Functions
Rational/Irrational
Adding
Subtracting
Vocabulary
100
What is the function notation and how is it read?
f(x) the function of x
100
What is the difference between rational and irrational numbers?
A rational number is an integer, terminating decimal, repeating decimal, or fraction whereas an irrational number is a number that goes on forever without a pattern.
100
(8m + 9m) + (10m + 18)
27m + 18
100
(5x + 3) - (-4x + 2)
9x + 1
100
What is a function?
A function is a relation where every input only has one output.
200
Given 2x, what is f(3)?
2(3) = 6
200
Is the square root of 49 rational or irrational? Why?
Rational - square root of 49 = 7
200
(3y^2 - 15x) + ( - 5y^2 + 4/8x)
- 2y^2 - 14.5x
200
Subtract ( - 2.4x - 7.5y) from (2.4x - 7.5y)
(2.4x - 7.5y) - ( - 2.4x - 7.5y) = 4.8x
200
What is a trinomial?
3 terms
300
Given 4x + 5, what is f(1)?
4(1) + 5 = 9
300
Is pi rational or irrational? Why?
Pi irrational because it goes on forever without a pattern.
300
The sum of (2x^2 - 6x + 11) and ( - 5x^2 - 13x - 7)
(2x^2 - 6x + 11) + ( - 5x^2 - 13x - 7) = - 3 x^2 - 19x + 4
300
(8x^2 - 3x + 7) - ( -x^2 - x + 8)
9x^2 - 2x - 1
300
What is a variable?
A letter or symbol that represents an unknown value.
400
Given -0.5x + 7, what is f(12)?
-0.5(12) + 7 = 6 + 7= 13
400
Is the PRODUCT of a rational and irrational number rational or irrational? Why? (Think about 4 * pi)
Irrational - because multiplying a rational and irrational number will still be irrational since one of the numbers goes on forever.
400
(2x + 3y - 4) + (8x + 0.5y + 1/9)
10x + 3.5y - 3 8/9
400
(3m + 2x - 8y) - ( - 3m + 4x - 8y)
6m - 2x
400
What is a degree?
An exponent
500
Given -1/3x^2 + 5x - 8, what is f(3)?
-1/3(3)^2 + 5(3) - 8 = -3 + 15 - 8 = 4
500
Is the PRODUCT of the square root of 2 and the square root of 2 rational or irrational? Why?
Rational - because multiplying 2 irrational numbers together is rational EXCEPT when it is pi.
500
The sum of (2x + 3y) and ( - 5y^2 + 4/8x)
(2x + 3y) + ( - 5y^2 + 4/8x) = - 5y^2 + 2.5x + 3y
500
Subtract (4.7x^2 + 1.4x - 1/4) from ( - 2.7x^2 + 3.4x - 1/2)
( - 2.7x^2 + 3.4x - 1/2) - (4.7x^2 + 1.4x - 1/4) = 7.4x^2 + 2x - 1/4
500
What is the difference between a coefficient and a constant?
Coefficient is the number in front / attached to the variable, and a constant is the number that stands alone.
M
e
n
u