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Accuplacer Mathematics — practice by topic

Browse 41 questions across 12 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

Linear Equations in One Variable (11)Coordinate Plane and Graphs (6)Linear and Absolute Value Inequalities (6)Radical and Absolute Value Equations (4)Composition of Functions (2)Domain and Range (2)Functions and Function Notation (2)Inverse Functions (2)Models and Applications (2)Rates of Change (2)Absolute Value Functions (1)Transformation of Functions (1)

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Into how many sections do the two axes cut the coordinate plane?Read the answer and worked solution →To find the x-intercept of a graph, which value is set to zero?Read the answer and worked solution →An equation that is true for every value of the variable is called what?Read the answer and worked solution →What is the slope of a horizontal line?Read the answer and worked solution →

Worked practice questions

Into how many sections do the two axes cut the coordinate plane?

  1. Two sections
  2. Four sections
  3. Three sections
  4. Eight sections
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Correct answer: B. Four sections

1. The x-axis runs across and the y-axis runs up and down, and they meet at right angles. 2. Two lines crossing at right angles cut the plane into four sections. 3. Each of those sections is called a quadrant, and they are numbered anticlockwise. _Source: OpenStax College Algebra (CC BY 4.0), section 2.1 The Rectangular Coordinate Systems and Graphs_

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To find the x-intercept of a graph, which value is set to zero?

  1. The value of x
  2. The slope value
  3. The input value
  4. The value of y
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Correct answer: D. The value of y

1. The x-intercept is the point where the graph crosses the x-axis. 2. Every point on the x-axis has a y-coordinate of 0. 3. So set y equal to zero and solve the equation for x. _Source: OpenStax College Algebra (CC BY 4.0), section 2.1 The Rectangular Coordinate Systems and Graphs_

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An equation that is true for every value of the variable is called what?

  1. An identity equation
  2. A conditional equation
  3. An inconsistent rule
  4. A quadratic equation
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Correct answer: A. An identity equation

1. Linear equations in one variable come in three kinds. 2. An identity equation is true for all values of the variable, so its solution set is all real numbers. 3. A conditional equation is true for only some values, and an inconsistent one is true for none. _Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_

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How to practise

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