Writing Algebraic Expressions
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
Which property proves 13m+2 is equivalent to 2+13m?
Commutative Property
We evaluate algebraic expressions by using
substitution
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
Use the distributive property to write an equivalent expression for 5(x+4).
5x+20
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)
Simplify 6(3n - 8)
18n - 48
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
A coefficient is ...
A number in front of a variable, connected to it, being multiplied to it
Use the distributive property in reverse order to write an equivalent expression for 36 + 12c.
6(6 + 2c)
Evaluate the expression 15 + 3v2 when v = 10.
315
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
Simplify the expression 7(3x + 8x - 4)
7(11x - 4)
77x - 28
Use the order of operations to solve the following numerical expression:
92.3 - (3.2/0.4) x 23
28.3
Write an equivalent expression for
4x2 + x + 4 + 23 + x
4x2 + 2x + 12