Two Step Equations Practice

Skill: two-step-equations

Two-Step Equations Practice

An endless supply of never-repeating two-step equation problems with instant feedback. Unwrap x in reverse order, watch the signs, and always check — one problem at a time.

1 Practice

Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss earns a second hint; a third miss walks you through the full solution.

Score 0 · Streak 0 · Problem 0
Score counts first-try correct answers. Streak counts consecutive correct answers.
Problem

How to enter answers

  • Your answer: the value of x — an integer (4), a fraction (3/2), or a decimal (2.5). You may also type x = 4. Equivalent forms count: 8/2 is accepted for 4.
  • Word problems: type just the number the question asks for.

2 What you’ll practice

Every problem is generated fresh from 12 templates across the skill — a problem never repeats until its whole pool is used up.

Basic two-step

ax + b = c with positive integers. Peel off the constant first, then divide.

2x + 5 = 13 → x = 4

Tricky signs

Subtraction inside, negative coefficients, and negative solutions — signs stay glued to their terms.

5 − 2x = 11 → x = −3

Division & fraction forms

x/a + b = c and (kx)/d + b = c. Clear the constant, then clear the fraction.

x/4 + 2 = 9 → x = 28

3 Watch out for these

The three mistakes students make most often here.

1. Dividing before subtracting

Wrong: 2x + 5 = 13 → x + 5 = 6.5   Right: 2x + 5 = 13 → 2x = 8 → x = 4. Undo in reverse: the +5 comes off first.

2. Letting −2x become +2x

Wrong: 5 − 2x = 11 → 2x = 6 → x = 3   Right: −2x = 6 → x = −3. Terms carry their signs until you divide.

3. Skipping the substitution check

Wrong: answering 7 − 3x = 1 with x = −2 and moving on.   Right: check x = 2: 7 − 3(2) = 1 ✓. Ten seconds, catches everything.

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