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STAAR EOC Algebra I Systems of Linear Equations — practice questions

Explore 23 free Systems of Linear Equations questions in STAAR EOC Algebra I Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Systems of Linear Equations questions and exercises with answers

Showing questions 1–23 of 23.

Two or more linear equations grouped together form a:Read the answer and worked solution →A solution of a system of two linear equations is represented by an:Read the answer and worked solution →A system of equations that has at least one solution is called:Read the answer and worked solution →A system of equations with no solution at all is described as:Read the answer and worked solution →How many methods of solving a system of linear equations are set out?Read the answer and worked solution →The third method of solving systems of linear equations is called the:Read the answer and worked solution →To test whether an ordered pair solves a system, substitute its values into:Read the answer and worked solution →An ordered pair solves the system only when it makes both equations:Read the answer and worked solution →If two equations are independent, they each have their own set of:Read the answer and worked solution →Two equations are dependent when all the solutions of one are also solutions of the:Read the answer and worked solution →Graphing two dependent equations produces lines that are:Read the answer and worked solution →The elimination method is based on which property of equality?Read the answer and worked solution →In the substitution method, the first move is to solve one of the equations for:Read the answer and worked solution →A system whose graphs are parallel lines has how many solutions?Read the answer and worked solution →A system whose graphs are coincident lines is described as:Read the answer and worked solution →A system whose graphs are parallel lines is described as:Read the answer and worked solution →Before adding the equations in the elimination method, the coefficients of one variable must be:Read the answer and worked solution →To start the elimination method, both equations must first be written in:Read the answer and worked solution →What do the lines doRead the answer and worked solution →One word is wrongRead the answer and worked solution →Complete the classificationRead the answer and worked solution →Which ones belongRead the answer and worked solution →Order the substitution stepsRead the answer and worked solution →

Worked practice questions

Two or more linear equations grouped together form a:

  1. System of equations
  2. Pyramid of numbers
  3. Register of readings
  4. Calendar of lessons
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Correct answer: A. System of equations

1. A single linear equation on its own is just one equation. 2. Grouping several of them together makes something new. 3. When two or more linear equations are grouped together, they form a system. 4. So the answer is a system of equations. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 5 'Systems of Linear Equations', sections 5.1-5.3_

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A solution of a system of two linear equations is represented by an:

  1. Ordered ticket
  2. Ordered pair
  3. Ordered pizza
  4. Ordered ledger
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Correct answer: B. Ordered pair

1. A solution has to give a value for x and a value for y at once. 2. Those two values are written together in a fixed order. 3. A solution of a system of two linear equations is represented by an ordered pair. 4. So the answer is an ordered pair. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 5 'Systems of Linear Equations', sections 5.1-5.3_

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A system of equations that has at least one solution is called:

  1. Consistent
  2. Inconvenient
  3. Incompetent
  4. Inconclusive
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Correct answer: A. Consistent

1. Systems are named by whether any solution exists at all. 2. A system with at least one solution has a name of its own. 3. A system of equations that has at least one solution is called a consistent system. 4. So the answer is consistent. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 5 'Systems of Linear Equations', sections 5.1-5.3_

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