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Homework # 9 – Word Problems

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1 Homework # 9 – Word Problems
pg 145 # 38 Tyler paid $124 to get his car repaired. The total cost for the repairs was the sum of the amount paid for parts and the amount paid for labor. Find the amount of time it took to repair his car. pg 145 # 41 A guitar store offers a finance plan where you give a $50 down payment on a guitar and pay the remaining balance in 6 equal monthly payments. You have $50 and you can afford to pay up to $90 per month for a guitar. Can you afford a guitar that costs $542? Explain.

2 Section 3.3 – Solve Multi-Step Equations
Example # 1 Solve for x : Write the original equation. Combine Like Terms Isolate the Variable, Add 7 to each side Simplify Divide each side by 10. Simplify Check your Solution.

3 Section 3.3 – Solve Multi-Step Equations
Example # 2 Solve for x : Write the original equation. Distribute -7 into (x – 2) Combine Like Terms Isolate the Variable, Subtract 14 from each side Simplify Divide each side by -3. Simplify Check your Solution.

4 Section 3.3 – Solve Multi-Step Equations
Example # 3 Which Equation represents Step 2 in the solution process Step 1 : Step 2 : Step 3 : Step 4 : A B C D

5 Section 3.3 – Solve Multi-Step Equations
Example # 4 Solve for x : Write the original equation. Check your Solution. Multiply each side by 5/3, The reciprocal of 3/5 Combine Like Terms Isolate the Variable, Add 4 to each side Simplify Divide each side by 2. Simplify

6 Section 3.3 – Solve Multi-Step Equations
Example # 5 Mr. Monks and his family took a 7-day(168 hours), 90-mile canoe trip down the Allagash River. If they paddled at an average rate of 2.5 miles per hour, how many hours did they spend NOT paddling? Write a verbal model. Length of Canoe Trip Down the Allagash River = (miles) Average Rate of paddling (miles per hour) Total Time * spent paddling (hours) Let x be the amount of time NOT paddling. Then 168 – x is the amount of time spent paddling 90 = 2.5 * (168 – x) Write Equation 90 = 420 – 2.5x Distribute 2.5 into (168 – x) -330 = – 2.5x Subtract 420 from each side 132 = x Divide -2.5 from each side Mr. Monks and his family spent 132 hours NOT paddling down the Allagash River. So, Mr. Monks and his family spent 36 hours paddling down the Allagash River.

7 Section 3.3 Homework # 10 pg # 4 – 40 mult. of 4;


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