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STAAR EOC Algebra I Quadratic Equations — practice questions

Explore 23 free Quadratic 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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Quadratic Equations questions and exercises with answers

Showing questions 1–23 of 23.

Quadratic equations need different methods from linear equations because adding and dividing terms will not:Read the answer and worked solution →The Square Root Property gives how many solutions to an equation of its form?Read the answer and worked solution →The two solutions given by the Square Root Property are a value and its:Read the answer and worked solution →Which quantity is used to determine the number of solutions of a quadratic equation?Read the answer and worked solution →When the discriminant is zero, the quadratic equation has:Read the answer and worked solution →When the discriminant is positive, the quadratic equation has:Read the answer and worked solution →The graph of a quadratic equation in two variables is called a:Read the answer and worked solution →When the squared term is positive, the parabola opens:Read the answer and worked solution →When the squared term is negative, the parabola opens:Read the answer and worked solution →The line about which a parabola is symmetric is called the:Read the answer and worked solution →The Zero Product Property cannot be used when the right side of the equation is:Read the answer and worked solution →To use completing the square, an equation must first be put into:Read the answer and worked solution →Completing the square relies on the principle that in solving equations you must always:Read the answer and worked solution →A quadratic with a perfect square solved by the quadratic formula gives how many solutions?Read the answer and worked solution →An equation whose discriminant is negative has how many real solutions?Read the answer and worked solution →A parabola whose equation has a negative squared term has a vertex that is its:Read the answer and worked solution →Factoring fails to solve a quadratic directly when the equation has not first been arranged so that one side is:Read the answer and worked solution →The Square Root Property is described as applying to quadratic equations written in which form?Read the answer and worked solution →Stop on the right root countRead the answer and worked solution →Match each quadratic ideaRead the answer and worked solution →Tap which way the parabola opensRead the answer and worked solution →True or false: quadraticsRead the answer and worked solution →Complete the quadratic rulesRead the answer and worked solution →

Worked practice questions

Quadratic equations need different methods from linear equations because adding and dividing terms will not:

  1. Isolate the variable
  2. Balance the equation
  3. Change the constant
  4. Simplify the fraction
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Correct answer: A. Isolate the variable

1. Quadratics resist the moves that solve linear equations. 2. Different methods are used to solve quadratic equations than linear equations. 3. Just adding, subtracting, multiplying, and dividing terms will not isolate the variable. 4. Factoring, the square root property and the quadratic formula are needed instead. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 10 'Quadratic Equations', sections 10.1-10.5_

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The Square Root Property gives how many solutions to an equation of its form?

  1. No solutions
  2. Two solutions
  3. One solution
  4. Three solutions
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Correct answer: B. Two solutions

1. Taking a square root opens two possibilities. 2. The Square Root Property applies to equations of a particular form. 3. It gives two solutions to an equation of that form. 4. The second is the opposite of the first. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 10 'Quadratic Equations', sections 10.1-10.5_

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The two solutions given by the Square Root Property are a value and its:

  1. Its opposite
  2. Its reciprocal
  3. Its square
  4. Its logarithm
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Correct answer: A. Its opposite

1. The pair of roots is symmetric about zero. 2. The Square Root Property gives two solutions. 3. One is the value itself. 4. The other is its opposite. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 10 'Quadratic Equations', sections 10.1-10.5_

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More Mathematics topics

FactoringGraphsExponential FunctionsRoots and RadicalsSystems of Linear EquationsFactor Quadratic Trinomials with Leading Coefficient 1Use the Rectangular Coordinate SystemGraph with Intercepts