Algebraic Expressions
Evaluate the expression:
7d
When d = 6
42
Write this as an expression (you do not need to solve):
the product of 30 and 9
30(9)
What is the commutative property?
Changing the order of addends or factors does not change the sum or product.
Use the distributive property to simplify:
4(x+6)
4x + 24
What is a variable?
A symbol that represents one or more numbers.
The letter
Evaluate the expression:
c + d
When c = 4 and d = 6
10
Write this as an expression:
14 more than a number x
x + 14
What is the associative property?
Changing the grouping of addends or factors does not change the sum or product.
Use the distributive property to simplify:
8(c-5)
8c - 40
What is a coefficient?
The numerical factor of a term that contains a variable.
The number paired with the letter
Evaluate the expression:
60 ÷ d
When d = 6
10
Write this as an expression:
8 fewer than 21
21 - 8
Simplify the expression:
7+(12+x)
19 + x
Use the distributive property to simplify:
6(4 + n)
24 + 6n
What are terms?
Each number, or variable by itself, or product of numbers and variables in an algebraic expression, is called a term.
A group of things
Evaluate the expression
4n - 3m
When n = 8 and m = 5
17
Write this as an expression:
A number Y minus 75
Y - 75
Simplify the expression:
5(11y)
55y
Use the distributive property to simplify:
7(3 + x + 4)
7x + 49
What is a constant?
A term without a variable.
A number alone that will not change
Evaluate the expression, when m = 4:
6(2m + 5)
78
Write this as an expression:
the quotient of 3 and a number Z
3 ÷ Z
Simplify the expression:
11.2 + (x + 14.5)
Use the distributive property to simplify:
9(w + 6) + 4
9w + 58
Identify the terms, coefficents, constants, and variables in this expression:
10x + 2
Terms: 10x, 2
Coefficients: 10
Constants: 2
Variables: x