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32 multiple-choice questions and 7 flashcards on Solving Multi-Step Inequalities, about 21% of the 7th Math: Expressions & Equations bank. Every one carries a written rationale.
Solving Multi-Step Inequalities is one of 5 chapters in CoStudy's 7th Math: Expressions & Equations bank, and it holds 32 of the bank's 150 multiple-choice questions — roughly 21% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.
Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.
1 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.
Solve: x + 5 > 12
Answer: D — x > 7
Subtract 5: x > 7. (B) added 5; (C) multiplied; (A) reversed the inequality without cause.
4 cards from the 7 in this chapter.
Solve: x/4 = −3.
x = −12.
Worked Example: Solve inequality −3x + 4 > 13 (flip the sign).
Step 1: Subtract 4 from both sides: −3x + 4 − 4 > 13 − 4, giving −3x > 9. Step 2: Divide both sides by −3 — NEGATIVE divisor, so FLIP the inequality: −3x/(−3) < 9/(−3), giving x < −3. Step 3: Check with x = −4 (satisfies x < −3): −3(−4) + 4 = 12 + 4 = 16 > 13 ✓. Step 4: Graph — open circle at −3, arrow left. Answer: x < −3.
Solve: −2x = 14.
x = −7.
Solve: 5x = −30.
x = −6.
These are a sample. The full Solving Multi-Step Inequalities chapter runs 39 items with per-chapter progress tracking, on the web and in the iOS app.
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