HiSET Equations in Quadratic Form — practice questions

Explore 3 free Equations in Quadratic Form questions in HiSET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Equations in Quadratic Form questions and exercises with answers

Showing questions 1–3 of 3.

How is an equation in quadratic form usually solved?Read the answer and worked solution →Judge each claim about the two graphsRead the answer and worked solution →Type the exponent each logarithm hidesRead the answer and worked solution →

Worked practice questions

How is an equation in quadratic form usually solved?

By dividing out every variable
By squaring both sides once
By graphing both sides first
By substituting one new variable

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Correct answer: D. By substituting one new variable

1. An equation is in quadratic form when squaring the variable part of the middle term gives the first term. 2. Letting a new variable u stand for that middle variable part turns it into an ordinary quadratic. 3. Solve that quadratic by any usual method. 4. Then put the original expression back in place of u and finish solving. _Source: OpenStax Intermediate Algebra (CC BY 4.0), section 9.4 Solve Quadratic Equations in Quadratic Form_

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Judge each claim about the two graphs

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Questions

Statement is true
Yes
Statement
An exponential graph crosses the vertical axis at the point (0, 1).
Statement is true
No
Statement
An exponential graph dips below the horizontal axis for large inputs.
Statement is true
Yes
Statement
A logarithmic graph crosses the horizontal axis at the point (1, 0).
Statement is true
No
Statement
A logarithmic graph has a horizontal asymptote along the line y = 0.
Statement is true
Yes
Statement
The domain of a logarithmic function is every positive number.
Statement is true
No
Statement
The range of an exponential function is every real number.

Instructions

Tap true or false for each claim about exponential and logarithmic graphs.

_Source: OpenStax Intermediate Algebra (CC BY 4.0), section 10.3 Evaluate and Graph Logarithmic Functions_

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Type the exponent each logarithm hides