Practice Exam Answers

45 verified answers
21
Free Preview

Which is a stretch of an exponential growth function?

A
f of x is equal to 3 halves times 3 halves to the x th power
B
f of x is equal to 2 thirds times 3 halves to the x th power
C
f of x is equal to 3 halves times 2 thirds to the x th power
D
f of x is equal to 2 thirds times 2 thirds to the x th power
22
Free Preview

Which is a factor of 144 minus 49 x squared ?

A
12 minus 7 x squared
B
12 minus 7 x
C
72 minus 7 x squared
D
72 plus 7 x
24

Logan saves the same amount of money each month for college. His current total savings is 300 m squared plus 120 m plus 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

A
30 times open paren 10 m squared plus 4 m plus 60 close paren
B
10 m open paren 30 m squared plus 12 m plus 18 close paren
C
4 m open paren 75 m squared plus 30 m plus 40 close paren
D
60 times open paren 5 m squared plus 2 m plus 3 close paren
25

Solve x squared negative 8 x is equal to 20 by completing the square. Which is the solution set of the equation?

A
start set negative 2 comma 10 end set
B
start set negative 14 comma 22 end set
C
start set negative 22 comma 14 end set
D
start set negative 10 comma 2 end set
27

Which is the graph of the sequence defined by the function f of open paren x plus 1 close paren is equal to 3 fifths f x when the first term in the sequence is 375 ?

A
Image with description A coordinate plane with 4 plotted points. The x-axis labeled from 0 to 5 and the y-axis labeled from 0 to 500 in increments of 1. The points are 0 comma 375, 1 comma 75, 2 comma 15, 3 comma 3.
B
Image with description A coordinate plane with 4 plotted points. The x-axis labeled from 0 to 5 and the y-axis labeled from 0 to 500 in increments of 1. The points are 1 comma 375, 2 comma 75, 3 comma 15, 4 comma 3.
C
Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 375), (1 comma 225), (2 comma 135), (3 comma 81).
D
Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 375), (2 comma 225), (3 comma 135), (4 comma 81).
28

A quadratic equation of the form 0 is equal to a x squared plus b x plus c has one real number solution. Which could be the equation?

A
0 is equal to 2 x squared minus 5 x plus 3
B
0 is equal to 2 x squared minus 4 x plus 1
C
0 is equal to negative 2 x squared minus 3 x minus 1
D
0 is equal to negative 2 x squared minus 4 x minus 2
29

Which is the graph of a quadratic equation that has a negative discriminant?

A
Image with description On a coordinate plane, the x and y axes are ranges from negative 10 to 10 with an increment of 2. The curve represent the parabola which is opening downward. The vertex of parabola is located at negative 2 comma 8. The curve passes through the point negative 4 comma 4, 0 comma 4, negative 5 comma 0 and 1 comma 0. The arrow is present on both ends of the curve.
B
Image with description On a coordinate plane, the x and y axes are ranges from negative 10 to 10 with an increment of 2. The curve represent the parabola which is opening upward. The vertex of parabola is located at negative 2 comma 4. The curve passes through the point negative 4 comma 8 and 0 comma 8. The arrow is present on both ends of the curve.
C
Image with description On a coordinate plane, the x and y axes are ranges from negative 10 to 10 with an increment of 2. The curve represent the parabola which is opening upward. The vertex of parabola is located at negative 2 comma 0. The curve passes through the point negative 4 comma 4, 0 comma 4, negative 5 comma 8 and 1 comma 8. The arrow is present on both ends of the curve.
D
Image with description On a coordinate plane, the x and y axes are ranges from negative 10 to 10 with an increment of 2. The curve represent the parabola which is opening downward. The vertex of parabola is located at negative 2 comma 0. The curve passes through the point negative 4 comma negative 4, 0 comma negative 4, negative 5 comma negative 8 and 1 comma negative 8. The arrow is present on both ends of the curve.
30

A rectangle has an area of open paren x squared minus 17 x plus 72 close paren square units. Since the area of a rectangle is determined using the formula, cap A is equal to l w , what could be the length and width of the rectangle?

A
length is equal to open paren x plus 12 close paren units and width ​​​​​​​ is equal to open paren x plus 6 close paren units
B
length is equal to open paren x minus 6 close paren units and width ​​​​​​​ is equal to open paren x minus 12 close paren units
C
length is equal to open paren x plus 9 close paren units and ​​​​​​​width ​​​​​​​ is equal to open paren x plus 8 close paren units
D
length is equal to open paren x minus 8 close paren units and width​​​​​​​ is equal to open paren x minus 9 close paren units
32

What is a solution to open paren x plus 6 close paren times open paren x plus 2 close paren is equal to 60 ?

A
x is equal to negative 4
B
x is equal to 12
C
x is equal to 4
D
x is equal to negative 6
33

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x -axis at x is equal to negative 6 Which function could Heather be writing?

A
f of x is equal to negative x squared minus 12 x minus 36
B
f of x is equal to x squared plus 36 x plus 12
C
f of x is equal to negative x squared plus 12 x plus 36
D
f of x is equal to x squared minus 36 x minus 12
34

What is the factorization of g cubed minus 125 ?

A
open paren g minus 5 close paren times open paren g squared plus 5 g plus 25 close paren
B
open paren g minus 25 close paren times open paren g squared plus 25 g plus 625 close paren
C
open paren g minus 25 close paren times open paren g squared plus 5 g plus 125 close paren
D
open paren g minus 5 close paren times open paren g squared plus 5 g plus 10 close paren
38

Which steps could be part of the process in algebraically solving the system of equations, y plus 5 x is equal to x squared plus 10 and y is equal to 4 x minus 10 ? Choose two correct answers.

A
0 is equal to x squared minus 9 x
B
One x -value of a solution to the system is 4 .
C
y plus 5 x is equal to x squared plus 10 plus 4 x minus 10
D
y is equal to x squared plus 5 x plus 10
E
0 is equal to x squared minus 9 x plus 20
39

The function f of x is equal to 5 times 1 fifth to the x th power is reflected over the y -axis. Which equations represent the reflected function? Choose two correct answers.

A
f of x is equal to 1 fifth times 5 raised to the negative x power
B
f of x is equal to 1 fifth 1 fifth 1 fifth to the x th power
C
f of x is equal to 5 times 5 to the x th power
D
f of x is equal to 5 times 5 raised to the negative x power
E
f of x is equal to 5 times 1 fifth raised to the negative x power

Did you find these answers helpful?