Mathematics: Fractions, Ratios, and the Number System
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15 Terms
The diagram shown best models which of the following fraction operations?
1/3 + 1 5/6
1 5/6 - 1/3
1/3 * 1 5/6
1 5/6 / 1/3
1 5/6 - 1/3
A student used the rectangle shown to find the product of 3 6/7 × 2 2/5. What is the sum of areas B and C?
44/35
102/35
114/35
118/35
102/35
The ratio of number of children to number of adults who attended a performance was 5:3. The admission price or children was $8 and for adults was $12. If the total revenue for the performance was $3,040, how many adults were in attendance?
95
120
152
228
120
Suppose the price of a gallon of unleaded gasoline increases by 20% and then decreases by 30%. What is the resulting percent change with respect to the intial price of gasoline?
4% increase
6% increase
10% decrease
16% decrease
16% decrease
Two classrooms have a total of 32 students. The ratio of the number of students in classroom A to the number in classroom B is 3:5.
D
A fraction in lowest terms is converted to its decimal equivalent. Which of the following values could be the denominator of the fraction if the decimal equivalent terminates?
1150
1250
1350
1450
1350
The work shown was done by a student who was asked to place 5 unit fractions on a number line. Based on the diagram, the student mist likely believes that:
the numbers in fractions are two unrelated whole numbers
there are a limited number of unit fractions less than 1
equivalent fractions are represented by the same point on a number line
unit fractions are ordered by their denominators
unit fractions are ordered by their denominators
In which of the following numbers does the digit 5 have the largest value?
3.051 x * 10^-2
5.263 * 10^-1
4.517 * 10³
2.125 * 10^4
4.517 * 10³
if n represents a negative integer, which of the following statements must be true for all possible values of n?
n + is a postive integer
n * 100 is a postive integer
n² is a positive integer
n^# is a positive integer
n² is a positive interger
Given that a and b are both prime numbers, which of the following products results in a perfect square that has exactly 9 whole number factors?
a² * b²
a² * b^4
a^4 * b^4
a^9 * b^9
a² * b²
The Venn Diagram above shows the prime factorization of the whole numbers A, B, and C. Based on the information in the diagram, which of the following is the greatest common factor of A and B?
xy
xz
x²yz
x³yz²
xy
Which of the following expressions is equal to cubed root of n^4?
n ^ ¾
n ^ 4/3
3n²
n² / 3
n ^ 4/3
Which if the following expressions is equivalent to (2x)³(x^5y^6)/4x²y²?
1/2 x^4 y³
1/2x^6y^4
2x^4y³
2x^6y^4
2x^6y^4
Which of the following problems would be best used to assess a student’s understanding of least common multiple?
A small bag of marbles cost 60 cents and a large bag cost 75 cents. If each marble the same amount, what is the lowest possible number of marbles in the small bag?
Six classes of students need to ride buses to go on a field trip. Each class has 18 students and each us can carry 48 students. What is the fewest number of buses required to hold all the students?
At a local bakery, every forth customer received a free cookie and every sixth customer received a free doughnut. Which customer is the first to receive both a free cookie and doughnut?
A rectangular garden has an area of 24 square feet using only whole number dimensions, which length and width will have the smallest perimeter?
At a local bakery, every forth customer received a free cookie and every sixth customer received a free doughnut. Which customer is the first to receive both a free cookie and doughnut?
Which of the following problems would be most appropriate to introduce a unit on exponents?
A younger brother starst wuth $75 and plans to save $10 more a week. His older brother starts off with $50 and plans to save $15 more each week. How many weeks will it take for the older brothers savings to be greater than the younger brother’s?
An advertiser is enlarging a photograph with a width of 3 cm for a poster. Each time the photograph is enlarged, its width doubles, What is the width of the photo after enlargements?
An athlete jogs 20 minutes each day for 1 week. each week thereafter, the athlete increases the jogging time by 4 minutes. What is the athlete’s jogging time after 6 weeks?
A grocer stacks a display of cereal boxes so that the bottom row has 20 boxes and each successive row has 1 less box than the previous one. What is the total number of boxes in the bottom 5 rows?
An advertiser is enlarging a photograph with a width of 3 cm for a poster. Each time the photograph is enlarged, its width doubles, What is the width of the photo after enlargements?