Chapters 1-4 Flashcards
Rational numbers
Numbers that can be written as fractions or decimals that end or repeat. Ex. 1/2, .45, etc.
Integers
Whole numbers and their opposites. -1, 1, -2, 2, 0 etc.
Whole numbers
0,1,2,3. Etc. no negatives, fractions, or decimals
Natural numbers
1,2,3,4 etc. also called counting numbers
Irrational numbers
Numbers that never repeat or end
Ex. pi or square root 2
Real numbers
Any number we have studied so far!
To add fractions you need…
A common denominator
To multiply fractions you
Multiply across
To divide fractions you..
Keep the first fraction
Change to multiplication
Flip the second fraction
On the motion dectector, moving forward goes ___________ and moving backward or away goes_______________
Down, up
If one speed is faster than another than the slope of the faster line will appear ________________
Steeper
For graphing motion, the X-axis measures_____________and the y-axis measures _________________
Time, distance
If two lines are parallel, then their slopes________________________
Are the same
If two lines are perpendicular, then their slopes are
Opposite reciprocals Ex. 2/3 would be -3/2
What do you do:
Find an equation for a line through (2,4) and (-2,5) in slope intercept form
Start by finding the slope using y2-y1/x2-X1. Then set up a proportion using the slope and one point
What do you do:
Find the equation for a line with slope 4 through (1, 5)in slope intercept form
Set up a proportion using the slope and the point. 4/1 = y-5/X-1
What do you do:
Write in point slope form if you know the slope is 4 and it goes through (2,5)
Plug in 4 for m and (2,5) for X1 and y1
Y-5=4(X-2)
How do you graph y =2/3x - 4?
Start at -4 on the y-axis and go up 2, over 3
Name all the perfect squares from 1-100
1,4,9,16,25,36,49,64,81,100
How do you test for direct variation?
Divide y/X for each ordered pair and check if all the ratios are the same
What is a function?
A relation where for every X there is exactly one y.
How do you test to see if a graph is a function?
Vertical line test
What do you do first?
Find the equation of a line perpendicular to y = 3x + 2 through (4,3).
Change the slope from 3/1 to -1/3
