Table of Values
The pattern you see in the output column
an equation without an equal sign
3n-1
What are the axis on a graph called?
x axis & y axis
both sides of the equation are equal
What are the 4 steps for the Mr. Ram hack to solve for the input to output pattern rule?
1. find output pattern rule
2. change it to multiplication
3. put the first input number in the machine
4. guess and check the second operation
what does a variable mean?
Where is the origin on a coordinate grid?
the start point labelled 0.
Give an example of a 2 step balanced equation.
2+3 = 3+2
1 | 8
2 | 10
3 | 12
4 | 14
x2 +6
1x2 = 2 + 6 = 8
2x2=4 +6=10
Figure out what y is:
5y-3 = 32
y=7
5*7=35 -3 = 32
Make a graph representing this TOV:
1|1
2|4
3|7
4|10
ummm
Preservation of Equality
When each side of an equation is changed in the same way: their values remain equal
Two sides of a triangle are 7cm and 13cm long. The perimeter of the triangle is 30cm.
Write an equation that models this problem.
perimeter: all sides added up
Three sides to a triangle, therefore:
7cm + 13cm + y = 30cm
7+13+y=30
Solve for x:
6x +4 = 4
x=0
What is an ordered pair?
What is another name for it?
the x and y values telling us where to plot the point on a graph
also called coordinates
The Commutative Property
Multiply/add numbers in any order and the answer is always the same
Figure the input to output pattern rule & write it's expression for this TOV:
1|1
2|4
3|7
4|10
x3 -2
3n-2
Solve this expression: 4n-2 the following equation:
6+3=n
4(9)-2
4*9=36-2 = 34
34
Graph this TOV with correct labels:
Figure # | Counters used
1 | 5
2 | 7
3 | 9
4 | 11
Balance this Expression:
2b-5 = 2+(2x3)+13
b=13
2*13 = 26-5 = 21