Practice Exam Answers

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What are the solutions of the equation open paren x plus 2 close paren squared minus 2 times open paren x plus 2 close paren minus 15 is equal to 0 ? Use u substitution to solve.

A
x is equal to negative 3 and x is equal to 5
B
x is equal to negative 1 and x is equal to 7
C
x is equal to negative 5 and x is equal to 3
D
x is equal to negative 7 and x is equal to 1
23

The domain of u times x is the set of all real values except 0 and the domain of v times x is the set of all real values except 2 What are the restrictions on the domain of open paren u circ v close paren times x ?

A
x is not equal to 2 and x cannot be any value for which v times x is equal to 0
B
u times x is not equal to 2 and v times x is not equal to 0
C
x is not equal to 0 and x cannot be any value for which u times x is equal to 2
D
u times x is not equal to 0 and v times x is not equal to 2
27

You can use a system of equations to graph and solve the polynomial equation 3 x cubed plus x is equal to 2 x squared plus 1 Which statement is true?

A
The y -coordinates of the solutions to the system and the zeroes of the equation are not equal.
B
The equation has one zero, and the system has three solutions.
C
The system has one solution, and the equation has three zeroes.
D
The x -coordinates of the solutions to the system and the zeroes of the equation are not equal.
28

Which of the following is an odd function?

A
g of x is equal to 3
B
g of x is equal to x squared
C
g of x is equal to 5 x minus 1
D
g of x is equal to 4 x
29

What is the solution of the fraction with numerator 2 and denominator x minus 1 is greater than the fraction with numerator 7 and denominator x plus 1 ?

A
x is less than negative 1 or 1 is less than x comma x is less than 9 fifths
B
negative 1 is less than x comma x is less than 1 or x is greater than or equal to 9 fifths
C
negative 1 is less than x comma x is less than 1 or x is greater than 9 fifths
D
x is less than negative 1 or 1 is less than x comma x is less than or equal to 9 fifths
30

Which graph represents the function f of x is equal to the fraction with numerator 1 and denominator x plus 3 minus 2 ?

A
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches 3 from the left. Its turning point is near (2 comma negative 3). The branch on the right approaches infinity as x approaches 3 from the right and approaches y equals negative 2 as x approaches infinity from the left. Its turning point is near (4 comma negative 1).
B
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches 3 from the left. Its turning point is near (2 comma 1). The branch on the right approaches infinity as x approaches 3 from the right and approaches y equals 2 as x approaches infinity from the left. Its turning point is near (4 comma 3).
C
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 3 from the left. Its turning point is near (negative 4 comma negative 3). The branch on the right approaches infinity as x approaches negative 3 from the right and approaches y equals negative 2 as x approaches infinity from the left. Its turning point is near (negative 2 comma negative 1).
D
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 3 from the left. Its turning point is near (negative 4 comma 1). The branch on the right approaches infinity as x approaches negative 3 from the right and approaches y equals 2 as x approaches infinity from the left. Its turning point is near (negative 2 comma 3).
31

The side length, s , of a cube is 3 x plus 2 y If cap v is equal to s cubed , what is the volume of the cube?

A
27 x cubed plus 54 x squared y plus 36 x y squared plus 8 y cubed
B
27 x cubed plus 54 x squared y plus 18 x y squared plus 2 y cubed
C
3 x cubed plus 18 x squared y plus 36 x y squared plus 8 y cubed
D
27 x cubed plus 18 x squared y plus 12 x y squared plus 2 y cubed
32

Use the zero product property to find the solutions to the equation 2 x squared plus x minus 1 is equal to 2

A
x is equal to negative 3 halves or x is equal to 1
B
x is equal to negative 1 half or x is equal to 2
C
x is equal to 1 or x is equal to 3 halves
D
x is equal to negative 2 or x is equal to 1 half
35

Which polynomial function could be represented by the graph?

A
f of x is equal to x squared plus x minus 2
B
f of x is equal to 2 x squared minus 2 x minus 4
C
f of x is equal to x squared minus x minus 2
D
f of x is equal to 2 x squared plus 2 x minus 4

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