Solving Equations
Transformations
Exponents
Slope/y-intercept
Functions or not a function
100
3x+2=11
x=3
100
What are the three rigid transformations?
translations, reflections, and rotations
100
What do we do with exponents when we multiply and the bases are the same?
Keep the bases the same and add the exponents.
100
What is slope intercept form?
y = mx + b
100
How do you know if a set of data is a function or not a function?
if it touches 2 points in the vertical line test OR if each x has only one y
200
-1/2 x +14 =-6
x=40
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 and the bases are the same?
Keep the bases the same and subtract the exponents.
200
What does the b stand for in
y=mx+b
B represents the y-intercept.
200
definition of function
a relation (set of data) involving one or more variables in which each x (input) has only ONE y-value (output)
300
What kind of solution does this equation have?
2x = 2x
infinite solutions
300
What transformation has taken place here? BE SPECIFIC AND DETAILED.
Reflection across the x-axis.
300
Simplify.
5^9
300
What is the slope? What is the y-intercept?
y = 3x - 5
Slope (M) = 3
Y-intercept (B) = -5
300
Is the following a function?
{(3, 5) (5, 8) (2, 7) (3, 4)}
No, it is not a function. x-value of 3 is repeated. The x value of 3 has two different y values. It would not pass the vertical line test.
400
Solve for m.
2(m + 4) + 7 = 9m - 13
x = 4
400
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
Calculate the slope
(0, 25) and (10, 0)
m= -2.5
400
Is the following a function?
No it is not a function. It doed not pass the vertical line test.
500
What are the three possible types of solutions for a system of equations?
One solution, no solution, and infinite solutions.
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. No calculator. You must show your work to earn points for this question.
2^5 * 5^4 / 2^3 *5
500
500
Calculate the slope
(2,3) and (9,7)
m= 4/7
500
If the graph were rotated 90° counter-clockwise would the relation be a function?
Yes it would be a function.
