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ACT Mathematics — practice by topic

Browse 58 questions across 7 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Mathematics (58)Algebra (30)Equations and Inequalities (30)Quantitative Aptitude (30)Arithmetic (28)Percents (28)Percents and Proportion (28)

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A line rises 6 units while running 3 units across. Its slope is:Read the answer and worked solution →A line passes through (1, 2) and (4, 8). Its slope is:Read the answer and worked solution →Two lines have the same slope but different y-intercepts. Those lines are:Read the answer and worked solution →One line has slope 4. A line perpendicular to it has slope:Read the answer and worked solution →

Worked practice questions

A line rises 6 units while running 3 units across. Its slope is:

  1. 2
  2. 3
  3. 6
  4. 9
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Correct answer: A. 2

1. Slope compares vertical change with horizontal change. 2. Divide 6 by 3. 3. The slope is 2. _Source: OpenStax College Algebra 2e, Chapter 2, Equations and Inequalities._

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A line passes through (1, 2) and (4, 8). Its slope is:

  1. 1
  2. 2
  3. 3
  4. 6
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Correct answer: B. 2

1. Change in y is 8 minus 2, which is 6. 2. Change in x is 4 minus 1, which is 3. 3. The slope is 2. _Source: OpenStax College Algebra 2e, Chapter 2, Equations and Inequalities._

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Two lines have the same slope but different y-intercepts. Those lines are:

  1. Parallel lines
  2. Meeting lines
  3. Identical lines
  4. Crossing lines
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Correct answer: A. Parallel lines

1. Equal slopes mean equal steepness. 2. Different intercepts keep them apart. 3. They are parallel lines. _Source: OpenStax College Algebra 2e, Chapter 2, Equations and Inequalities._

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