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HiSET — free MCQ practice

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HiSET subjects

Mathematics (38)

Explore popular topics

The Quadratic FormulaGraphing Quadratic FunctionsLogarithmic FunctionsApplications of Quadratic EquationsExponential and Logarithmic EquationsQuadratic InequalitiesSquare Root PropertyEquations in Quadratic FormExponential FunctionsProperties of LogarithmsCompleting the SquareQuadratic Equations and FunctionsTransformations of Parabolas

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An equation reads x squared equal to k. How many solutions does the Square Root Property give?Read the answer and worked solution →How many square roots does every positive number have?Read the answer and worked solution →What is the standard form of a quadratic equation?Read the answer and worked solution →What is the expression b squared minus 4ac called?Read the answer and worked solution →

Worked practice questions

An equation reads x squared equal to k. How many solutions does the Square Root Property give?

  1. It gives one solution
  2. It gives four solutions
  3. It gives two solutions
  4. It gives no solutions
Show answer and solution

Correct answer: C. It gives two solutions

1. A square root of a number is any value whose square is that number. 2. Squaring a positive value and squaring its opposite give the same result. 3. So the Square Root Property returns both the principal square root and its opposite, which is two solutions. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.1 Solve Quadratic Equations Using the Square Root Property_

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How many square roots does every positive number have?

  1. It has two square roots
  2. It has one square root
  3. It has three square roots
  4. It has four square roots
Show answer and solution

Correct answer: A. It has two square roots

1. If a value squared gives a number, that value is a square root of the number. 2. Squaring 13 gives 169, and squaring negative 13 also gives 169. 3. So every positive number has two square roots, one positive and one negative. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.1 Solve Quadratic Equations Using the Square Root Property_

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What is the standard form of a quadratic equation?

  1. ax cubed + bx + c = 0
  2. ax + bx squared = c
  3. ax squared + bx = cx
  4. ax squared + bx + c = 0
Show answer and solution

Correct answer: D. ax squared + bx + c = 0

1. A quadratic equation has a term in which the variable is raised to the second power. 2. In standard form every term is collected on one side and the other side is 0. 3. That gives ax squared plus bx plus c equal to 0, where a may not be 0. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.3 Solve Quadratic Equations Using the Quadratic Formula_

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