Miscelaneous
Translate to an algebraic expression: the sum of 2 times a number (n)
2n
Verbalize: 6(7) + 3
Six times seven plus three
12 x 0 = 0
Multiplication property of zero
What is the DOMAIN of this relation?
(7,3) (5,1) (6,5) (4,4)
7, 5, 6, 4
DOMAIN
set of all x-coordinates
12 x 7 =
84
Verbalize: 4[(12-4) + 2]
four times the sum of the difference between twelve and four and two
5 + 0 = 5
addition identity
What is the RANGE of this relation?
(7,3) (5,1) (6,5) (4,4)
3,1,5,4
Origin
Point (0,0)
4/3 x 1/2 =
4/6 or 2/3
20
(3 x 5) x 2 = 3 x (5 x 2)
Associative multiplication
What is the function rule for these data?
x y
1 2y = 3x - 1
Counter-example
Demonstrate a conjecture is not true
Translate to an algebraic expression: eight more than the sum of six times a number (n) and 9 times a number (n) added to one
6n + 9n +1 +8
Evaluate 3b/a + ac if a=3, b=4, c=5
19
4 + (a + 3) = (a + 3) + 4
commutative addition
If a scatterplot shows datapoints trending up and to the right, is this a POSITIVE, NEGATIVE, or NO RELATIONSHIP?
Positive
Function
Each x is paired with exactly one y
Evaluate: mn/3
if m = 9; n = 7
21
There are 36 inches in 1 yard. What is the expression to find the number of yards in x inches.
yards = inches/36
Simplify: 11 x (t x 4)
44t
Is this a FUNCTION?
(1,5) (5,1) (6,5) (5,6)
No, the x-value 5 points to 2 DIFFERENT y-values
Algebraic Expression
Expression that contains at least one operation and at least one variable