An algebraic expression is a math phrase that uses symbols like numbers, variables (such as x or y), and operations (+, -,, ÷). Here are some algebraic expressions: x + 1 a – b 3n Definition the sum of a number and 1 the difference of a and b A number tripled

Vocabulary associated with algebraic expressions: The parts of an expression. A number that doesn’t change. An unknown number. Often represented by “x”. The number that is multiplied by the variable.

- Operations - Sum - Difference - Product - Quotient + ÷ − What other words can be used to represent these symbols? Vocabulary associated with algebraic expressions:

Translate this verbal expression into symbols … The sum of x and five.

Translate this verbal expression into symbols … Double a number

Translate this verbal expression into symbols … The quotient of a number and four

Translate this verbal expression into symbols … The difference of w and six.

Translate this algebraic expression into words … n + 4

Translate this algebraic expression into words … 2(y + 3 )

For the school dance only three members from ASB sold tickets. James sold ten more tickets than Bonnie, and Bonnie sold twice as many tickets as Mike. Write an algebraic expression to represent how many tickets all three members sold in total.

IBE: A scalene triangle has three sides with different lengths. The lengths are 3x, 4x, and 5x. What is the perimeter of the triangle?

Equivalent expressions are equal when written in simplest form. Here are three equivalent expressions: 3x + 1 Definition = x + x + x + 1= 4x – x + 1 These expressions are all equal! This one is already simplified.

You can simplify expressions by combining like terms. 8x x x

Combining Like Terms 8x x x