WorksheetsDay 11- Equations Mixed Practice
Total questions: 18
Worksheet time: 2hrs 8mins
1. (A)
Write the equation for the following situation:
A store sells $1 per item with a $15 handling fee, equaling $2 per item plus a $10 fee.
x+15=2x+10
15x+1=10x+2
2x+x=15+10
2x+15=x+10
1. (B)
Write the equation for the following situation:
A bakery charges $2 per cupcake plus a $10 delivery fee, which equals $1 per cupcake plus a $15 service fee.
2x+15=x+10
15x+10x=2+1
2+10x=15x+1
2x+10=x+15
1. (C)
Write the equation for the following situation:
For each hour, a tutor charges $10 plus $2, matching $15 plus $1 per hour.
2x+10=15x+1
10x+2=15+x
2x+10x=15+x
10x+15=2+x
1. (D)
Write the equation for the following situation:
A car rental costs $15 per day plus $1, equaling $10 per day plus $2.
x+2x=15+10
15x+2=10x+1
15x+1=10x+2
x+15=2x+10
1. The equation is: ( 2x + 10 = x + 15 )
Which situation matches this equation?
1A
1B
1C
1D
2. (A)
Write the equation for the following situation:
A phone plan costs $2 per gigabyte plus a $5 fixed fee, which equals $3 per gigabyte plus a $2 fixed fee. Let x represent the gigabytes used.
2x+2=5+3x
2+5x+3+2x
2x+5=3x+2
2+5x=3+2x
2. (B)
Write the equation for the following situation:
A car rental costs $5 per day plus a $2 fuel surcharge, which equals $2 per day plus a $3 insurance fee. Let x represent the days rented.
2x+5=3x+2
5x+2=2x+3
2x-5=3x-2
5x-2=2x-3
2. (C)
Write the equation for the following situation:
A gym membership costs $3 per month plus a $2 signup fee, which equals $2 per month plus a $5 signup fee. Let x represent the number of months
2x+3=5x+2
3x+2x=2x+5x
2x-3=5x-2
3x+2=2x+5
2. (D)
Write the equation for the following situation:
A streaming service costs $3 per month plus a $5 activation fee, which equals $2 per month plus a $2 extra fee. Let x represent the months.
5x+3=2x+2
3x-5=2x-2
3x+5=2x+2
3x+2=2x+5
2. The equation is: 3x+2=2x+5
Which situation matches this equation?
2(A)
2(B)
2(C)
2(D)
Which of the following word problems can be solved by this equation?
5x−3=2x+6
A bakery sells cakes for $2 each plus a $6 delivery fee, which equals $5 each minus a $3 discount.
A subscription costs $3 per month minus a $5 credit, which equals $2 per month plus a $6 fee.
A store charges $5 per item plus a $3 handling fee, which equals $6 per item minus a $2 discount.
A taxi ride costs $5 per mile minus a $3 discount, which equals $2 per mile plus a $6 base fee.
Which of the following word problems can be used to solve this equation?
79,340+210x=68,000+840x
Beth earns $79,340 annually and is getting a raise of $840 raise each year.
Robert earns $68,000 annually and is getting a raise of $210 each year.
After how many years will Robert's earning be greater than Beth's?
Beth earns $68,000 annually and is getting a raise of $840 raise each year.
Robert earns $79,340 annually and is getting a raise of $210 each year.
After how many years will Beth's earning be greater than Robert's?
Beth earns $79,340 annually and is getting a raise of $840 raise each year.
Robert earns $68,000 annually and is getting a raise of $210 each year.
After how many years will Beth and Robert earn the same amount?
Beth earns $68,000 annually and is getting a raise of $840 raise each year.
Robert earns $79,340 annually and is getting a raise of $210 each year.
After how many years will Beth and Robert earn the same amount?
Which one of the following word problems can be solved by this equation?
380+120x=200+180x
Ben's Rent A Car has a security deposit of $380 and costs $180 per day to rent a car.
Dave's Car Rental Services has a security deposit of $200 and it costs $120 per day to rent the same car.
How many days, x, will it take for the costs to be the same on both car rentals?
Ben's Rent A Car has a security deposit of $180 and costs $380 per day to rent a car.
Dave's Car Rental Services has a security deposit of $120 and it costs $200 per day to rent the same car.
How many days, x, will it take for the costs to be the same on both car rentals?
Ben's Rent A Car has a security deposit of $200 and costs $180 per day to rent a car.
Dave's Car Rental Services has a security deposit of $380 and it costs $120 per day to rent the same car.
How many days, x, will it take for the costs to be the same on both car rentals?
Ben's Rent A Car has a security deposit of $120 and costs $380 per day to rent a car.
Dave's Car Rental Services has a security deposit of $180 and it costs $200 per day to rent the same car.
How many days, x, will it take for the costs to be the same on both car rentals?
Solve for x:
2(x+3)= x + 4 + 5
3
7
2
5
Solve for x:
3(2x−1) = −4(x+2)
-1
-5
1
5
Solve for x:
10
-5
2
-8
Store A sells notebooks for $2 each plus a $5 shipping fee. Store B sells notebooks for $3 each with a shipping fee of $2. Write an inequality so that Store B is less than Store A.
Mike's Gym charges a $25 membership fee plus $5 per class. Lenny's gym charges a $30 membership plus $4 per class. Write an inequality so that Mike's gym costs less than Lenny's gym.
