Order of Operations
(2^3 + 6) xx3
Evaluate the expression, when a = 3
a^3 - 9
a^3 - 9
3^3 - 9
27 - 9
18
Write the verbal expression as an algebraic expression.
The sum of 6 and a number, decreased by 15
(6 + f) - 15
or
6 + f - 15
Evaluate the expression, when k = 8
(k - 5)^2 - 30
(k - 5)^2 -30
(8 - 5)^2 - 30
3^2 - 30
6 - 30 = -24
What does the term quotient mean?
Division
(4 + 2xx3)^2-72
Evaluate the expression, when b = 64
b/8 - 15
b/8 - 15
64/8 - 15
8 - 15
8 + (-15) = -7
Write the verbal expression as an algebraic expression.
A number cubed increased by 20
g^3 + 20
(36/9 xx 3) - 2^5
(36/9xx3) - 2^5
(4xx3) - 2^5
12 - 2^5
12 - 32 = -20
What is a variable?
A letter in an expression
b+12
B is the vaiable
27/3 + 9xx3 - 14
Evaluate the expression, when c =2
(c + 6)^2 - 52
(c + 6)^2 - 52
(2 + 6)^2 - 52
8^2 - 52
64 - 52 = 12
Write the verbal expression as an algebraic expression.
The product of 12 and a number, increased by 17
12h + 17
Write the verbal expression as an algebraic expression.
The product of 8 and a number increased by 3, squared, and decreased by 4.
(8v + 3)^2 - 4
What is a constant?
A number in an expression n +8.
2^4 + (4^2 + 6)
38
Evaluate the expression, when d = 9
(d - 6)^3 - 30
(d - 6)^3 - 30
(9 - 6)^3 - 30
3^3 - 30
27 - 30
27 + (-30) = -3
The sum of a number and 5, cubed, and increased by 12
(j + 5)^3 + 12
Simplify the expression and list the property you used to simplify with.
5c + 3(3 + 3c)
Distributive and Commutative Properties
5c + 9 + 9c
5c + 9c + 9
14c + 9
What is the order of operations?
PEMDAS
6^2 + (42/7 +3 )^2 - 100
17
Evaluate the expression when e = 2
e^3 + 2xx3
e^3 + 2xx3
2^3 + 2xx3
8 + 2xx3
8 + 6 = 14
Write the verbal expression as an algebraic expression.
The quotient of a number and 7 decreased by 9.
k/7 - 9
How are algebraic expressions and equations similar and different?
Algebraic expressions and equations both have variables, operations, and coefficients and/or constants. They are different because equations have a solution and an equals sign.
Identify the constant, variable & exponent
b2+ 12=
b= Variable
2= the exponent
12= constant