Order of Operations
What would be the first step in this expression?
3(2+42)-7
In the grouping, 42
Write an expression for "4 times the sum of 3x and 7"
4(3x+7)
What is a variable?
A place holder for an unknown number!
The reflexive property tells me that 3=?
3=3
Like a mirror!
What is the |-3|?
3
Evaluate the following expression
3(2+22)-7
9
Write an expression for "4 times the sum of 3x and 7" and simplify
4(3x+7)
12x+28
If x=7 and y=2, what is x*y
14
The symmetric property teaches me that 2+9=?
2+9=9+2
What is the |2+2|?
4
Substitute x=7
3(2+22)-x
3(2+22)-7
Write an expression for "4 times the sum of 3x and 7" and evaluate for x=2
4(3(2)+7)
52
Evaluate this expression for x=2,
6x+7
6(2)+7
19
The transitive property tells me that if 3+2=1+4, 3+2=5, then 1+4=?
1+4=5
-3
Substitute and Evaluate for x=5
3(2+32)-x
3(2+32)-5
28
Write and evaluate the expression for this phrase "2 times the difference of 8 and 3"
2(8-3)
10
Evaluate this expression for x=3, y=-2, and z=1
z*(2x+y)
1(2(3)+(-2))
4
What does the distributive property mean?
Show or describe!
Multiply the terms on the inside of the parenthesis by the number that is on the outside of the parenthesis
3(x+2)=3x+6
6
Evaluate the following expression for x=2
3x-4(2x-2)+7
5
Write this expression "4 times x plus 7 times the difference of 2 times x and 3"
4x+7(2x-3)
y2-3(y+2)
32-3(3+2)
-6
What does the substitution property mean?
Show or describe
We can substitute (replace) a variable with the value that we are told it equals.
3x+2 if x=5, then the substitution property does 3(5)+2
Evaluate -|m+n| if m=3 and n=-6
-3