Solving Equations/Functions
Pythagorean Theorem
Transformations
Exponents
Miscellaneous
100
Solve for x:
3x + 2 = 11
x = 3
100
What is the Pythagorean Theorem?
a^2 + b^2 = c^2
100
What are the three rigid transformations?
translations, reflections, and rotations.
100
What do we do with exponents when we multiply?
Add the exponents.
100
What is a linear function?
A function that is a straight line, has a constant rate of change.
200
Solve for x:
-1/2x + 14 = -6
x = 40
200
What are the parts of a right triangle....
Must use correct names!!!
Legs and hypotenuse.
200
What is the one non-rigid transformation we discussed? AND what does the transformation do?
Dilation, increases and decreases the size of a shape. Keeps the shape proportional.
200
What do we do with exponents when we divide?
Subtract exponents.
200
What is a proportional relationship?
Constant rate of change, goes through the origin: (0,0).
300
What is the solution to this system of equations?
(4, -1)
300
What is the missing side of the right triangle?
a = 3, b = 4, c = ?
c = 5
300
What transformation has taken place here? BE SPECIFIC AND DETAILED.
Reflection across the x-axis.
300
Solve:
5^9
300
How do I find slope of a graph?
How do I find slope of a table?
Rise/Run.
Change of Y/Change of X.
400
Solve for m:
2(m + 4) + 7 = 9m - 13
x = 4
400
Solve for side AB:
AB = 8
400
Describe the transformations to get from triangle GFH to G'F'H'. BE SPECIFIC AND DETAILED.
90 degree counter-clockwise rotation around the origin.
400
Can we have a negative exponent? What do we do if we want to make it positive? (You can use an example to answer this)
Flip it to the bottom...
ex: 6^-7 -----> 1/6^7
400
How many solutions does a square root have? Why do we sometimes only use one solution?
2, positive and negative, we only use one when we are figuring out distance or length of a shape.
500
What are the three possible types of solutions for a system of equations?
One solution, no solution, and infinite solutions.
500
Your house is 15 feet tall. How far from the house will you need to place the base of a 17 foot ladder to reach the top exactly?
x = 8
500
What two transformations occurred to go from triangle A to triangle B:
Reflection over y-axis and then translation up 2 and left 2.
500
Solve: (Leave in exponent form)
Look on white board...
4^4
500
Which is the line of best fit for the scatter plot?
Line C.