Real Number
System
System
What is the difference between rational and irrational?
rational - terminates or repeats
irrational - never terminates, never repeats
What are the steps for solving problems with the order of operations?
PEMDAS
When combining like terms, what changes and what stays the same?
change coefficients, keep variables and exponents the same
When we distribute, what do we do with the outside term?
Multiply the outside term to everything inside the parenthesis
Division
If we multiply two rational numbers, the answer will be _______.
rational
6+3*2
12
3x-5x
-2x
4(x+2)
4x+8
The sum of three times a number and seven
3x+7
If you subtract an irrational number from a rational number, the answer will be _______.
irrational
(5+3)×4−6
26
4y+7−2y+3
2y+10
−3(2x−4)
-6x+12
Six less than a number is equal to twice the number
x-6=2x
If you multiply an irrational number by zero, the answer will be _______.
rational
2^3 +(6−4)×5
18
5a−3+2a+8−a^2
-a^2+7a+5
5(3x+4y−7)
15x+20y−35
The difference between a number and five is greater than or equal to ten
x−5≥10
If you divide a rational number by an irrational number (and the denominator is not zero), the answer will be_______.
irrational
( 3+2×(4−1)^2)/6
3.5
3x ^ 2 +5y−2x ^2 +7y−4
x^2 +12y−4
2(x+3y−4z)+3(2x−y+z)
8x+3y−5z
Twice the sum of a number and four is less than twenty
2(x+4)<20