Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Writing and Solving Multistep Word-Problem Equations

Sample Question Videos

Worksheet • 25 Questions • 11 Videos

Q1:

A mobile service provider charges $11.00 plus $4.00 per minute for long distance calls, whereas another provider charges $26.00 plus $1.50 per minute. Write an equation that represents the number of minutes for which the two providers would charge the same amount, and then solve it.

  • A 1 1 + 4 π‘₯ = 2 6 + 1 . 5 π‘₯ , π‘₯ = 6
  • B 4 π‘₯ + 1 1 = 2 6 , π‘₯ = 3
  • C 1 1 + 4 π‘₯ = 2 6 + 1 . 5 π‘₯ , π‘₯ = 1 4
  • D 4 π‘₯ βˆ’ 1 1 = 1 . 5 π‘₯ + 2 6 , π‘₯ = 1 4
  • E 4 π‘₯ βˆ’ 1 1 = 1 . 5 π‘₯ + 2 6 , π‘₯ = 6

Q2:

William paid $130 to subscribe to a sports club. The rate for renting a squash court is $30 per round. Since he was a student, he got a $20 discount per round. Given that William spent $360, use the equation 3 6 0 = 3 0 𝑔 βˆ’ 2 0 𝑔 + 1 3 0 to determine how many rounds of squash he played, where 𝑔 is the number of rounds.

Q3:

One telephone service provider charges $1 plus an additional $0.50 per minute for international calls, whereas another provider charges $4 plus an additional $0.25 per minute. Write and solve an equation to find the call length for which the two telephone service providers would charge the same amount.

  • A 1 + 0 . 5 0 π‘₯ = 4 + 0 . 2 5 π‘₯ 1 2 , minutes
  • B 0 . 5 0 π‘₯ + 1 = 4 6 , minutes
  • C 1 + 0 . 5 0 π‘₯ = 4 + 0 . 2 5 π‘₯ 2 0 , minutes
  • D 0 . 5 0 π‘₯ βˆ’ 1 = 0 . 2 5 π‘₯ + 4 2 0 , minutes
  • E 0 . 5 0 π‘₯ βˆ’ 1 = 0 . 2 5 π‘₯ + 4 1 2 , minutes
Preview