MATHEMATICS - TWO STEP EQUATIONS

Two Step Equations Worksheet

  • Focuses on solving two-step equations involving addition, subtraction, multiplication, and division
  • Includes real-world scenarios to apply mathematical concepts
  • Designed for Grade 6 students with medium difficulty level
  • Emphasizes understanding and forming equations from word problems

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

A number n is multiplied by 3, and then 5 is added. The result is 26. Which option gives the correct equation and solution?

  1. A) 3n − 5 = 26, so n = 31/3.
  2. B) n + 3 + 5 = 26, so n = 18.
  3. C) 3(n + 5) = 26, so n = 11/3.
  4. D) 3n + 5 = 26, so n = 7.

Q2.

The equation 6a − 5 = 31 represents a situation. Which option states the situation correctly and gives the solution?

  1. A) Multiply a number by 5 and then add 6 to get 31; a = 5.
  2. B) Add 6 to a number and then subtract 5 to get 31; a = 30.
  3. C) Subtract 5 from a number and then multiply by 6 to get 31; a = 61/6.
  4. D) Multiply a number by 6 and then subtract 5 to get 31; a = 6.

Q3.

A game awards 4 points for each target hit and a bonus of 7 points. Kai scores 35 points in total. If t is the number of targets hit, which equation and solution are correct?

  1. A) 7t + 4 = 35, so t = 31/7.
  2. B) 4t + 7 = 35, so t = 7.
  3. C) 4(t + 7) = 35, so t = 7/4.
  4. D) 4t − 7 = 35, so t = 21/2.

Q4.

Subtracting 4x from 9 gives 29. Which option correctly represents and solves this statement?

  1. A) 9 − 4x = 29, so x = − 5.
  2. B) 4x − 9 = 29, so x = 19/2.
  3. C) 4(9 − x) = 29, so x = 7/4.
  4. D) 9 + 4x = 29, so x = 5.

Q5.

A ribbon has an original length of L cm. After 10 cm is removed, the remaining ribbon is cut into 5 equal pieces. Each piece is 6 cm long. Which equation and original length are correct?

  1. A) (L + 10)/(5) = 6, so L = 20 cm.
  2. B) L − 10/5 = 6, so L = 8 cm.
  3. C) 5(L − 10) = 6, so L = 56/5 cm.
  4. D) (L − 10)/(5) = 6, so L = 40 cm.

Q6.

Lina represents the statement “12 more than 5 times a number z is 47” using 5(z + 12) = 47. Which option gives the correct representation and solution?

  1. A) Lina's equation is correct: 5(z + 12) = 47, so z = − 13/5.
  2. B) The 12 should be subtracted: 5z − 12 = 47, so z = 59/5.
  3. C) The 12 is added after multiplying: 5z + 12 = 47, so z = 7.
  4. D) The number is multiplied by 12: 12z + 5 = 47, so z = 7/2.

Q7.

Which word statement and solution match the equation −3p + 2 = 20?

  1. A) Multiply a number by −3 and add 2 to get 20; p = − 6.
  2. B) Add 2 to a number and then multiply by −3 to get 20; p = − 26/3.
  3. C) Multiply a number by 2 and subtract 3 to get 20; p = 23/2.
  4. D) Multiply a number by 3 and add 2 to get 20; p = 6.

Q8.

A school buys 8 identical packs containing x pencils each. After 11 pencils are used, 45 pencils remain. Which equation and solution represent this situation?

  1. A) 11x − 8 = 45, so x = 53/11.
  2. B) 8x − 11 = 45, so x = 7.
  3. C) 8(x − 11) = 45, so x = 133/8.
  4. D) 8x + 11 = 45, so x = 17/4.

Q9.

Study the flow diagram. Which option gives the equation represented by the diagram and the value of the input?

Diagram for question 9: Study the flow diagram. Which option gives the equation represented by the diagram and the value of the input?
  1. A) 4x + 3 = 31, so x = 7.
  2. B) 4x − 3 = 31, so x = 17/2.
  3. C) 4(x + 3) = 31, so x = 19/4.
  4. D) 3x + 4 = 31, so x = 9.

Q10.

The strip diagram represents a total made from equal unknown parts and one extra part. Which option gives the matching equation and the value of the unknown?

Diagram for question 10: The strip diagram represents a total made from equal unknown parts and one extra part. Which option gives…
  1. A) 6y + 4 = 46, so y = 7.
  2. B) 4y + 6 = 46, so y = 10.
  3. C) y + 10 = 46, so y = 36.
  4. D) 4y − 6 = 46, so y = 13.

What this assessment covers

Concepts tested

  • Two-step equations
  • Formulating equations from word problems
  • Understanding mathematical operations in equations
  • Interpreting flow and strip diagrams
  • Solving equations with variables

Question Mix

  • Medium questions included

Skills you build

  • Translate word problems into mathematical equations
  • Solve two-step equations accurately
  • Apply mathematical operations to real-life situations
  • Interpret diagrams to form equations
  • Analyze and solve for unknown variables

Related assessments

More practice

Other assessments in this subject