+-*/ of the integers
variables
integers and absolute value
inductive reasoning and patterns
coordinate planes
100
evaluate a+b
92 – 61 + 30 – (–35)=a
198 + 213 – {32 – (372)}=b
a+b=?
847
100
What are Variable and Expressions?
Variables are symbols, often letters like x, y, or a, that represent unknown or changeable values in mathematical expressions and equations.
100
r=-6,s=-2,t=-3,v=10,w=-1/2
-|rw|stv+|-v+r|
-164
100
The premises are:
- When I went to the store last week I forgot my backpack.
- When I went today I forgot my backpack.
- I always forget my backpack when I go to the store
100
What is the coordinate of the origin?
A
(0, 0)
B
(1, 1)
C
(0, 1)
D
(1, 0)
A
200
(–5) × (–16) × (–36)
-2880
200
2(3x + 4) − 5(x − 2)=18
x=0
200
|1+5|=|n+4|
define n
n=2 or n=-10
200
- Habanero sauce makes me teary.
- is deductive or inductive
deductivr
200
In which quadrant is the point (-3, 5) located?
A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
B
300
(24 × (1 ÷ 2 + 5 ÷ 12 − 7 ÷ 8 + 2 ÷ 3)) × (101 + 67 − 24 + 150 − 20 − 170 − 100) × ((-1) + 3 − (-2))=
272
300
If y = 2x2 + 3x − 4, find y when x = − 1.
-5
300
|a|=a a's value range
|a-1|=a-1 a's value range
|x-2|=2-x x's value range
a>=0
a>=0
x<=0
300
What is inductive reasoning?
Inductive reasoning is commonly referred to as ‘bottom up’ thinking. It involves using details to infer theories that cover more than what was observed – i.e. creating generalizations based upon a set of observations. The statement of probable truth that we reach through inductive reasoning is sometimes called a ‘conjecture’.
The flowchart below illustrates the process of inductive reasoning.
300
What is a coordinate plane?
A coordinate plane is formed when a vertical number line overlaps a horizontal number line, forming a 2 dimensional gridded surface. It can also be called a coordinate grid.
400
What is the value of 
A
400
x^2+2x+1=0
what is x
x=-1
400
|x-1|=|x+1|
|y-2|=|y+x|
x+y-y+x-y+x^y-y^2+y^x
x=0
y=1
-1
400
Use inductive reasoning to predict a next number. 3,6,9,12,15,?
18
400
distant from (4,4) to origin
4√2
500
how many integers from 1 to 100 are multiples of 7 and 11
66
500
(x-1)^2+2(x-1) +1=0
evaluate x
0
500
find the number of integers n that will make 7n+15/n-3 an integer
18
500
JM,JT,JW,JT,JF,JS,JS,FM what is the next 3 in the pattern
FT,FW,FT
500
Example 1: plot a coordinate
Plot the coordinate A(−12,4).
move 3 unit down and 4 units left
then add the two numbers together
(a,b)=a+b
-15