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**Test Review**Table of Contents Basic Number Problems Slide 3 Number and Money Problems Slide 33 Age and Digit Problems Slide 48 Mixture Problems Slide 75 Motion (D=RT) Problems Slide 90 Test Review Problems Slide 98**Systems of Equations**chapter 6 Word Problems: Money**Ex #1**1 taco 1 milk Total $2.10 2 taco 3 milk Total $5.15 Find the cost of a taco Define variables:**Ex #1**1 taco 1 milk Total $2.10 2 taco 3 milk Total $5.15 Find the cost of a taco Write two equations:**Ex #1**Solve the system**Ex #1**1 taco 1 milk Total $2.10 2 taco 3 milk Total $5.15 Find the cost of a taco**#2**Four Oranges and five apples cost $3.56. Three oranges and four apples cost $2.76. Find the cost of an orange. Solve the system Define variables: Let r be the cost of an orange Let a be the cost of an Apple Write two equations E1 E2 An orange is $0.44**Ex. #3**A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many quarters are in the jar? Define variables:**Ex. #3**A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many quarters are in the jar? Define variables: E1 Write two equations E2**Ex. #3**A jar of dimes and quarters contains $15.25. There are 103 coins in all. How many quarters are in the jar? Define variables:**Ex. #4**Combined, Peyton and Eli have $106.75. Peyton has $43.75 more than Eli. How much money does Peyton have? Define variables: Write two equations E1 E2**#1**At a football game, a popcorn and a soda purchased together costs $4.00. Three popcorns and five sodas would cost $16.50. What is the cost of a single soda? Let p be the cost of a popcorn Define variables Let s be the cost of a soda E1 Write two equations E2**#1**At a football game, a popcorn and a soda purchased together costs $4.00. Three popcorns and five sodas would cost $16.50. What is the cost of a single soda? Let p be the cost of a popcorn Let s be the cost of a soda E1 E2**#2**Four apples and five bananas cost $3.75. Six apples and two bananas cost $2.82. What is the cost of a single banana? Let a be the cost of 1 apple Define variables Let b be the cost of 1 banana E1 Write two equations E2**#2**Four apples and five bananas cost $3.75. Six apples and two bananas cost $2.82. What is the cost of a single banana? Let a be the cost of 1 apple Let b be the cost of 1 banana**#3**A vending machine takes only dimes and quarters. There are 113 coins in the machine totaling $17.60. How many quarters are in the machine? Let d be the number of dimes Define variables: Let q be the number of quarters E1 Write two equations E2**#3**A vending machine takes only dimes and quarters. There are 113 coins in the machine totaling $17.60. How many quarters are in the machine? Let d be the number of dimes Let q be the number of quarters**#4**There are 40 coins in Jenny’s coin purse – all dimes and nickels. All together it adds to $2.65. How many nickels are in Jenny’s purse? Let d be the number of dimes Define variables: Let n be the number of nickels Write two equations**#4**There are 40 coins in Jenny’s coin purse – all dimes and nickels. All together it adds to $2.65. How many nickels are in Jenny’s purse? Let d be the number of dimes Let n be the number of nickels**#5**Combined, Bart and Lisa have $62.75. Lisa has $13.75 more than Bart. How much money does Bart have? Let L be Lisa’s money Define variables: Let B be Bart’s money Write two equations**#6**Otis has three times as much money as Milo. Together they have $60.84. How much money does each one of them have? Let t be Otis’ money Let m be Milo’s money**Systems of Equations**chapter 6 Basic Word Problems:**Example 1**The sum of two numbers is 49. One number is 13 less than the other. Find the numbers. Define variables: Solve the system Let x be the larger number Let y be the smaller number Write two equations E1 E2**Example 2**The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers? Define variables: Let x be the larger number Let y be the smaller number Write two equations E1 E2**Example 3**The sum of a number and twice another number is 13. The first number is 4 larger than the second number. What are the two numbers? Solve the system Define variables: Let x be the first number (larger) Let y be the second number Write two equations E1 E2**#3**The sum of two numbers is 82. One number is 12 more than the other. Find the larger number. Define variables: Let L be the larger number Let S be the smaller number Write two equations E1 E2**#3**The sum of two numbers is 82. One number is 12 more than the other. Find the larger number. Define variables: Let L be the larger number Let S be the smaller number Write two equations E1 E2**#3**The sum of two numbers is 82. One number is 12 more than the other. Find the larger number. Define