MATHEMATICS - STAGE 7: EXPRESSIONS, EQUATIONS AND FORMULAE

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 is multiplied by , and then is added. The result is . Which option gives the correct equation and solution?

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

Q2.

The equation represents a situation. Which option states the situation correctly and gives the solution?

  1. A) Multiply a number by and then add to get ; .
  2. B) Add to a number and then subtract to get ; .
  3. C) Subtract from a number and then multiply by to get ; .
  4. D) Multiply a number by and then subtract to get ; .

Q3.

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

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

Q4.

Subtracting from gives . Which option correctly represents and solves this statement?

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

Q5.

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

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

Q6.

Lina represents the statement “ more than times a number is ” using . Which option gives the correct representation and solution?

  1. A) Lina's equation is correct: , so .
  2. B) The should be subtracted: , so .
  3. C) The is added after multiplying: , so .
  4. D) The number is multiplied by : , so .

Q7.

Which word statement and solution match the equation ?

  1. A) Multiply a number by and add to get ; .
  2. B) Add to a number and then multiply by to get ; .
  3. C) Multiply a number by and subtract to get ; .
  4. D) Multiply a number by and add to get ; .

Q8.

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

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

Q9.

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

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

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?

  1. A) , so .
  2. B) , so .
  3. C) , so .
  4. D) , so .

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