Concepts
What is an algebraic expression?
A mathematical phrase that contains numbers, variables, and operations.
3 + 4
7
Carlos has x pencils. He buys 4 more.
X + 4
"A number plus 7"
x + 7
What is the coefficient in 8p?
8
What is a variable?
A letter that represents an unknown value.
2x when x = 5
10
A notebook costs c dollars. María buys 3 notebooks.
3c
"Five times a number"
5X
What is the variable in 12k + 3?
k
What is a coefficient?
The number that multiplies a variable.
Example: In 5x, 5 is the coefficient.
4n + 2 when n = 3
14
Pedro has x marbles. He gives away 5.
X - 5
Ten less than a number"
X-10
7m when m = 4
28
Identify the variable and coefficient in 9m.
5a − 4 when a = 6
26
A bus has y passengers. 12 more passengers get on.
y + 12
"The sum of a number and 12"
X + 12
"The product of 6 and a number"
6x
Name three parts that may appear in an algebraic expression.
Variables, numbers (constants), and operation symbols
3x + 2y when x = 4 and y = 5
22
A farmer has x chickens. He buys twice as many more chickens.
x + 2x=3x
"Three times a number decreased by 8"
3X-8
2x + 5 when x = 8
21