7_Equations_WS

Name:REVIEW – Solving EquationsDateMath 7 – HWTo solve an Equation – Get the variable alone. If there are parentheses Eliminate parentheses by DISTRIBUTION. If variables are on the same side of the equal sign Combine like terms If variables are on opposite sides of the equal sign Cancel the smaller variable by (+) or (-) Once you have one variable 1 st Cancel Good Friend & 2 nd Cancel Best Friend1) An amusement park reduced its admissionprice to $15.50 per day, but now charges$1.50 per ride. Mark has $26 to spend onadmission and rides. Write and solve anequation to find how many rides Mark canride in one day.2) Theo made a donation to a charity. Hisgrandfather agreed to add $4 to Theo’sdonation amount and then donate half ofthat sum. Theo’s grandfather donated $4.25.Write and solve an equation to find theamount of Theo’s donation.3) The Hair Care Salon charges a stylist $30 perday to rent a station at the salon. Jessicamakes $10.50 on each haircut. Whichequation will help her decide how manyhaircuts she must give in one day to make$138 after paying rent for her station?A.B.C.D.5) Marvin made some candles that eachweighed pounds. He shipped them in a boxthat weight 3 pounds. The total weight ofthe box filled with candles was 12 pounds.Write and solve an equation to find the howmany candles Marvin shipped in the box.4) A rectangular garden sits next to a house.Three sides of the garden are fenced and thefourth side is the house. The length of thegarden is 9 meters. A total of 21.5 meters offencing is used. If stands for the width ofthe garden, which equation can be used tofind its width?A.B.C.D.6) Lydia is saving money for her vacation. Sofar she has $82.50. Each week she sets aside25% of her paycheck for the vacation. After8 weeks, Lydia has $338.50 saved. Write andsolve an equation to find the amount ofLydia’s weekly paycheck.

7) Josh walked a total of 5 miles today. First hewalked 1 mile from his house to the park.Then he walked laps around the mile trailat the park. Finally, he walked back home.Write and solve an equation to find the howmany laps Josh walk around the trail.8) Banners at the school store were on sale for$3 off the regular price. Lisa bought 4banners on sale and paid a total of $18.Write and solve an equation to find theregular price of one banner.9) Lane stacks some books in a storage cratethat weighs 5 pounds. Each book weighspounds. The total weight of the crate withall the books in it is 60 pounds. Write andsolve an equation to find how many booksare in the crate.10) The length of each of two of the sides of atriangle is . The length of the thirdside is . Its perimeter is 36 cm. Write anequation that could be used to find the valueof . Solve for and then find the length ofall three sides.Solve each equation.11) 12) ( ) 13)14) 15) 16) ( )