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AF4.1 Solve 2-step linear equations… interpret the solutions… & verify the reasonableness of the results. Also:

3.4 Solving Equations with Variables on Both Sides, p129 Warm up. Name the property. 2. │ 14 - 24 │-│ - 3 - 7 │ =. 1. 3. Solve. AF4.1 Solve 2-step linear equations… interpret the solutions… & verify the reasonableness of the results. Also: AF1.1.

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AF4.1 Solve 2-step linear equations… interpret the solutions… & verify the reasonableness of the results. Also:

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  1. 3.4 Solving Equations with Variables on Both Sides, p129 Warm up Name the property. 2. │14-24│-│- 3 - 7│= 1. 3. Solve. AF4.1 Solve 2-step linear equations… interpret the solutions… & verify the reasonableness of the results. Also: AF1.1 LO:I will interpret equations with variables on both sides by clearing the fractions/combining like terms, collecting variable terms on one side, & simplifying. Use LCD to clear fractions Helpful Hint

  2. Real Life Applications 1. The square and the triangle have equivalent perimeters. Formulate and interpret an algebraic equation to find the perimeter of the triangle. Write an expression describe the perimeter of the square. Write an expression to describe the perimeter of the triangle. 2. Florist A sells a rose bouquet for $40 plus $3 for every rose. Florist B sells a similar bouquet for $26 plus $5 for every rose. Find the number of roses that would make both florists' bouquets cost the same price. What is the price? Florist A = Florist B If $40 + $3r is Florist A’s cost, then ____________________ is Florist B’s cost Simplify. Collect the variable terms on one side. Undo to ________________ the variable. The two bouquets from either florist would cost the same when purchasing ___ roses.

  3. 1st simplify by combining like terms or clearing fractions. • 2nd add or subtract to collect variable terms on one side of the equation. • Finally, use properties of equality to isolate the variable. 3. 10z – 15 – 4z = 8 – 2z – 15 1st Clear the fractions , Multiply by the LCD ___. Use __________________ Property. Simplify. Combine ______________. Collect the ______ terms on one side. Undo to _____________ the variable. 4. Day 1- 3.4 RM & 3.4 SR p133 #39-48even

  4. 1st simplify by combining like terms or clearing fractions. • 2nd add or subtract to collect variable terms on one side of the equation. • Finally, use properties of equality to isolate the variable. 5. 4x + 6 = x 6. 9b – 6 = 5b + 18 7. 12z – 12 – 4z = 6 – 2z + 32 8. 1st Clear the fractions , Multiply by the LCD ___. Use Distributive Property to kiss those __________ away. Simplify, collect, isolate.

  5. Remember: When variables in an equation are eliminated, the resulting statement is false, the equation has no solution. Your solution using substitution. 9. 9w + 3 = 9w + 7 3 ≠ 7 Therefore: NO SOLUTION 10. 2(3x + 11) = 6x + 4 11. Marla’s Gift Baskets sells a muffin basket for $22.00 plus $2.25 for every hot chocolate. A competing service sells a similar muffin basket for $16.00 plus $3.00 for every hot chocolate. Find the number of hot chocolates that would make both baskets cost the same price. Muffins from either bakery would cost the same when purchasing ___ hot chocolates.

  6. 12. 3b – 2 = 2b + 12 13. 3w + 1 = 3w + 8 14. 2z – 12 – 4z = 6 – 2z + 32

  7. Translate and solve. 15. Six plus the product of 3 and a number is the same as the product of 9 and the number. 16. A number decreased by 25 is the same as 10 minus 4 times the number. Error Analysis 17. 2 Day 2- 3.4p132 #18, 20, 32, 34, 36 make sure you show your work!

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