Answers Advanced Algebra Concepts and ConnectionsModeling with Polynomial Functions: Quadratics and Complex Numbers

Practice Test Answers

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What is the greatest possible integer value of x for which square root of x minus 5 end root is an imaginary number?

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Using the quadratic formula to solve 11 x squared minus 4 x is equal to 1 , what are the values of x ?

2 over 11 plus or minus the fraction with numerator 2 square root of 15 and denominator 11

2 over 11 plus or minus the fraction with numerator square root of 7 and denominator 11

2 over 11 plus or minus the fraction with numerator square root of 15 and denominator 11

2 over 11 plus or minus the fraction with numerator square root of 7 i and denominator 11

Which graph represents the solution set for the quadratic inequality x squared plus 2 x plus 1 is greater than 0 ?

Image with description A number line, labeled x, is marked with integers from negative 5 to 5. An open circle is at 1, and a thick line extends from this point to the right, with an arrow indicating it continues indefinitely.

Image with description A number line, labeled x, is marked with integers from negative 5 to 5. A closed circle is at negative 1, and a thick line extends from this point to the right, with an arrow indicating it continues indefinitely.

Image with description A number line, labeled x, is marked with integers from negative 5 to 5. A closed circle is at negative 1, and a thick line extends from this point to the left, with an arrow indicating it continues indefinitely.

Image with description A number line, labeled x, is marked with integers from negative 5 to 5. An open circle is at negative 1, and a thick line extends indefinitely in both directions with arrows at each end.

Dimitri is solving the equation x squared minus 10 x is equal to 21 Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

100

Which equation is y is equal to negative 6 x squared plus 3 x plus 2 rewritten in vertex form?

y is equal to negative 6 times open paren x minus 1 fourth close paren squared plus 19 eighths

y is equal to negative 6 times open paren x plus 1 fourth close paren squared plus 13 eighths

y is equal to negative 6 times open paren x minus 1 close paren squared plus 8

y is equal to negative 6 times open paren x minus 1 half close paren squared plus 7 halves

Which equation is y is equal to 3 times open paren x minus 2 close paren squared minus open paren x minus 5 close paren squared rewritten in vertex form?

y is equal to 2 times open paren x minus 1 half close paren squared minus 53 fourths

y is equal to 2 times open paren x minus 1 half close paren squared minus 27 halves

y is equal to 2 times open paren x minus 1 close paren squared minus 11

y is equal to 3 times open paren x minus 7 halves close paren squared minus 27 fourths

If the discriminant of a quadratic equation is 4, which statement describes the roots?

There are two complex roots.

There are two real roots.

There is one complex root.

There is one real root.

What are the values of x in the equation x squared minus 6 x plus 9 is equal to 25 ?

x is equal to negative 2 or x is equal to 8

x is equal to 1 or x is equal to 11

x is equal to 2 or x is equal to negative 8

x is equal to negative 1 or x is equal to negative 11

Which quadratic inequality in standard form represents the relationship in the graph?

y is less than or equal to 3 x squared minus 36 x plus 96

y is less than or equal to negative 3 x squared plus 36 x minus 96

y is less than negative 3 x squared plus 36 x minus 96

y is less than 3 x squared minus 36 x plus 96

Which quadratic inequality in vertex form represents the relationship in the graph?

y is greater than or equal to negative 2 times open paren x plus 4 close paren squared plus 28

y is greater than open paren x minus 4 close paren squared plus 28

y is greater than or equal to 2 ninths times open paren x minus 4 close paren squared plus 28

y is greater than open paren x plus 4 close paren squared plus 28

What is the solution set of the quadratic inequality f of x is less than or equal to 0 ?

start set x such that x is equal to 5 end set

start set x such that x is equal to negative 5 end set

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start set x such that x is in the real numbers end set

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y , of the rectangular garden that she creates if one side is x feet long? cap A is equal to l w

y is equal to open paren 120 minus x close paren times open paren 120 plus x close paren

y is equal to open paren 60 minus x close paren times x

y is equal to open paren 120 minus x close paren times x

y is equal to open paren 60 minus x close paren times open paren 60 plus x close paren

Which equation is an example of the commutative property of multiplication?

open paren 4 plus 2 i close paren is equal to open paren 4 plus 2 i plus 0 close paren

open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren is equal to open paren 3 minus 5 i close paren times open paren 4 plus 2 i close paren

open paren 4 plus 2 i close paren is equal to open paren 2 i plus 4 close paren

open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren is equal to open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren times 1