Unit 1/2
What is the difference in rational and irrational numbers?
rational numbers: can be written as a fraction or decimal, terminationg decimals, perfect squares, repeating decimals
irrational numbers: cannot be written as a fraction or decimal, non-terminating decimals, non-perfect squares, non-repeating decimals
what is the difference between an equation and expression?
equations have an equals sign
What is slope?
rate of change
rise over rise
What is a function?
Every input has exactly one output
How do we solve by graphing?
Look where the lines cross
classify the number (natural, whole, integer, rational, irrational, or real) List all that apply
45/5
natural, whole, integer, rational, real
simplify the expression
7m + 19g – 10m + 6g
-3m + 25g
What are the 4 types of slope?
positive, negative, zero, undefined
How can we identify a function on a graph?
vertical line test
one solution, no solution, infinitely many solutions
Simplify
x12 / x6
x6
Which is the correct first step to solve the linear equation shown?
15 – 2.5x = 40
A. Add 2.5 to both sides
B. Divide -2.5 from both sides
C. Add 15 to both sides
D. Subtract 15 from both sides
D
Find the slope
(2, 4) and (1, 7)
- 3
What 3 ways can we identify a function as linear?
set up as y = mx + b, straight line, constant rate of change
Solve by Substitution
y = -x + 8
3x + 2y = 8
(-8 , 16)
Convert to scientific notation
1,850,000
1.85 x 106
Solve the equation
-3(2p – 3) + 10p = 39
p = 7.5
Find the slope
(5 , 4) (5 , 0)
undefined
Write as an equation for
Slope = -5; (5, -22)
y = -5x + 3
Solve by elimination
x + 5y = 19
-x – 2y = -4
(-6 , 5)
Convert to standard form
8.345 x 10-6
0.000008345
Solve the equation
6 + 12(x + 3) = 7x + 30 + 6x
x = 12
Write in slope intercept form
(1, 4) and (0, 11)
y = -7x + 11
Write as an equation
(-4, 0) and (1, 5)
y = x + 4
Solve by Substitution
2x + 2y = 200
y = 4x
(20, 40)