1. REVIEW SYSTEMS OF EQUATIONS

2. S ET UP THE FOLLOWING EQUATIONS TO SOLVE USING S UBSTITUTION

4. S ET UP THE FOLLOWING EQUATIONS TO SOLVE USING E LIMINATION

6. S ET UP THE FOLLOWING WORD PROBLEM WITH LET STATEMENTS AND EQUATIONS Clive is training to run in a marathon. Each day he runs and walks a total of 24 km. If the amount he runs is equal to 5 km more than twice as far as he walks, how many kilometres does he run?

7. S ET UP THE FOLLOWING WORD PROBLEM WITH LET STATEMENTS AND EQUATIONS Clive is training to run in a marathon. Each day he runs and walks a total of 24 km. If the amount he runs is equal to 5 km more than twice as far as he walks, how many kilometres does he run? Let r represent the number of km run Let w represent the number of km walked r + w = 24 r = 2w + 5

8. S ET UP THE FOLLOWING WORD PROBLEM WITH LET STATEMENTS AND EQUATIONS Tim invested $24 000. He invested part of it at 8% interest per year and the rest at 10% interest per year. His total interest income for the year is $2300.

9. S ET UP THE FOLLOWING WORD PROBLEM WITH LET STATEMENTS AND EQUATIONS Tim invested $24 000. He invested part of it at 8% interest per year and the rest at 10% interest per year. His total interest income for the year is $2300. Let t represent the amount invested at 10% Let e represent the amount invested at 8% t + e = 24000 0.1t + 0.08e = 2300

10. S ET UP THE FOLLOWING WORD PROBLEM WITH LET STATEMENTS AND EQUATIONS Mr. Turner bought 12 pizzas for a party, some at $5.50 plus tax (cheese, pepperoni) and some at $7.99 plus tax (deluxe). He gave $110 to the delivery person which included a tip of approximately $15. How many of each type of pizza were ordered?

11. S ET UP THE FOLLOWING WORD PROBLEM WITH LET STATEMENTS AND EQUATIONS Mr. Turner bought 12 pizzas for a party, some at $5.50 plus tax (cheese, pepperoni) and some at $7.99 plus tax (deluxe). He gave $110 to the delivery person which included a tip of approximately $15. How many of each type of pizza were ordered? Let p represent the number of pepperoni pizzas Let d represent the number of deluxe pizzas p + d = 12 1.13(5.5p + 7.99d) = 110 - 15

12. C HALLENGE : S OLVE THE LINEAR SYSTEM

13. Isolate y in  Sub y into  C HALLENGE : S OLVE THE LINEAR SYSTEM    x6  x8

14. C HALLENGE : S OLVE THE L INEAR S YSTEM Sub x = 12 into  Therefore the POI = (12,8) Check in  Check in 

15. C HALLENGE : S OLVE THE PROBLEM Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $3.50. A week later, he bought 4 pounds of chocolate and 1 pound of licorice, paying $5.50. The next week, he bought 3 pounds of licorice, 1 pound of jelly beans, and 1 pound of chocolate for $3.75. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 3 kinds of candy?

16. C HALLENGE : S OLVE THE PROBLEM Let j represent the cost of jelly beans per pound Let c represent the cost of chocolate per pound Let L represent the cost of licorice per pound j + 2c = 3.5 4c + L = 5.5 3L + j + c = 3.75 j + c + L = ?

17. C HALLENGE : S OLVE THE PROBLEM Isolate j in 1 j = 3.5 – 2c Isolate L in 2 L = 5.5 – 4c Sub j and L into 3 3(5.5 - 4c) + 3.5 – 2c + c = 3.75 16.5 – 12c + 3.5 – 2c + c = 3.75 -13c = -16.25 c = 1.25 Sub c = 1.25 in 1 j = 3.5 – 2(1.25) j = 1 Sub c = 1.25 in 2 L = 5.5 – 4(1.25) L = 0.5 Therefore jelly beans cost $1/lb, chocolate is $1.25/lb and licorice is $0.50/lb. 1 pound of each would cost $2.75.