# Pitt Community College W4 Solving Equations and Average Cost Exercises

I’m working on a algebra question and need support to help me understand better.

Directions: First write an equation to solve each problem and then solve the equation.Â

1. Â Â Â Â Â Â Â â€“12 = 2 + 5x + 2x

2. Â Â Â Â Â Â Â x + 3 â€“ 3 = â€“6

3. Â Â Â Â Â Â Â â€“22 = 3 â€“ 2x â€“ 3x

4. Â Â Â Â Â Â Â â€“4x + 10x â€“ 30 = â€“3x â€“ 39

5. Â Â Â Â Â Â Â 9.2x + 5.514 = 158.234

6. Â Â Â Â Â Â Â â€“8.38x + 10.71 = 131.382 + 5.98x Â Â Â Â Â Â Â Â Â (Round to hundredths place)

7. Â Â Â Â Â Â Â x â€“ 2.3x + 5 = 4.9 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (Round to hundredths place)

8. Â Â Â Â Â Â Â 54.25 = x + 0.025x Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (Round to hundredths place)

9. Â Tyler has 36 pieces of candy he wants to share with his 4 friends. Â He first keeps 8 pieces for himself, and then splits the rest among his friends. How many pieces of candy does each friend get?

10. Â Krystalâ€™s meal was \$13.25 before tax and tip. Â If sales tax is 6.25% and she left a 20% tip (before sales tax), what was the final cost of her meal?

11. Â Â A company buys a new car for \$13,500. Â During the first year, it will depreciate 11.3% of its original value. Â What will be its value at the end of the year?

12. Â Jackieâ€™s car depreciated in value 12.5% over the past year. Â The value of the car this year is \$30,253.12. Â What was the value of the car last year? Â Round the answer to the nearest whole dollar.

13. Â Â Between the years 2000 and 2006, the average cost for auto insurance nationwide grew 27%, to \$867. Â What was the average cost in 2000? Â Round to the nearest dollar.

14. Â The balance in a savings account grew by 5% in one year to \$5,512.50. Â What was the balance at the beginning of the year?

15. Â There are 42 members in the math club this year. Â This is a 20% increase from last yearâ€™s membership. Â How many students were in the club last year?

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