Math Certification
The function f(x) = 26.00 + 13.75xf(x)=26.00+13.75x describes the rental fee for an air
compressor, where f(x)f(x) is the total cost and xx is the number of rental hours. The
equation models which of the following situations?
a. A fixed rental charge of $13.75 plus an additional charge of $26.00 per hour.
b. A fixed rental charge of $26.00 plus an additional charge of $13.75 per hour.
c. A rental charge of $26.00 per hour plus an additional charge of $13.75 per hour.
d. A rental charge of $39.75 - answers A fixed rental charge of $26.00 plus an additional
charge of $13.75 per hour.
Mr. Erikson has his friend Ted, who is an architect, come present to the class about how
he uses math in his job. What is Ted likely to talk about?
a. How he did not need to attend college to be an architect.
b. How geometric figures are a part of most buildings.
c. How he uses calculators daily.
d. How he measures in yards. - answers How geometric figures are a part of most
buildings.
Marvin is trying to get to his friend's house. He walks 4 blocks north to the park, then
turns right and walks 3 blocks. Finally he turns right and walks 4 blocks. How far from
his starting point does he wind up?
a. 11 blocks northeast
b. 11 blocks northwest
c. 3 blocks east
d. 3 blocks west - answers 3 blocks east
A student is working through a double-digit multiplication problem and turns in the work
pictured. Which of the following best describes the student's error?
15 x 19 = 135 + 250 = 385
a. the student added the products incorrectly
b. the student erred when multiplying 9 and 15
c. the student's understanding of the base ten numerical system needs remediation
d. the student carried over the hundreds value from the 9 and 15 multiplication -
answers the student carried over the hundreds value from the 9 and 15 multiplication
What is the value of the "3" in the number 17,436,825?
a. 3,000
b. 300
, c. 300,000
d. 30,000 - answers 30,000
Rick pulled a card at random from a normal deck, noted it, replaced it, shuffled, and
drew again. His draws were as follows: 10, J, 10, K, 1, 2, 6, 10, 11, 4
What is the probability that he will draw a 10 on the next draw?
a. 1/4
b. 1/13
c. 3/10
d. 3/8 - answers 1/13
During a lesson on using models in mathematics, a teacher asks the students to figure
out how many hours they spend on homework for all their classes each year. In asking
this question, the teacher has asked the class to:
a. demonstrate their ability to use statistics with data.
b. demonstrate the use of symbols to represent mathematical quantities.
c. demonstrate their proficiency with the use of proofs.
d. demonstrate an understanding of the estimation process. - answers demonstrate an
understanding of the estimation process.
In a unit on personal finance, a sixth-grade teacher wants students to be able to identify
the difference between fixed and variable costs. Which of the following examples would
best highlight this difference?
a. analyzing the money spent on gas each month of an average American and looking
at how much a person drives impacting the price they will pay in gas
b. having students ask their parents what fixed costs they pay each month
c. looking at the differences between a tax deduction and a tax credit
d. categorizing the expenses of a local restaurant into expenses that depend on the
number of customers and expenses that do no not depend on the number of customers
- answers categorizing the expenses of a local restaurant into expenses that depend on
the number of customers and expenses that do no not depend on the number of
customers
What is the mean of the data set below?
15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15
a. 40
b. 47
c. 52
d. 42 - answers 47
The following word problem was given to Mr. Trout's fourth-grade class:
The Hotel Vacay is hosting a Wintertime Brunch for families. Each child that attends
gets to decorate a gingerbread house and use the ice slide 3 times. Every family gets 2
The function f(x) = 26.00 + 13.75xf(x)=26.00+13.75x describes the rental fee for an air
compressor, where f(x)f(x) is the total cost and xx is the number of rental hours. The
equation models which of the following situations?
a. A fixed rental charge of $13.75 plus an additional charge of $26.00 per hour.
b. A fixed rental charge of $26.00 plus an additional charge of $13.75 per hour.
c. A rental charge of $26.00 per hour plus an additional charge of $13.75 per hour.
d. A rental charge of $39.75 - answers A fixed rental charge of $26.00 plus an additional
charge of $13.75 per hour.
Mr. Erikson has his friend Ted, who is an architect, come present to the class about how
he uses math in his job. What is Ted likely to talk about?
a. How he did not need to attend college to be an architect.
b. How geometric figures are a part of most buildings.
c. How he uses calculators daily.
d. How he measures in yards. - answers How geometric figures are a part of most
buildings.
Marvin is trying to get to his friend's house. He walks 4 blocks north to the park, then
turns right and walks 3 blocks. Finally he turns right and walks 4 blocks. How far from
his starting point does he wind up?
a. 11 blocks northeast
b. 11 blocks northwest
c. 3 blocks east
d. 3 blocks west - answers 3 blocks east
A student is working through a double-digit multiplication problem and turns in the work
pictured. Which of the following best describes the student's error?
15 x 19 = 135 + 250 = 385
a. the student added the products incorrectly
b. the student erred when multiplying 9 and 15
c. the student's understanding of the base ten numerical system needs remediation
d. the student carried over the hundreds value from the 9 and 15 multiplication -
answers the student carried over the hundreds value from the 9 and 15 multiplication
What is the value of the "3" in the number 17,436,825?
a. 3,000
b. 300
, c. 300,000
d. 30,000 - answers 30,000
Rick pulled a card at random from a normal deck, noted it, replaced it, shuffled, and
drew again. His draws were as follows: 10, J, 10, K, 1, 2, 6, 10, 11, 4
What is the probability that he will draw a 10 on the next draw?
a. 1/4
b. 1/13
c. 3/10
d. 3/8 - answers 1/13
During a lesson on using models in mathematics, a teacher asks the students to figure
out how many hours they spend on homework for all their classes each year. In asking
this question, the teacher has asked the class to:
a. demonstrate their ability to use statistics with data.
b. demonstrate the use of symbols to represent mathematical quantities.
c. demonstrate their proficiency with the use of proofs.
d. demonstrate an understanding of the estimation process. - answers demonstrate an
understanding of the estimation process.
In a unit on personal finance, a sixth-grade teacher wants students to be able to identify
the difference between fixed and variable costs. Which of the following examples would
best highlight this difference?
a. analyzing the money spent on gas each month of an average American and looking
at how much a person drives impacting the price they will pay in gas
b. having students ask their parents what fixed costs they pay each month
c. looking at the differences between a tax deduction and a tax credit
d. categorizing the expenses of a local restaurant into expenses that depend on the
number of customers and expenses that do no not depend on the number of customers
- answers categorizing the expenses of a local restaurant into expenses that depend on
the number of customers and expenses that do no not depend on the number of
customers
What is the mean of the data set below?
15, 18, 19, 54, 74, 94, 67, 82, 48, 31, 15
a. 40
b. 47
c. 52
d. 42 - answers 47
The following word problem was given to Mr. Trout's fourth-grade class:
The Hotel Vacay is hosting a Wintertime Brunch for families. Each child that attends
gets to decorate a gingerbread house and use the ice slide 3 times. Every family gets 2
