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Accuplacer Linear Equations in One Variable — practice questions

Explore 11 free Linear Equations in One Variable questions in Accuplacer Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Linear Equations in One Variable questions and exercises with answers

Showing questions 1–11 of 11.

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 →Solving an equation leaves the statement negative 15 equal to negative 20. What kind of equation is it?Read the answer and worked solution →What is the slope of the line through (-2, 6) and (4, -3)?Read the answer and worked solution →Two lines never meet. What must be true of their slopes and intercepts?Read the answer and worked solution →A line has slope four fifths. What is the slope of a line perpendicular to it?Read the answer and worked solution →Every point on a line has x-coordinate 6. What is the slope of that line?Read the answer and worked solution →Solve the rational equation 5 over 2x, minus 3 over x, equal to one quarter.Read the answer and worked solution →Write the line through (2, -1) and (6, 7) in slope-intercept form.Read the answer and worked solution →Pick the line with the greater slopeRead the answer and worked solution →Swipe each slope pair into its familyRead the answer and worked solution →

Worked practice questions

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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What is the slope of a horizontal line?

  1. It is exactly one
  2. It is undefined
  3. It is exactly zero
  4. It is negative
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Correct answer: C. It is exactly zero

1. Slope is the change in y divided by the change in x. 2. On a horizontal line every point has the same y-coordinate, so the change in y is 0. 3. Zero divided by any non-zero change in x is 0, so the slope is zero. _Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_

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Solving an equation leaves the statement negative 15 equal to negative 20. What kind of equation is it?

  1. An identity equation
  2. An inconsistent equation
  3. A conditional equation
  4. A rational equation
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Correct answer: B. An inconsistent equation

1. Both variable terms have cancelled, leaving only numbers. 2. The numbers left behind are not equal, so the statement is false. 3. A false statement means no value of the variable can work, so the equation is inconsistent. 4. An identity would instead leave a true statement such as negative 15 equal to negative 15. _Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_

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More Mathematics topics

Coordinate Plane and GraphsLinear and Absolute Value InequalitiesRadical and Absolute Value EquationsComposition of FunctionsDomain and RangeFunctions and Function NotationInverse FunctionsModels and Applications