1, 0)
Solve for x:
x2 + 5x = 0
x = 0, x = -5
What is the length of an arc with central angle 55 degrees and radius 6 inches? Round two places.
5.76 inches
Are the events independent or dependent?
From a standard deck of cards, draw one card, memorize what it is, and then put it back in the deck. Now, draw a second card.
Independent
What is a point that falls on the line in the equation:
y - 5 = -6(x + 4)?
(-4, 5)
What is the vertex? Hint: put in vertex form to find out
y = x2 + 8x + 10
(-4, -6)
Solve for x:
x2 + 6x = 7
x = 1, x = -7
If a triangle has one angle that measures 68 degrees, and a second angle that measures 43 degrees, what is the measure of the 3rd angle?
69 degrees
Find the point of intersection:
y = 2x - 5
x + 2y = 20
(6, 7)