Exponents
106 x 107
1013
100
10 to the power of 2, 102
4x + 6 = 10
x = 1
if the slope is 4/3 and the y intercept is -6, what is the equation?
y = 4/3x - 6
What is happening from step 1 to step 2?
-3(1 + 2r) = 13 - 6r
Step 1 - 3 + 2r = 13 - 6r
Step 2 -3 + 8r = 13
Step 3 8r = 16
Step 4 r = 2
from step 1 to 2
- the 6r is being brought to the left side through addition
1012 x 1016
1028
1000
10 to the power of 3, 103
-4x + 7 + 4x = 14x + 21
x = 1
what does m represent in y=mx+b? and what does b represent?
the slope.
the y intercept.
What is happening from step 2 to step 3?
-3(1 + 2r) = 13 - 6r
Step 1 - 3 + 2r = 13 - 6r
Step 2 -3 + 8r = 13
Step 3 8r = 16
Step 4 r = 2
Moving 3 to the right side through addition ( 13 + 3)
(103)4
1012
10,000
10 to the power of 4, 104
If my equation has the same variable/unknown on BOTH sides of the equal sign - what is the first thing I should do to try to solve it?
6x + 12 = 4x - 7
Isolate x to one side, combine like terms
if the value for (m) is a negative number, does the line for the equation go right or left?
Left
What is happening from step 3 to step 4?
-3(1 + 2r) = 13 - 6r
Step 1 - 3 + 2r = 13 - 6r
Step 2 -3 + 8r = 13
Step 3 8r = 16
Step 4 r = 2
16/8 = 2
(1066)10
10660
1,000,000
10 to the 6th power, 106
If I have two equations that have one shared solution - what are the steps on how to solve that problem?
1. Set them equal to each other
2. Combine like terms
3. Isolate x
4. Plug x value back in to solve for y
If you are given two points - how do you use them to solve for the slope of the problem? What is the equation?
y2 - y1
______
x2 - x1
Which step was done incorrectly and why?
-3(1 + 2r) = 13 - 6r
Step 1 - 3 + 2r = 13 - 6r
Step 2 -3 + 8r = 13
Step 3 8r = 16
Step 4 r = 2
step 1, the distributive property was done incorrectly
they forgot to distribute -3 to 2r
(10m)n
10mn
1,000,000,000
10 to the 9th, 109
Find the solution of these two equations:
y = 3x + 5
y = 2x + 20
(3,14)
A line contains the points (4,2) and (0,-1). What is the equations of the line?
y = 3/4x - 1
This problem is incorrect, how can you tell? Where is the mistake?
-4(1 + 3r) = 6 - 6r
Step 1 - 4 - 12r = 6 - 6r
Step 2 - 12r = 10 - 6r
Step 3 - 18r = 10
Step 4 r = - 10/18
Step 2 to 3, -6 is subtracted both sides but needed to be added to both sides
- 6r = 10
r = -6/10
r = - 3/5