Factoring
Factoring using GCF
3x2-18x
3x(x-6)
Add (4x - 5) + (-7x - 10)
-3x - 15
What operation does the word quotient refer to?
Division
What is the value of 3x - 4y is x = 2 and y = -1
3(2) - 4(-1) = 10
a + b = b + a is an example of what property
commutative
Factor using DOPS
x2-100
(x-10)(x+10)
What is (9x2 + 3x - 2) - (2x2 + x + 8)
7x2 + 2x - 10
What is twice a number minus 7
2x - 7
Simplify the following fraction
(24x2)/(36x)
2x/3
What is the acronym used to remember the order of operations?
PEMDAS
Factor using product/sum
a2 - 14a - 51
(a - 17)(a + 3)
Subtract (5x2 - 4x + 2) from (5x + 1)
-5x2 + 9x - 1
Write "one half of the difference between 4 and a number"
(4 - x)/2
Evaluate the following expression is a=1, b =2, and c=-3
|4ac+b|
|4(1)(-3) + (2)| = 10
a + (b + c) = (a + b) + c is an example of what property?
associative
Factor completely
75m3 - 108m
3m(5m + 6)(5m - 6)
Multiply using box method or double distributing
(3x + 11)(-2x - 2)
-6x2 - 28x - 22
Write the equation represented by "five times a number plus 3 is twice the number minus 10"
Simplify the following fraction (4x6y3)/(10x8y)
(2y2)/(5x2)
What does MADS mean?
Multiplying variables, you add the exponents
Dividing variables, you subtract the exponents
Factor Completely
6y2 + 48y + 42
6(y + 7)(y + 1)
Simplify this expression
(4x2 + 2x - 6)(x - 9)
4x3 - 34x2 - 24x + 54
write the following as an algebraic expression:
"the quotient of a number and 5, minus 16, plus the sum of a different number and 1"
(x/5) - 16 + (y + 1)
Simplify 4√3 - 2√12 + 3√27
9√3
A rectangular room that is 12 feet by 15 feet needs new flooring. If the flooring is $1.79 per square foot, how much will it cost to add new flooring to the room?
Area = length x width
12(15)($1.79) = $322.20