1. Simplifying Algebraic Expressions
Ch. 1.4
Simplifying Algebraic Expressions

2. There are three different ways in which a basketball player can score points during a game. There are 1-point free throws, 2-point field goals, and 3-point field goals. An algebraic expression can represent the total points scored during a game.

3. Write an algebraic expression to represent each situation.
A. the number of apples in a basket of 12 after n more are added
B. the number of days it will take to walk 100 miles if you walk M miles per day
12 + n
C. Lucy’s age y years after her 18th birthday
18 + y
D. the number of seconds in h hours
3600h

4. -a2 + 4ab – b2 for a=3;b=7 x2y – xy2 + 3y for x=2;y=5
Evaluate the expression for the given values of the variables.
-a2 + 4ab – b2 for a=3;b=7
x2y – xy2 + 3y for x=2;y=5
3) 4r – (16s – 4) for r = 3;s=

5. In your group, write down the things you might need to do or consider when you’re simplifying algebraic expressions.

6. Simplify the expressions. 1) 3x2 + 2x – 3y + 4x2
2) j(6k2 + 7k) + 9jk2 – 7jk
3) –3[2x – 2(y + 3y)] – 11y
4) a(a2 + 2a - 1)
a + 2

7. A travel agent is selling 100 discount packages
A travel agent is selling 100 discount packages. He makes $50 for each Hawaii package and $80 for each Cancun package.
Write an expression to represent the total the agent will make selling a combination of the two packages.
b)How much will he make if he sells 28 Hawaii packages?

8. Apples cost $2 per pound, and grapes cost $3 per pound.
Write and simplify an expression for the total cost if you buy 10 lb of apples and grapes combined.
b) What is the total cost if 2 lb of the 10 lb are apples?

9. Lesson Quiz: Part I
Write an algebraic expression to represent each situation.
1. the number of cards in a 52-card deck after n cards are dealt.
2. the number of days in W weeks
3. Evaluate: rq2 + 3qr + r2 for r = 5 and q = 2.
4. Simplify: 5h2 + 4k + 7h – 4h2.
52 – n 7W 75
h2 + 4k + 7h