Writing Algebraic Expressions
Daily Double 200 pts
What 3 things does an algebraic expression have?
A number, a math operation symbol, and a variable
A variable is ...
A letter that represents an unknown number
Evaluate means ...
To solve
Evaluate the expression x + 4 for x = 10.
14
To simplify expressions, we combine ...
Like terms
What are 2 ways you could write an expression for "9 more than b"?
9 + b
b + 9
A term is ...
Part of an expression, separated with + and - signs
You can only evaluate algebraic expressions when ...
You know what the variable equals
Evaluate the expression 7.603 - y for y = 6.
1.603
Like terms have ...
The same variable with the same exponent
Pencils are sold in packages of 12. How would you write an expression for the total number of pencils in p packages?
12p
A constant is ...
A number by itself (no variable connected to it)
We evaluate algebraic expressions by using ...
Substitution
Evaluate the expression (2,305/n) - 200 when n = 5
261
Simplify the expression 2n + 5 + b - n + 3.
n + 8 + b
If Mrs. Rench wants to rent a van for one day, and the daily fee is $60 plus $0.25 per mile driven, write an expression that shows how much she will pay.
60 + 0.25m
Daily Double 800 pts
A coefficient is ...
A number in front of a variable, connected to it, being multiplied to it
Substitution is when ...
You replace the variable with the number given
Evaluate the expression 15 + 13v when v = 10.
145
Equivalent expressions are equal. Simplify the expressions to see if they are equivalent.
6(n + 2) and 12 + 6n
Yes
How much money will Mrs. Rench pay for a van for a day if the daily fee is $60 plus $0.25 per mile driven and she drives 40 miles?
60 + 0.25(40)
60 + 10
$70
Distributive Property means ...
To distribute a number or variable on the outside of parentheses to every term inside the parentheses using multiplication
After substituting the variable for the number, you evaluate expressions by using ...
The order of operations
Evaluate the expression 5x2 - 11 when x is 3.
34
Daily Double 1,000 pts
Write an equivalent expression for
4x2 + x + 4 + 23 + x
4x2 + 2x + 12