Simplifying Expressions
Combine like terms
2x+3+4x
6x+3
Re-write using the Commutative Property.
4+8
8+4
Re-write using the Associative Property.
3+(4+6)
(3+4)+6
Expand. Combine any like terms.
6(3+4x)
18+24x
Explain the Commutative Property.
[Answers vary]
When you change the order of the terms and it still equals the same thing.
Combine like terms.
3y+6+9y+x
12y+x+6
Re-write using the Commutative Property.
3 * g
g * 3
Re-write using the Associative Property.
g+(u+p)
(g+u)+p
Expand. Combine any like terms.
b (7+10)
b7+b10 ----> b17
Explain the Identity Property.
[Answers vary]
The Identity Property of Multiplication means you can multiply anything times 1 and it equals the same thing.
Combine like terms.
x2+6x-3x+9
Is this showing the Commutative Property? Yes or no?
6 * y = y* 6
Yes
Re-write using the Associative Property.
g(h*i)
(gh)i (g*h)*i (gh)*i
Is this showing the Distributive Property? Yes or no? Explain your answer.
9+(5+y) = (9+5)+y
No because... [answers may vary]
that is showing the Associative Property.
Explain the Associative Property.
[Answers vary]
When the terms stay the same but the parentheses move.
Is this correct? Yes or no? Explain your answer.
3x+9+4x simplifies to 16x
This is not correct because... [answers vary]
3x and 4x are like terms but not 9.
Is this showing the Commutative Property? Yes or no?
tj = jt
Yes
Is this showing the Associative Property? Yes or no? Explain your answer.
7(x+4) = 7x+28
No because... [answers may vary]
this is showing the Distributive Property.
Expand. Combine any like terms.
x(h+t)
xh+xt
Explain the Distributive Property.
[Answers vary]
When the outer term gets distributed to the terms inside of the parentheses.
Combine like terms
6x+10y+2h+3x+y-h
9x+11y+h
Is this showing the Commutative Property? Yes or no?
6+(y+10) = (6+y)+10
No (but what property is it actually showing?)
Is this showing the Associative Property? Yes or no? Explain your answer.
(9+y)+6 = 9+(y+6)
Yes because... [answers may vary]
the terms stayed the same but the parentheses moved.
Expand. Combine any like terms.
x + 5(2+x)
x+10+5x ----> 6x+10
How tall is Ms. Chavez? (Feet & inches)
Ms. Chavez 5 feet and 5 inches tall.