WorksheetsBasic Two Step Equation Word Problems
Total questions: 20
Worksheet time: 20mins
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?
15x + 2.5 = 10x + 3
15 - 2.5x = 10 - 3x
15 + 2.5x = 10 + 3x
15 - 10 = 2.5x + 3x
At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?
150x + 24 = 180 + 20x
150 + 24x = 180 + 20x
180 - 150 = 24 x + 20x
150 - 24x = 180 - 20x
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?
2 miles
4 miles
0.50 mile
-4 miles
The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle.
68
47
84
20
Barry needs $1,449 for summer camp. Two local clubs will each match what he saves. Barry has 3 months before he leaves for summer camp. How much does Barry need to save on his own each month to have enough for summer camp?
(a)
An art teacher had 237 colored pencils left over from last year. This year, he bought 26 boxes of colored pencils that had 16 pencils in each. He also bought 15 boxes that had 54 pencils in each. Finally, when he was sorting the pencils, 19 rolled under the cabinet and were lost.
Solve the following equation to determine c, the number of colored pencils the art teacher has now.
c = 237 + [ (26 ∙ 16) + (15 ∙ 54) ] – 19
2,179
187,652
1,444
183,095
Answer the following question:
6 tickets
16 tickets
11.6 tickets
7 tickets
Answer the following question:
$56.60
$6.50
$12.00
$5.00
Answer the following question:
w= 10 ft, l= 26 ft
w= 12 ft, l=28 ft
w= 4 ft, l= 3 ft
w= 2 ft, l= 72 ft
Aaron and Carl are working to earn money for prom. Aaron has $40 and is earning $6 a month for prom. Carl has $64 and $4 a week. How many weeks till they have the same amount?
4 weeks
6 weeks
12 weeks
never
At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?
105 = x(35 + 0.75)
105 = 35x + 0.75
105 = 0.75x + 35
105 = 0.75(x + 35)
Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B
50
20
15
25
Breanna's basic cell phone rate each month is $39.95. Add to that $6.95 for voice mail and $3.95 for text messaging. This past month Breanna spent an additional K dollars on long distance. Her total bill was $69.75. How much did Breanna spend on long distance?
$10.90
$18.90
$29.80
$40.70
What was the mistake the student make?
The student did not distribute properly.
The student did not combine like terms properly.
The student did not subtract properly.
A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?
120 miles
100 miles
110 miles
150 miles
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
3 hours
4 hours
1 hour
2 hours
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
50 + 20m = 290
20 + 50m = 290
50 + 20 = m
50m - 20 = 290
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
7x + 35 = 63
7x = 63
7x - 35 = 63
35x + 7 = 63
A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.
c/7 - 4 = 8
c/4 + 7 = 8
4/c - 7 = 8
c/4 - 7 = 8
Which equation would describe "two times a number plus five equals 15"?
x + 5 = 15
2x + 5=15
x + 2(5) = 15
2(x + 5) = 15
