Algebra: Equations & inequalities
Solve equations and describe full solution sets, from linear steps to systems, quadratics and rational inequalities.
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Example
Example
Example · Standard
Choose the complete solution set.
For real :
Systems, quadratic roots, compound inequalities, absolute values and rational equations.
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6 questions · No time limit
- Questions answered
- 0 / 6
- Active time
- 0:00
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Choose the complete answer. Work at your own pace, then review the reasoning.
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Reload pageExplore the method
Undo operations, track signs and check restrictions when an equation becomes an inequality.
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How this data is usedHelp
Six questions per round. Challenge draws from eight families, so repeat rounds to meet different cases. Every answer has a worked explanation.
Each round has six questions and no time limit. Choosing an answer locks it. Review the steps, then move to the next question. Finish all six to save the round. Active time includes reviewing the steps, but does not count time when this page is hidden. Speed does not affect your score.
Use Tab and Enter or Space to choose an answer. The number keys also select answers, except when another control is focused. After an answer, Enter goes to the next question.
Original practice puzzles, not a standardized assessment.
About this practice
Learn a method
Preserve the solution setSolve equations and describe full solution sets, from linear steps to systems, quadratics and rational inequalities.
Report a problem
On by default unless you turn it off. Saved choices are kept. Shares starts, completions, replays and error categories. For ChatGPT visits, starts and completions may include the first QuickenBrain page and country. No answers, drawings or names.
How this data is used