Warm Up #16 Simplify each expression by combining like terms.

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Presentation transcript:

Warm Up #16 Simplify each expression by combining like terms. -5x + 4y – 9x – 10 – y + 4 4(y + 6) – 3(6x – 5) 12 + 9(2y + 3) – 19(3y)

Chapter 1 – Tools of Algebra 1.9 – Write and Solve Algebraic Expressions SWBAT solve word problems by evaluating Algebraic expressions Chapter 1 – Tools of Algebra

The first step in translating verbal phrases into algebraic expressions is to choose a variable and a quantity for the variable to represent. This is called writing an algebraic expression.

Translate each phrase into an algebraic expression… Twelve points more than the Dolphins scored ______________________________ Four times a number decreased by 6 ______________________________ The quotient of a number and four, minus five ______________________________ Five goals less than the Pirates scored ______________________________

Quite often, algebraic expressions can be used to represent real-world situations.

Real Life Situations You purchase some notebooks for $2.95 each and a package of pens for $2.19 each. Write an expression for the total amount (in dollars) that you spend. Use n to represent notebooks and p to represent pens.

(2) The rental cost for a campsite includes a $25 (2) The rental cost for a campsite includes a $25.00 one time flat fee plus $2.00 per person. Write an expression for the total cost (in $). Find the total cost for 5 people.

(3) The Johnstown Soccer League ranks each team in their league using points. A team gets three points for a win and one point for a tie. Write an expression that can be used to find the total number of points a team receives. Suppose in one season, the North Rockets had 17 wins and 4 ties. How many points did the North Rockets receive in the season?

(4) You join an online music service (4) You join an online music service. The total cost (in dollars) of downloading 3 singles is $0.99 each and $9.95 each. Write an expression to represent this situation. Find the total cost of the purchase. You have $25.00 to spend. How much money will you have left over?

(5) Tickets to a science museum cost $19. 95 each. There is a $3 (5) Tickets to a science museum cost $19.95 each. There is a $3.00 one time charge for each order no matter how many tickets you ordered. Write an expression for the cost (in dollars) of ordering tickets. Find the total cost if you order 5 tickets.

(6) Due to gravity, objects weigh three times as much as Earth as they do on Mercury. Suppose the weight of an object on Mercury is w. Write an expression for the object’s weight on Earth. How much would an object weigh on Earth if it weighs 25 pounds on Mercury?