Unit 1: Similar Triangle and Trigonometry
This triangle has two sides of equal length or two angles of equal measure.
What is an isosceles triangle?
What is the equation of a line.
What is y = mx + b.
Solve for x and use LS | RS to check:
x + 5 = 8
What is x = 3?
LS | LR
x + 5 | 8
3 + 5 | 8
8 | 8
What is the point where two or more lines meet called.
What is the point of intersection?
What are 3 ways we can identify a quadratic relation?
What are equations, graphs, and tables of values?
All angles in a triangle add up to this number.
What is 180o?
What is the slope of a line if the equation is y = 7 - 3x?
What is - 3.
Find the missing variable: y/6 = 8.
what is 48?
Using substitution solve the equation below.
y=2x+3
3x+y=18
What is x=3 y=9?
What is the general form of a quadratic equation?
What is y=ax2+bx+c?
What does SOHCAHTOA stand for?
SOH → Sine = Opposite/Hypotenuse
CAH → Cosine = Adjacent/Hypotenuse
TOA → Tangent = Opposite/Adjacent
What is the slope of a horizontal line?
What is 0?
solve this equation 5x + 2 = 4x - 8
what is x = -10?
Use elimination to solve the this equation:
2x+3y=16
4x−3y=8
What is x=4 y=2.7
Which relation is quadratic and which is linear?
a) y = 18
b) y = 10x2 +7x +6
c) y = 14x
What is y = 10x2 +7x +6 and y = 14x?
In a right triangle, the sides are 6 and 8. Use the Pythagorean theorem to find the hypotenuse.
Equation: a2+b2 = C2
What is 7.6?
Which equation represents the line with the steepest slope?
y=−2x+4
y=−5x−1
What is y=−5x−1?
Solve for the unkown variable by elimanating fraction: 2(x+1)/4 = -2
What is k = -15
Lena has a total of 10 apples and oranges. If she doubles the number of apples, she will have 14 fruits in total. How many apples and how many oranges does Lena have?
What is 4 apples and 6 oranges?
Look at the table below. Is this relationship linear, quadratic, or neither?
x | y
------|------
1 | 4
2 | 6
3 | 10
4 | 16
5 | 24
What is quadratic?
A right triangle has a hypotenuse of 8 and one angle of 40°. Find the length of the opposite side using SOHCAHTOA.
Equation: sin(40°)
What is 5.1?
A taxi charges a fare of $4 plus $2 for each kilometer traveled. Write an equation for the total fare for traveling kilometers.
What is F=2k+4?
Mary wants to buy strawberry cupcakes for her and her family. Each cupcake cost $1.25. If Mary budgets is $11.25, how much cupcakes can she buy?
What is 9 cupcakes.
Jonah is a market analyst. He studies how price affects supply and demand for concert tickets. The price (in dollars), y, depends on the number of tickets sold, x.The demand equation is: y+0.5x=20 The supply equation is: y=0.8x+4. Solve this equation.
What is 12.31 units sold and a price of $13.85.
On a graph Answer the following
a) What are the coordinates of the vertex?
b) What is the equation of the axis of symmetry?
c) What is the y-intercept?
d) Is there a maximum or a minimum value, and what is it?
e) What are the x-intercepts?
a) What is ( -3 , -4).
b) What is x = -3.
c) What is ( 0,4).
d) What is a minimum of -4.
e) What is (-5,0) (-1,0)