Variables and Expressions
a number increased by 9
x + 9
7 + (9 - 32)
a + 0 = 0
additive identity
2(4 + n)
8 + 2n
he number in front of a variable
coefficient
two thirds of a number to the third power
2/3x3
3/4[ 4 / (7-4)]
1
a(0)= 0
9-54b
the number that stands alone in
constant
five less than four times a number
4x-5
[(25 - 5) /9] 11
33
4 + 8 = 8 + 4
Commutative
2(3x - y) + 5(x + 2y)
11x + 8y
can only be divided by 1 and itself
ten less than twice the difference of 9 and k squared
(9 - k2 ) - 10
6[32 -(2 + 3)2]
(a + b) + c = a + (b + c)
associative
6x2[3x - 4) + (4x + 2)
42x3 - 12x2
Like terms
same variables with the same exponents
twice the difference of x and y increased by five less than the quotient of x and 2y.
2(3x - y) + (x/2y -5)
Ginger is determining her monthly expenses. She has monthly rent, monthly utilities, weekly food expenses, and weekly auto expenses.
a. Write an algebraic expression for her monthly spending.
b. suppose her rent is $550, utilities are $115, food is $75, and auto is $125. Determine her total monthly expenses.
a. r + u + 4f + 4a
b. $1465
Simplify. Tell which number property you use in each step.
6(1/6) + 5(12/4 - 3)
1
The side lengths of a quadrilateral are:
6x + 1, 5(x-3), 11x + 10, and 6(x + 1).
What is the perimeter of the shape?
28x + 2
GCF and LCM
Greatest common factor- largest factor shared by 2 or more numbers
Least common multiple- smallest multiple shared by 2 or more numbers