WARMUP Today Warmup Check homework Notes A DICTIONARY

WARM-UP Today Warm-up Check homework Notes • A DICTIONARY THAT NORMALLY SELLS FOR $16. 50 IS ON SALE AT 40% OFF • WHAT IS THE DISCOUNT AMOUNT? • WHAT IS THE DICTIONARY’S SALE PRICE? Pressure; it can burst pipes or make diamonds

HOMEWORK CHECK

WARM-UP Today Warm-up Notes Practice Problems Homework • EXPRESS THE FOLLOWING AS ALGEBRAIC EXPRESSIONS • THE SUM OF A NUMBER AND 7 • FIVE MORE THAN A NUMBER • SEVEN LESS THAN A NUMBER • SEVEN MINUS A NUMBER Pressure; it can burst pipes or make diamonds

SECTION 2. 5 • OBJECTIVE: TRANSLATE ENGLISH PHRASES INTO ALGEBRAIC EXPRESSIONS • SOLVE ALGEBRAIC WORD PROBLEMS USING LINEAR EQUATIONS

ALGEBRAIC EXPRESSIONS FOR ENGLISH PHRASES • ENGLISH PHRASES • ALGEBRAIC EXPRESSION • THE SUM OF A NUMBER AND 7 • X+7 • FIVE MORE THAN A NUMBER; A NUMBER PLUS 5 • A NUMBER INCREASED BY 6; 6 ADDED TO A NUMBER • X+5 • X+6

ALGEBRAIC EXPRESSIONS FOR ENGLISH PHRASES • ENGLISH PHRASES • ALGEBRAIC EXPRESSION • A NUMBER MINUS 4 • X-4 • A NUMBER SUBTRACTED FROM 8 • 8 -X • SEVEN LESS THAN A NUMBER • SEVEN MINUS A NUMBER • NINE FEWER THAN A NUMBER • X-7 • 7 -X • X-9

STRATEGY FOR SOLVING WORD PROBLEMS USING EQUATIONS • STEP 1. READ THE PROBLEM CAREFULLY SEVERAL TIMES UNTIL YOU CAN STATE IN YOU OWN WORDS WHAT IS GIVEN AND WHAT THE PROBLEM IS LOOKING FOR. LET X REPRESENT ONE OF THE UNKNOWN QUANTITIES IN THE PROBLEM • STEP 2. IF NECESSARY, WRITE EXPRESSIONS FOR ANY OTHER UNKNOWN QUANTITIES IN THE PROBLEM IN TERMS OF X • STEP 3. WRITE AN EQUATION IN X THAT TRANSLATES, OR MODELS, THE CONDITIONS OF THE PROBLEM • STEP 4. SOLVE THE EQUATION AND ANSWER THE PROBLEM’S QUESTION • STEP 5. CHECK THE SOLUTION IN THE ORIGINAL WORDING OF THE PROBLEM, NOT IN THE EQUATION OBTAINED FROM

WHY ARE WORD PROBLEMS IMPORTANT? • THERE IS GREAT VALUE IN REASONING THROUGH THE STEPS FOR SOLVING A WORD PROBLEM. THIS VALUE COMES FROM THE PROBLEM-SOLVING SKILLS THAT YOU WILL ATTAIN AND IS OFTEN MORE IMPORTANT THAN THE SPECIFIC PROBLEM OR ITS SOLUTION

EXAMPLE • NINE SUBTRACTED FROM EIGHT TIMES A NUMBER IS 39. FIND THE NUMBER.

EXAMPLE 2 • ONLY ONCE, IN 1991, WERE THE WINNING AND LOSING SCORES IN THE SUPER BOWL CONSECUTIVE INTEGERS. THE NEW YORK GIANTS BEAT THE BUFFALO BILLS IN A NEARLY ERROR-FREE GAME. IF THE SUM OF THE SCORES WAS 39, DETERMINE THE POINTS SCORED BY THE LOSING TEAM, THE BILLS, AND THE WINNING TEAM, THE GIANTS.

RENTING A CAR • RENT-A-HEAP AGENCY CHARGES $125 PER WEEK PLUS $0. 20 PER MILE TO RENT A SMALL CAR. HOW MANY MILES CAN YOU TRAVEL FOR $335?

WHY ARE WORD PROBLEMS IMPORTANT? Today Grade 1 -30 Finish Packet • THERE IS GREAT VALUE IN REASONING THROUGH THE STEPS FOR SOLVING A WORD PROBLEM. THIS VALUE COMES FROM THE PROBLEM-SOLVING SKILLS THAT YOU WILL ATTAIN AND IS OFTEN MORE IMPORTANT THAN THE SPECIFIC PROBLEM OR ITS SOLUTION Objective: TLW identify and solve story problems.