Lesson Worksheet: Solving Two-Step Equations Using Models Mathematics

In this worksheet, we will practice solving two-step equations where the unknown is a symbol or a letter using models.


Given that (π‘›βˆ’5)Γ·4=6, find the value of 𝑛.


Solve 2π‘₯+8=20.

  • Aπ‘₯=6
  • Bπ‘₯=24
  • Cπ‘₯=18
  • Dπ‘₯=14
  • Eπ‘₯=2


Last week, James jogged the same distance on Monday as he did on Sunday and jogged for 5 miles on Friday for a total of 25 miles. Determine the distance π‘₯Β James jogged on Monday or Wednesday by solving 2π‘₯+5=25.


Chloe bought 3 chocolate bars at the store for a total of $36. If the tax on her purchase was $3, Use 3𝑏+3=36 to determine the price of each chocolate bar 𝑏.


It took JacobΒ 91 minutes to varnish 3 tables. He spent π‘₯ minutes on each table and 16 minutes organizing his workshop. Find how long it took him to varnish each table by solving the equation 3π‘₯+16=91.


Mason bought two marbles and one juice box. If he paid 10 LE and the juice box cost 2 LE, determine the price of each marble π‘₯ by solving the equation 2π‘₯+2=10.


If 2π‘₯βˆ’2=10, find π‘₯.


A chef spent 90 minutes making three main dishes. He spent π‘₯ minutes cooking each dish and 6 minutes preparing the dishes. Find how long it took him to cook each dish by solving the equation 3π‘₯+6=90.


Noah spent 25 minutes exercising at the gym. He used two different training machines. He spent π‘₯ minutes on each one and 3 minutes stretching. Find how long he exercised on each machine by solving the equation 2π‘₯+3=25.


Matthew has 4 hours before he sleeps. If he watches TV for 2 hours and then studies two subjects, he will spend π‘₯ hours studying each subject. Find how long he spends studying each subject by solving the equation 2π‘₯+2=4.

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