1. Lesson 5 (Algebraic Expressions)  What is an algebraic expression?  What is the difference between an expression and an equation?  A math phrase that has a combination of variables, cumbers, and operations.  An equation has an equal sign, and expression does not. You can solve an equation, you simplify an expression.

2. Lesson 5 (Algebraic Expressions)  Vocabulary in an expression:  Example:  5x + 8y - 10  Constant: Quantity that stays the same. A number by itself with no variable.  Variable: Quantity that changes, represented by a letter.  Coefficient: A number that multiples a variable, the number in front of the variable.

3. Lesson 5 (Algebraic Expressions)  What is a polynomial?  Monomial: Has one term.  Binomial: Has 2 terms.  Trinomial: Has 3 terms.  A polynomial is an expression that has addition and subtraction signs separating terms.  8, x 2, 5y, 4a/3  5y+8, 6x-2, 7y 2 -10  2x 2 + 5x +9  The sign in front of the number determines if it is positive or negative.

4. Lesson 5 (Algebraic Expressions)  Example  First, identify variables and label them.  Next, decide what operations are used.  Joe runs a car washing business. He charges $35 per car. His assistant Shawn can wash 1 more car per hour than Joe can.  Write an expression that represents the income they can earn in 6 hours.

5. Lesson 5 (Algebraic Expressions)  Example  Jake, Barb, and Felix all have part- time jobs after school. Jake earns $5 more per week than Felix, and Barb earns twice as much per week as Jake. The combined earnings are $115 per week.  Write an equation that can be used to find how much each student earns per week.

6. Lesson 5 (Algebraic Expressions)  Example  Jessica has been saving quarters and dimes in a jar.  Write an expression that represents the amount of money in the jar.

7. Lesson 5 (Algebraic Expressions)  Example  The diameter of the larger of 2 circles is 4 cm greater than the diameter of the smaller circle. The smaller circle has a radius of r.  Write an expression that represents the difference between the circumferences of the larger and smaller circles.