Order of Operations
Please explain what GEMS or PEMDAS stands for.
Grouping, Exponents, Multiplication and Division, Subtraction and Addition
or
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Which two of the following are like terms?
x, 6x3, 7xy, 8x, 9x(x)
x and 8x
According to the distributive property, a(b+c)=?
ab+ac
a+(b+c)=(a+b)+c is a statement of which property?
The Associative Property
(-2)-(-9)=?
7
Simplify:
3+2*4
11
Simplify: 7x+3-9x+4
-2x+7
Distribute: -x(x-4)
-x2+4x
Name two operations that are commutative for all real numbers.
Mentally multiply
13*25
325
Simplify:
(9-4^2)+7*(6-8+3)
0
Expression A and B are Equivalent. Find the value of m and n.
A=5y-3x+2+6x-14y+3
B=5+my+nx
m=-9
n=3
Simplify 7-(-4x+3-2x)+3
6x+7
Which property are we using if we say that
(y+1)(y-6)=y(y-6)+1(y-6) ?
The Associative Property
If x=7, what is x2?
49
Name two ways that numbers in an expression can be part of groups
They can be on top of or below a division line, or grouped with parentheses/brackets
A rectangle has a width of 4x+3 and a length of 7x-2. Write and simplify an expression for the perimeter of the rectangle in terms of x.
22x+2
Simplify completely: 9k(3k-12)+4k(3-2k)
19k2-96k
Provide a statement of the commutative property of multiplication using two variables, a and b.
a*b=b*a
Write (or say)
132/176
as a completely simplified fraction.
3/4
Simplify:
8-:4*2+6-6+7-3^2(2+2)
-25
Let y=3x-4z+2. What happens to y if x increases by 3 and z increases by 2?
y increases by 1
3(x+3)-4(z+2)+2=3x+9-4z-8+2=3x-4z+3=3x+4z+2+1=y+1
DAILY DOUBLE (1000pts) :
Simplify completely (x+9)(x-9)
x2-81
Give a counterexample to show that the associative property of division does not exist.
Answers may vary; ex. 3/(6/3) is not equal to (3/6)/3
What is
sqrt(121x^4) ?
11x2