SEAGReady
NumberP6 level17 questions in the full course

Solve One-Step EquationsSEAG Practice Questions

Solving simple equations with one operation (e.g., a + 7 = 15, 3b = 24) using inverse operations.

Where your child meets this in real life: Finding missing values, solving real-world problems algebraically

What your child needs to know

SEAGReady breaks solve one-step equations into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Solving Additive Equations

    Solve equations involving addition or subtraction (e.g., a + 7 = 15, b - 3 = 10) using inverse operations

  2. 2

    Solving Multiplicative Equations

    Solve equations involving multiplication or division (e.g., 3b = 24, c / 4 = 5) using inverse operations

Try these SEAG-style questions

Three free sample questions from our solve one-step equations course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Sean has some money saved. He receives £7 for helping his neighbour and now has £19 altogether. The equation is: s + 7 = 19. How much money did Sean have before?

  • As = £12
  • Bs = £26
  • Cs = £7
  • Ds = £10
Show answer and explanation

Answer: A. s = £12

To find s, we undo the +7 by subtracting 7. s + 7 = 19 Subtract 7 from both sides: 19 - 7 = 12 So s = £12

Stuck? Start here: What operation do you see in the equation? What is the opposite of that operation?

Question 2Confidence builder

Ciara buys 3 identical notebooks. She pays £15 in total. How much does each notebook cost? Solve: 3n = 15

  • An = £45
  • Bn = £5
  • Cn = £12
  • Dn = £3
Show answer and explanation

Answer: B. n = £5

3n means 3 times n. To find n, we undo the x3 by dividing by 3. 3n = 15 Divide by 3: 15 / 3 = 5 So n = £5

Stuck? Start here: 3n means 3 times the cost of one notebook. What operation undoes multiplication?

Question 3Confidence builder

Niamh thinks of a number. She adds 8 to it and gets 20. What was her number? Solve: n + 8 = 20

  • An = 28
  • Bn = 12
  • Cn = 8
  • Dn = 18
Show answer and explanation

Answer: B. n = 12

To find n, we undo the +8 by subtracting 8. n + 8 = 20 Subtract 8: 20 - 8 = 12 So n = 12

Stuck? Start here: The equation shows +8. What operation undoes addition?

Try the lesson: Solving Additive Equations

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Aoife has some money saved. She receives £9 for her birthday and now has £23 altogether.

How much money did Aoife have before her birthday?

a + 9 = 23

Identify what we need to find
1

The letter a represents Aoife's original savings

Step 1 of 4

Prefer to read? See every step written out

Aoife has some money saved. She receives £9 for her birthday and now has £23 altogether.

How much money did Aoife have before her birthday?

  1. 1

    Identify what we need to find

    • The letter a represents Aoife's original savings
    • We need to find what a equals
  2. 2

    Undo the addition using subtraction

    • To isolate a, we undo +9 by subtracting 9
    • Calculate the answer23 − 9 = 14

Aoife had £14 saved before her birthday.

The key insight: To find the unknown, do the opposite operation - subtraction undoes addition!

Watch out: Adding 9 instead: a = 23 + 9 = 32. We need to undo the +9, so we subtract 9, not add it.

Mistakes to watch for

These are the misconceptions we see most often in solve one-step equations, including the ones our practice questions are specifically designed to catch.

  • Guessing rather than using inverse operations
  • Performing the operation instead of its inverse
  • Not checking the answer by substituting back

Build these skills first

Struggling with solve one-step equations? The real gap is often in one of these earlier topics.

More number practice

17 questions on this topic alone

Master solve one-step equations and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.