variables: Solve the system Let L be the larger number Let S be the smaller number Write two equations E1 E2**#4**The difference between two numbers is 6. Ten times the smaller number is six times the larger. Find the numbers. Define variables: Solve the system Let L be the larger number Let S be the smaller number Write two equations E1 E2**#5**The sum of a number and twice another number is 37. The first number is 10 larger than the second number. What are the two numbers? Define variables: Solve the system Let L be the larger number Let S be the smaller number Write two equations E1 E2**#6**The product of 4 times the sum of a number and 3 is another number. If the sum of the numbers is 67, what is the smallest of the two numbers? Define variables: Solve the system Let x be one number Let y be the “other” number Write two equations E1 E2**Systems of Equations**chapter 6 More Word Problems:**#1**Farmer Bob had 25 animals in the barn – all of them either cows or chickens. He counted 66 legs in all. How many cows are in the barn?**#2**The price of a ticket for the AVHS basketball game is $2.75 for a student, but only $2.25 if you have a discount card. One ticket taker sold 59 tickets for $141.75. How many students didn’t use a discount card? Let x be the number of students w/o discount cards Let y be the number of students with discount cards**#3**At Randy’s bike shop, they only work on bicycles and tricycles. When Randy disassembled all the bikes and trikes he ended up with 34 seats and 89 wheels. How many tricycles does he have in his shop?**#4**Sydney took a math test that had 32 questions on it and scored 111 points. Each correct answer was awarded 5 points and for each wrong answer two points were deducted. How many questions did she miss on her test?**#5**Will set a school record by scoring 30 points in his basketball game. What was amazing is that he scored all his points without a single free-throw. Out of the 13 baskets that he made, how many were 3-point shots?**#6**Jackie’s coin purse had only dimes and quarters in it. There were 5 more dimes than quarters, and the total amount of money was $7.85. How many dimes were in the purse?**A science test has 25 questions on it and is worth a total**of 66 points. The true/false questions are worth 2 points each and the rest of the questions are worth 3 points each. How many true/false questions are on the test? #7 Let x be the number of T/F questions Let y be the number of “other” questions**#8**At a movie theater, tickets cost $9.50 for adults and $6.50 for children. A group of 7 moviegoers pays a total of $54.50. How many adults are in the group? Let a be the number of adults Let c be the number of children**#1**At the baseball game field level seats cost $9.50 each, while seats in the second deck cost $6.25. If a ticket seller sold 52 tickets and collected $425.75, how many second deck seats did she sell? Let f be the number of field level tickets. Let s be the number of 2nd deck tickets.**#4**A History test has 40 questions on it and is worth a total of 174 points. The true/false questions are worth 3 points each and the rest of the questions are worth 5 points each. How many true/false questions are on the test?**A jar contains quarters and dimes. There are 15 more**quarters than dimes. The total amount of money in the jar is $23. How many quarters are in the jar? #6**#7**At the coffee shop, two bagels and three muffins cost $12.45. Three bagels and five muffins cost $20.00. What is the cost of a single bagel? Let b be the cost of a bagel Let m be the cost of a muffin E1 E2**#10**The sum of two integers is 35 and the difference between the same two integers is 81. What is the smaller integer? Let L be the larger number Let S be the smaller number E1 E2**#9- Bonus**Haley was going to be paid to unpack a box of 125 delicate crystal ornaments. She would be paid 75 cents for each ornament unpacked, but would be charged $2.50 for any that she broke. After finishing the job she was paid $74.25. How many ornaments did she break? Let x be the number of ornaments unpacked successfully. Let y be the number of ornaments broken**Systems of Equations**chapter 6 • Basic Word Problems: • Age • Number-Digit**#1**The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 54 more than the original number. What is the original number? Let t be the tens digit of the original number Let u be the units (ones) digit of the original number Original number New number E1: E2:**#2**The sum of the digits of a two-digit number is 7. When the digits are reversed, the new number is 45 less than the original number. What is the original number? Let t be the tens digit of the original number Let u be the units (ones) digit of the original number Original number New number E1: E2: