Praxis 5164 Exam Questions & Answers
(Grade A+)
Andre has driven 98 miles, which is 35% of the total distance he
must drive on his trip.
How many more miles does Andre have to drive on his trip? -
correct answer ✅182
*Elizabeth owns x books. Kierra owns 5 more books than Elizabeth
and 8 fewer than Ana. Which of the following expressions
represents the total number of books the three girls own? -
correct answer ✅3x+18
Since it is given that Elizabeth owns x books, it can be determined
that Kierra owns x+5 books and Ana owns x+5+8 books. The total
number of books the girls own is x+x+5+x+5+8=3x+18
If f(x) = -x^2-2x+4, what is the value of f(-2)? -
correct answer ✅4
*Following an introductory lesson on multiplying two binomials,
Ms. Davis wants to follow up with a quick problem at the end of
class to assess student proficiency. The students will write their
final answers on slips of paper and hand them to Ms. Davis as they
exit the class. Which of the following expressions would be LEAST
useful for assessing student proficiency in multiplying two
binomials?
,Praxis 5164 Exam Questions & Answers
(Grade A+)
A. (x-3)(x-5)
B. (x+3)(x-5)
C. (x-5)(x+5)
D. (x+5)(x+5) -
correct answer ✅(x-5)(x+5)
A common error that students make when multiplying binomials is
to multiply only the x terms and the constant terms, forgetting to
multiply each of these by one another. Therefore, a *useful
assessment problem would be one where this common error would
lead to an incorrect answer* so that Ms. Davis would know
whether a student is using incorrect reasoning. A student who
makes this error when multiplying the binomials in option (C) will
still get the correct answer.
The length of a right rectangular prism is twice it's height, and the
height of the prism is twice it's width. If the volume of the prism is
1,000 cubic inches, what is the height, in inches, of the prism? -
correct answer ✅10
The number of the bacteria in a culture doubled every hour. The
cultured started with 10 bacteria. Which of the following functions
models the number of bacteria in the culture after t hours? -
correct answer ✅f(t) = 10(2)^t
,Praxis 5164 Exam Questions & Answers
(Grade A+)
Ms. Pastel's students are working on summarizing data collected
from measurements on a single variable. She asks them to make
observations about the following list of the numbers of students in
each mathematics class at Franklin Middle School.
16,20,21,18,28,29,22,21,26,28,22,19,25,22,28
Which of the following student statements provides evidence of
statistically appropriate reasoning about the data?
A. There are two numbers that show up three times in the list, so
that means the list has two modes.
B. The outliers in the list are 16 and 29 because those are the
smallest and largest numbers in the list.
C. The median number of students in a math class is 21 because
there are 7 numbers before it and 7 numbers after it in the list you
showed us.
, Praxis 5164 Exam Questions & Answers
(Grade A+)
D. Since there are 6 numbers in the list that are less than 22 and 6
numbers that are greater than 22, the mean number of students in
a math class has to be 23. -
correct answer ✅A.
The mode is the number that appears the most in a set of data, and
a set of data can have one mode, more than one mode, or no
mode.
Company F charges a one-time fee of $85.00 to rent a truck plus
$0.60 for every mile driven. Company G charges a one-time fee of
$61.00 to rent a truck plus $0.90 for every mile driven.
For what number of miles is the cost to rent a truck the same at
both companies?
____Miles -
correct answer ✅80 miles
c=85+0.6m
c=61+0.9m
85+0.6m=61+0.9m
(Grade A+)
Andre has driven 98 miles, which is 35% of the total distance he
must drive on his trip.
How many more miles does Andre have to drive on his trip? -
correct answer ✅182
*Elizabeth owns x books. Kierra owns 5 more books than Elizabeth
and 8 fewer than Ana. Which of the following expressions
represents the total number of books the three girls own? -
correct answer ✅3x+18
Since it is given that Elizabeth owns x books, it can be determined
that Kierra owns x+5 books and Ana owns x+5+8 books. The total
number of books the girls own is x+x+5+x+5+8=3x+18
If f(x) = -x^2-2x+4, what is the value of f(-2)? -
correct answer ✅4
*Following an introductory lesson on multiplying two binomials,
Ms. Davis wants to follow up with a quick problem at the end of
class to assess student proficiency. The students will write their
final answers on slips of paper and hand them to Ms. Davis as they
exit the class. Which of the following expressions would be LEAST
useful for assessing student proficiency in multiplying two
binomials?
,Praxis 5164 Exam Questions & Answers
(Grade A+)
A. (x-3)(x-5)
B. (x+3)(x-5)
C. (x-5)(x+5)
D. (x+5)(x+5) -
correct answer ✅(x-5)(x+5)
A common error that students make when multiplying binomials is
to multiply only the x terms and the constant terms, forgetting to
multiply each of these by one another. Therefore, a *useful
assessment problem would be one where this common error would
lead to an incorrect answer* so that Ms. Davis would know
whether a student is using incorrect reasoning. A student who
makes this error when multiplying the binomials in option (C) will
still get the correct answer.
The length of a right rectangular prism is twice it's height, and the
height of the prism is twice it's width. If the volume of the prism is
1,000 cubic inches, what is the height, in inches, of the prism? -
correct answer ✅10
The number of the bacteria in a culture doubled every hour. The
cultured started with 10 bacteria. Which of the following functions
models the number of bacteria in the culture after t hours? -
correct answer ✅f(t) = 10(2)^t
,Praxis 5164 Exam Questions & Answers
(Grade A+)
Ms. Pastel's students are working on summarizing data collected
from measurements on a single variable. She asks them to make
observations about the following list of the numbers of students in
each mathematics class at Franklin Middle School.
16,20,21,18,28,29,22,21,26,28,22,19,25,22,28
Which of the following student statements provides evidence of
statistically appropriate reasoning about the data?
A. There are two numbers that show up three times in the list, so
that means the list has two modes.
B. The outliers in the list are 16 and 29 because those are the
smallest and largest numbers in the list.
C. The median number of students in a math class is 21 because
there are 7 numbers before it and 7 numbers after it in the list you
showed us.
, Praxis 5164 Exam Questions & Answers
(Grade A+)
D. Since there are 6 numbers in the list that are less than 22 and 6
numbers that are greater than 22, the mean number of students in
a math class has to be 23. -
correct answer ✅A.
The mode is the number that appears the most in a set of data, and
a set of data can have one mode, more than one mode, or no
mode.
Company F charges a one-time fee of $85.00 to rent a truck plus
$0.60 for every mile driven. Company G charges a one-time fee of
$61.00 to rent a truck plus $0.90 for every mile driven.
For what number of miles is the cost to rent a truck the same at
both companies?
____Miles -
correct answer ✅80 miles
c=85+0.6m
c=61+0.9m
85+0.6m=61+0.9m
