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8 multiple-choice questions and 15 flashcards on Foundations: Real Numbers, Expressions, and Properties, about 5% of the High School Algebra 1 bank. Every one carries a written rationale.
Foundations: Real Numbers, Expressions, and Properties is one of 8 chapters in CoStudy's High School Algebra 1 bank, and it holds 8 of the bank's 150 multiple-choice questions — roughly 5% 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.
What is the slope of the line through (2, 3) and (5, 11)?
Answer: E — 8/3 ≈ 2.67 (slope = rise/run = (11-3)/(5-2) = 8/3)
Slope formula: m = (y₂ - y₁)/(x₂ - x₁) = (11-3)/(5-2) = 8/3. Slope represents rate of change. Foundation of linear functions.
4 cards from the 15 in this chapter.
What is a coefficient?
The numerical factor of a term containing a variable. In 7x², the coefficient is 7.
What is the order of operations (PEMDAS)?
Parentheses → Exponents → Multiplication/Division (left to right) → Addition/Subtraction (left to right).
Evaluate 2x² − 3x + 1 when x = −2.
2(4) − 3(−2) + 1 = 8 + 6 + 1 = 15.
What is an algebraic expression?
A mathematical phrase combining numbers, variables, and operations (no equals sign), e.g., 3x + 5.
These are a sample. The full Foundations: Real Numbers, Expressions, and Properties chapter runs 23 items with per-chapter progress tracking, on the web and in the iOS app.
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