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College Algebra & Precalculus Practice Quiz & Questions

Take a free practice quiz or point your phone at any College Algebra or Precalc exam question for an instant, explained answer — functions and graphs made clear, without the guesswork.

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01

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03

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Read the reasoning behind the answer so it actually sticks.

Built for exactly this kind of question.

College Algebra and Precalc problems usually require several correct steps in a row — factoring, isolating a variable, applying the right log or exponent rule — and one misstep early on throws off everything after it. Cambo reads the exact problem and walks through the steps in order, showing where and why each one happens.

Test yourself with real practice questions.

Solve for x: 2x + 5 = 3x − 7.

  1. Ax = -2
  2. Bx = 2
  3. Cx = 12
  4. Dx = -12
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Answer
Cx = 12
x = 12 — subtracting 2x from both sides gives 5 = x − 7, and adding 7 to both sides gives x = 12.

What is the vertex of the parabola given by f(x) = (x − 3)^2 + 4?

  1. A(3, 4)
  2. B(-3, 4)
  3. C(3, -4)
  4. D(-3, -4)
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Answer
A(3, 4)
(3, 4) — in vertex form f(x) = (x − h)^2 + k, the vertex is at (h, k), so with h = 3 and k = 4 the vertex is (3, 4).

If f(x) = 2x^2 − 3x + 1 and g(x) = x + 2, what is f(g(0))?

  1. A1
  2. B3
  3. C0
  4. D-1
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Answer
B3
3 — first find g(0) = 0 + 2 = 2, then substitute into f: f(2) = 2(2)^2 − 3(2) + 1 = 8 − 6 + 1 = 3.

Solve for x: log2(x) = 5.

  1. Ax = 10
  2. Bx = 25
  3. Cx = 32
  4. Dx = 5/2
Tap the card to reveal the answer
Answer
Cx = 32
x = 32 — log2(x) = 5 means 2 raised to the 5th power equals x, and 2^5 = 32.

What is the domain of the function f(x) = 1 / (x − 4)?

  1. AAll real numbers
  2. BAll real numbers except x = 4
  3. CAll real numbers except x = 0
  4. Dx ≥ 4 only
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Answer
BAll real numbers except x = 4
All real numbers except x = 4 — the function is undefined wherever the denominator equals zero, which happens only at x = 4.

Which transformation describes the graph of g(x) = f(x) + 3 compared to the graph of f(x)?

  1. AA horizontal shift 3 units to the right
  2. BA horizontal shift 3 units to the left
  3. CA vertical shift 3 units up
  4. DA vertical shift 3 units down
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Answer
CA vertical shift 3 units up
A vertical shift 3 units up — adding a constant outside the function, f(x) + 3, moves every point on the graph up by that amount, while changes inside the parentheses affect horizontal position instead.
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Also known as.

Same course, different course code depending on your school.

Questions, answered.

What topics does College Algebra / Precalculus usually cover?

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Linear and quadratic equations, functions and their graphs (including transformations), polynomial and rational functions, exponential and logarithmic functions, systems of equations, and often an introduction to trigonometry depending on the course.

Is College Algebra the same as Precalculus?

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They overlap heavily but aren't always identical — many schools treat College Algebra as a standalone course, while Precalculus typically combines algebra review with trigonometry to prepare students directly for Calculus I.

Is College Algebra usually curved?

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It varies by school, but many large intro math sections do curve exams, since scores on procedural, step-by-step problems can spread out quite a bit across a big class.

Is Cambo affiliated with McGraw Hill, Pearson, Cengage, or any university?

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No. Cambo is an independent study tool and isn't produced, endorsed, or affiliated with any textbook publisher or university.

Do I need to take College Algebra before Calculus?

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Most programs require College Algebra or Precalculus (or an equivalent placement test score) as a prerequisite for Calculus I, since it builds the function and graphing skills calculus depends on.

How many credit hours is College Algebra usually worth?

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Typically 3 credit hours, commonly fulfilling a general education math requirement or serving as a prerequisite for a program's calculus sequence.

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