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.        –12 = 2 + 5x + 2x
2.        x + 3 – 3 = –6
3.        –22 = 3 – 2x – 3x
4.        –4x + 10x – 30 = –3x – 39
5. Â Â Â Â Â Â Â 9.2x + 5.514 = 158.234
6.        –8.38x + 10.71 = 131.382 + 5.98x          (Round to hundredths place)
7.        x – 2.3x + 5 = 4.9                                    (Round to hundredths place)
8.        54.25 = x + 0.025x                                  (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.  Krystal’s meal was $13.25 before tax and tip.  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.  Jackie’s car depreciated in value 12.5% over the past year.  The value of the car this year is $30,253.12.  What was the value of the car last year?  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.  There are 42 members in the math club this year.  This is a 20% increase from last year’s membership.  How many students were in the club last year?