What does the working show?

The step that gets n on its own, done to both sides, and a check. For n + 5 = 12 it reads: subtract 5 from both sides, n = 12 − 5 = 7, then check: 7 + 5 = 12. A multiplication is undone by dividing and a division by multiplying.

Is n always a whole number?

Yes. Every equation is dealt so that n is a whole number of 0 or more, so type it as a whole number such as 7. A fraction typed for a whole-number answer gets a note asking for a whole number instead of a mark.

Does it cover two-step equations?

No. Every question is one step with one unknown, n. Two-step equations, brackets, negative numbers and unknowns on both sides are not dealt.

Does this page keep its own progress?

Yes. The equations quiz is saved in this browser separately from the main math quiz, so a reload picks up at the same question here, and your settings on the main quiz page stay as you left them. Start over at the top of the page clears this quiz, the main math quiz and the other topic page's save.

One-Step Equations Quiz

On a first visit this quiz opens on one-step equations such as n + 5 = 12, n − 7 = 5, 6 × n = 42 and n ÷ 4 = 9, built from the numbers 1 to 12 unless you change the range. Find n, type it or pick from four choices, and the working shows the step that undoes the operation, then checks the answer in the original equation.

Preparing a quiz

Question: none yet
Unassisted: none yet
Assisted: 0
Target: none yet

Quiz settings

Topic

Numbers

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Seed

The range sets the numbers each question is built from: both numbers in addition, subtraction and multiplication, the divisor and the answer in division, the denominators in fractions, and the number itself in place value.

Review

No mistakes or revealed answers so far.

Type an answer and press Enter to check it, then Enter again for the next question. Fractions can be typed as 3/4, as a mixed number such as 1 1/4, or as an exact decimal such as 0.75. Whole-number answers take commas, so 4,762 and 4762 are the same.

Review your attempts. Use the Review filters to inspect your answers and working. Practice the missed builds a new round from the wrong and revealed questions.

Accuracy. Every question comes from a fixed set of generated templates (arithmetic, place value, fractions, and one-step equations and proportions), and every answer is checked exactly, with equivalent fractions such as 3/4 and 6/8 both accepted. The same seed and settings give the same quiz, and revealed answers count as assisted and stay out of your unassisted score. It is practice, not a placement test: it is not aligned to any official curriculum and cannot predict an exam result.

Common questions

What does the working show?: The step that gets n on its own, done to both sides, and a check. For n + 5 = 12 it reads: subtract 5 from both sides, n = 12 − 5 = 7, then check: 7 + 5 = 12. A multiplication is undone by dividing and a division by multiplying.
Is n always a whole number?: Yes. Every equation is dealt so that n is a whole number of 0 or more, so type it as a whole number such as 7. A fraction typed for a whole-number answer gets a note asking for a whole number instead of a mark.
Does it cover two-step equations?: No. Every question is one step with one unknown, n. Two-step equations, brackets, negative numbers and unknowns on both sides are not dealt.
Does this page keep its own progress?: Yes. The equations quiz is saved in this browser separately from the main math quiz, so a reload picks up at the same question here, and your settings on the main quiz page stay as you left them. Start over at the top of the page clears this quiz, the main math quiz and the other topic page's save.

Every question comes from a fixed set of generated templates (arithmetic, place value, fractions, and one-step equations and proportions), and every answer is checked exactly, with equivalent fractions such as 3/4 and 6/8 both accepted. The same seed and settings give the same quiz, and revealed answers count as assisted and stay out of your unassisted score. It is practice, not a placement test: it is not aligned to any official curriculum and cannot predict an exam result.