Evaluate the expression when x = 5
2x+3
13
Simplify:
6(2x-3)+4x
16x-18
A product of a number and 8 is 56
8x=56
Add in any order
example: 2+4 = 4+2
communitaive property of addition
x+12=20
x=8
Evaluate the expression when a =-2
3a+7
1
Simplify:
5x+2-3x+6
2x+8
A number is divided by 4 and the result is 3
x/4=3
multiply in any order
example: (2*4)5 = 2(4*5)
Associative property of muliplication
4x+8=24
x=4
Evaluate the expression where x =10
x/5+8
10
Simplify:
3x+4x-7
7x-7
The difference between a number and 7 is 12
x-7=12
For every "a" there exists a (-a). opposites = 0
Existance of additive Inverse
3y-5=16
y=7
Evaluate the expression where x = -3
2(x+2)-4
-6
Simplify:
3(4x-1)-5x
7x-3
The sum of a number and 9, then multiply the result by 4
(x+9)*4
Any number times one equals itself
Multiplicative identity property of 1
2(x-4)=10
x=9
Evaluate the expression when n = 3
2n2-4n+1
7
Simplify the expression
7(3x-2)+2x
23x-14
one half of a number is subtracted from the number and the result is 10
x-1/2x=10
To muliply a number by a sum, first multiply the number by each addend. The add those together.
Distributive Property
22-x(2+4)=28
x=-4