Triangles!
SOH CAH TOA stands for...
sine = opposite over hyp
cosine = adjacent over hyp
tan = opposite over adjacent
Given y = ½x – 4, what is the slope and what is the y-int?
The slope is ½ and the y-intercept is -4
A line the divides a parabola into two symmetrical halves.
What is the axis of symmetry.
What is the volume of a cylinder with r = 4cm and height = 13cm?
V = πr^2h
= π(16)(13)
= 653 cm ^3
What do we call the point at which a line or curve intersects with the y-axis?
What is the y-intercept
What do we call two triangles that have equal angles, and whose corresponding sides are proportional?
What are similar triangles.
EXPLAIN HOW you would graph the following (without using a table of values):
y = -2/3x +7
Plot the y-intercept at y = 7
Count rise over run (down 2, over 3) to plot more points
Connect the dots into a straight line
What are the x-intercepts of the following equation:
y = 2(x-1)(x-5)
What are (1,0) & (5,0)
Given the side length of a cube is 4 cm, the surface area is….
What is 96 cm2
Does the point (1,-3) exist on the line y = 2x +4?
What is no, the point does not exist on the line.
Given the two ‘legs’ of a right triangle measure 3m and 4m, determine the hypotenuse.
What is 5m.
y = 2x - 1
y = -0.5x + 4
Solve the system by substitution or elimination.
What is (2,3)
How can you tell if a table of values shows a linear equation, quadratic equation, or neither?
Linear = first differences are constant
Quadratic = second differences are constant
Neither = none are constant
Determine the volume of a sphere given a diameter of 6 m.
What is 113.04 m3
Michael types sin 4/3 into his calculator and receives and error message. Why?
What is the opposite cannot be larger than the hypotenuse, as the hypotenuse is the longest side.
Find angle X if hyp = 10m and opposite = 5m.
30 degrees
Given the following points, determine the equation of the line:
(2,-2), and (-1,7)
What is y = -3x +4
Factor the following:
y = x^2 - 36
What is (x+6)(x-6)
One tennis ball, with a radius of 3cm, fits perfectly into a small square box. How much air is left in the box?
Volume tennis ball = 113.1cm^3
Volume square box = 216 cm ^3
Leftover volume (of air) =102.9cm^3
What is the equation of the axis of symmetry for the following quadratic equation:
y = (x+8)(x-12)
What is x = 2
Find side "a" in a right triangle if A = 55 degrees and the adjacent side is 15cm (hypotenuse is unknown).
Given the following linear relations determine the POI using any method.
y = 3x
y = 2x-1
What is (-1,-3)
Factor the following:
y = x^2 +x -20
What is (x+5)(x-4)
Determine the surface area of a rectangular box with no lid, if the dimensions are:
L = 30cm, W = 8cm and H = 12cm
What is 1152 cm ^2
The x-intercept(s) of y = x^2+2x+1 are?
What is (1,0)