Axioms and Properties
Name this axiom: x(y+z)=xy+xz
What is the distributive axiom?
Simplify the following expression using the Distributive Property.
3(p+7)
3p+21
Simplify the following expression by combining like terms.
6x+6x
12x
Solve the following equation by using the Distributive Property.
4(7+k)=36
2
Solve the following equation by combining like terms.
-23=1+2p+6p
-3
Name the axiom: is x=y, and y=z, then x=z.
What is the transitive property of equality?
Factor out the common factor
12r-24
(2r-4) x 6
6(2r-4)
Simplify the following expression by combining like terms.
6n-2n+5
4n+5
Solve the following equation by using the Distributive Property.
10(-8+m)=40
12
Solve the following equation by combining like terms.
-1+7b+8b=-16
-1
Name the axiom: x+0=x.
What is the additive identity axiom?
Factor out the common factor
-28+35b
-7(4-5b)
Simplify the following expression by combining like terms.
3r+1-r+2
2r+3
Solve the following equation by using the Distributive Property.
-5(-8+n)=60
-4
Solve :
4(r+1)=6-2(1-2r)
what is Identity?
Name the property
if x=y, then xz=yz
What is the multiplication property of equality?
Simplify the following expression using the Distributive Property.
5(1+4x)+6(5x+6)
50x+41
Simplify the following expression by combining like terms.
x+8+4+4x+12+2x
7x+24
Solve the following equation by using the Distributive Property.
32(-40+n)=-1344
-2
Solve:
5.9-1.7t=3(4.1-t)
What is t is approximately equal 4.92?
Name the property:
0*x=0
What is the multiplication Property of 0.
Simplify the following expression using the Distributive Property.
-2(4+3p)+2(8+8p)
8+10p
Simplify the following expression by combining like terms.
-7+4k+k-10+15+8k-22
13k-24
Solve the following equation by using the Distributive Property.
-16(7+p)=-720
38
Solve the following equation by combining like terms.
4b-6+8b-3b+23-18+12b=-22
-1