Practice Test

Question 1

Graph the function y is equal to x cubed plus 3 x squared minus 1 Based on the graph, what is the least possible x -value if y is equal to 0 ? Round your answer to the nearest hundredth, if necessary.

Revolt · Accepted Answer

negative 2 point 8 8

Question 2

Which equation is the inverse of y is equal to x squared minus 36 ?

Revolt · Accepted Answer

y is equal to plus or minus square root of x plus 36 end root

Question 3

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?

Revolt · Accepted Answer

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

Question 4

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

Revolt · Accepted Answer

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

Question 5

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

Revolt · Accepted Answer

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

Question 6

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?

Revolt · Accepted Answer

25

Question 7

Louis used a quadratic equation to model the height, y , of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

Revolt · Accepted Answer

open paren negative 4 comma 1 close paren

Question 8

Which is the graph of the function f of x is equal to x cubed minus x squared minus 17 x minus 15 ?

Revolt · Accepted Answer

Image with description A coordinate plane. The horizontal axis is labeled from negative 5 to 5 with increments of 1, and the vertical axis is labeled from negative 50 to 50 with increments of 10. The curve represents a polynomial function with a local maximum vertex located at the coordinate points negative 2 comma 7 and a local minimum vertex located at 2 comma negative 47. Moving along the curve, it crosses the vertical axis at a y-intercept of 0 comma negative 15 and intersects the horizontal axis at three x-intercepts located at negative 3 point 2 comma 0, minus 1 comma 0, and 4 point 6 comma 0. The left end of the curve extends downward into the third quadrant with an arrow at negative 4 point 5 comma negative 50, while the right end extends upward into the first quadrant with an arrow at 5 comma 0.

Question 9

Which equation is the inverse of y is equal to 7 x squared minus 10 ?

Revolt · Accepted Answer

y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root

Question 10

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

Revolt · Accepted Answer

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

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