solve multi-step equations
Solve the equation
8=11-v
What is v=3
Solve the equation
2n-3=6n+9
What is n=-3
How many solutions will the following equation have?
7+4y=39
What is one solution (y=8)
Write an equation to represent the following:
You spent $39.36 to purchase 4 movies. Each movie cost the same amount and was purchased at 20% off the original price. What was the original price per movie?
*Bonus 50 points What is the original price
What is 0.80(4m)=39.36 or 4m-0.20(4m)=39.36
*What is $12.30 per movie
A cylinder has a volume of 638 cubic inches and a radius of 10 inches. What is the height of the cylinder rounded to the nearest in?
*V=πr2h
What is 2 inches
Solve the equation
9=-7w+12w-6
What is w=3
Solve the equation
3x+5-2x+10-x=3x
What is x=5
How many solutions will the following equation have?
3=t+11.5-t
What is no solution (3=11.5)
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write an equation to determine how many total hours you have to work to earn $810 working at two separate work sites.
*Bonus 50 points how many total hours?
What is 24h+90=810
*Bonus What is 30 hours
Your soccer team wants to buy T-shirts. You call two different companies about prices. Company A charges a $50 set up fee and $15 per T-shirt. Company B charges a $95 set up fee and $12 per T-shirt. How many T-shirts is the team buying if the total cost is the same for each company.
What is 15 T-shirts
Solve the equation
6(3-d)+2d=24
What is d=-3/2
Solve the equation
8(y-1)-3y=6(2y-6)
What is y=4
How many solutions will the following equation have?
5(2c+7)-3c=7(c+5)
What is infinitely many solutions (35=35)
Write an equation to represent the following:
A necklace chain costs $15. Beads cost $2.75 each. You spend a total of $28.75 on a necklace and beads before tax. How many beads did you buy in addition to the necklace?
*Bonus 50 points for solving
What is 15+2.75x=28.75
*What is 5 beads
At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?
What is 4 books
Solve the equation
40=(-1/3)(9x+30)+2
What is x=-16
Solve the equation.
(3/2)b+6+(1/2)b=15+2b
What is no solution (6=15)
Describe the values of c for which the equation has no solution.
2x-6=2x-c
What is all real numbers except 6
Write an equation to represent the following.
The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180.
*Bonus 50 points Solve the equation
What is 5(28+p)=180 or 5(28)+5p=180
*Bonus What is $8
A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?
What is 10m x 15m
Solve the equation
20(7-d)+11d=113
What is d=3
Solve the equation.
(3/2)(d+12)=(1/2)(2d-12)+3
What is d=-42
Describe the value of c for which the equation is an identify.
2(x+5)=2(x+3)+c
What is c=4
Write an equation to represent the following:
You and a friend are both traveling from Seattle area. You start 38 miles east of Seattle and travel east on Interstate 90 at 62 miles per hour. Your friend starts 20 miles south of Seattle and travels south on Interstate 5 at 65 miles per hour. How many hours will it take for you and your friend to be the same distance from Seattle?
*Bonus 50 points: How many hours?
What is 38+62h=20+65h
*Bonus What is 6 hours
You buy 3 notebooks and a backpack. The cost of the backpack is $24.00. You pay 6% in sales tax on your purchase, and your total bill is $36.57. How much does each notebook cost?
What is $3.50