Similar Triangle and Trigonometry
This type of triangle has two sides of equal length and two equal angles.
What is an isosceles triangle?
The equation of a line is in this form, where y=mx+b.
What is the slope-intercept form?
Graph the system of equations and determine if there is a solution:
y=2x+1
y=−2x+5
What is x=1,y=3?
If a parabola is facing upward, is it a maximum or minimum?
What is a minimum?
Solve for x:
x+5=12x
What is 7?
The sum of the interior angles of any triangle is always this number.
What is 180o?
A line passes through the point (0, 3) and has a slope of -4. What is the equation of the line?
What is y=−4x+3y?
Solve for this using substitution:
5x+3y=23
2x−5y=−7
What is x=4,y=1?
What is the general form of a quadratic equation?
What is y=ax2+bx+c?
Solve for x:
5x−8=12
What is 4?
In a right triangle, the sides are 6 and 8. Use the Pythagorean theorem to find the hypotenuse.
Equation: a2+b2
What is 10?
What is the slope of a horizontal line?
What is 0?
Solve for this using elimination:
4x−3y=11
2x+y=7
What is x=3,y=1
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?
Solve for x:
5(2x−3)=3x+7
What is 4?
This trigonometric ratio compares the opposite side to the adjacent side in a right triangle.
What is tan?
Which equation represents the line with the steepest slope?
y=−2x+4
y=−5x−1
What is y=−5x−1?
Solve for elimination:
3x+7y=17
2x−5y=4
What is x=3,y=1?
Which of the following is a quadratic relation?
A) y=3x+2
B) y=x2+5x+6
C) y=2x3−4x+1
D) y=4x−7
What is y=x2+5x+6?
The line 3x+2y+C=0 passes through the point (−1,−2). Find C.
What is C=4C = 4C=4?
A right triangle has a hypotenuse of 15 and one angle of 30°. Find the length of the opposite side using trigonometric ratios.
Equation: sin(30°)
What is 7.5?
A taxi charges a base fare of $4 plus $2 for each kilometer traveled. Write an equation for the total fare FFF for traveling kkk kilometers.
What is F=2k+4?
Anna and Mia are selling tickets for a school play.
Anna sells 5 adult tickets and 3 child tickets for a total of $70.Mia sells 4 adult tickets and 6 child tickets for a total of $60.What is the price of one adult ticket and one child ticket?
What are $10 for an adult ticket and $5 for a child ticket?
fill out the table of values using this equation: y=2x2−3x+1
x | y
-2
-1
0
1
2
what is:
x | y
-2 = 15
-1 = 6
0 = 1
1 = 2
2 = 3
A cell phone company charges a monthly fee of $30 plus $0.25 per text message. If the total bill for the month is $40, how many text messages were sent?
What is 30+0.25x=40?