Order of Operations
What operation can be done the same time as division?
Multiplication
True or False
An example of the inverse property is
3 + 0 = 3
** Write your answer down for me to check. Do not call it out.
False,
Inverse Property: a + (-a) = 0
Simplify both
x^2 * 3x
x^2 + 3x^2
3x3
4x2
Simplify.
(-3x2 - 6x + 8) + (8x2 + 7x - 14)
5x2 + x - 6
(x - 1)2
x2 - 2x + 1
Divide.
(n^2 + 5n - 50)/ (n-5)
n + 10
25m2 - 40m + 16
(5m - 4)2
Solve when x = 4.
7x - 3x2 + 9
-11
Give an example of the identity property of multiplication.
Answers will vary.
Identity Property of Multiplication:
a*1 = a
Simplify
(x3)3
x9
(x2 + x - 5) - (3x2 + 7x - 14)
-2x2 - 6x + 9
Expand.
(2x + 4y)2
4x2 + 16xy + 16y2
Divide.
(a^3 + 13a^2 + 39a - 18)/ ( a+6)
a2 + 7a - 3
Factor.
4a2 - 25
(2a - 5)(2a + 5)
Solve.
5^3 + (8-4)/2 * ( 15 -2)-12
135
Answers will vary.
Distributive Property: a(b + c) = ab + ac
Write without denominators.
(6y^2z^3)/(3x^2y^4)
2x-2y-2z3
Simplify.
(x2 - 2y)(x2 + 2y)
x4 - 4y2
Expand.
(y + 1)3
y3 + 3y2 + 3y + 1
Divide.
(8p^3 + 2p^2 - 10) / (p-1)
8p2 + 10p + 10
Factor.
2n2 + 16n + 32
2(n+4)2
or
(2n+8)(n+4)
Solve.
(125-13*2+34)/(3*4-5*(24+5)
-1
Which one is the commutative property?
1.) c + (b + a) = (c + b) + a
2.) (c + b) + a = a + (c + b)
**Write the number on your board and do not say it out loud. Raise your hand and I will come check it.
2
Write without negative exponents.
(8x^2y^5)/(2x^4y
(4y^4)/x^2
Simplify.
(4x - 5)(2x2 + 5x - 5)
8x3 + 10x2 - 45x + 25
(2x - y)3
8x3 - 12x2y + 6xy2 - y3
Divide.
(x^3 + 3x^2 - 2x + 6)/ (x-1)
x^2 + 4x + 2 + 8/(x-1)
Factor.
5b2 - 125
5(b+5)(b-5)
Solve.
6/4-(-10-3)*5
66 1/2
Give an example of the associative property.
Associative Property: (x + y) + z = x + (y + z)
Write without negative exponents.
(65x^3y^-1z)/(100c^3x^-4z^-3)
(13x^7z^4)/(20c^3y)
(2y2 + 3y - 4)(y2 - 6y + 2)
2y4 - 9y3 - 18y2 + 30y - 8
(2k + 4w)3
8k3 + 40k2w + 64kw2 + 32w3
(2x^4 + 4x^2 - 1) / (x+1)
2x^3 - 2x^2 + 6x - 6 + 5/(x +1)
Factor.
3k2 - 10k + 7
(3k - 7)(k - 1)