MATH 1301
A television sells for $800. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $50 down and $100 a month for 14 months. How much is saved by paying the total amount at the time of the purchase?
$650
Use inductive reasoning to predict the next three numbers in the pattern. 21,15,9,3...
-3,-9,-15
Use inductive reasoning to predict the next line in the pattern. 100 = 10 squared 1000 = 10 cubed 10,000 = 10 to the 4th 100,000 - 10 to the fifth
1,000,000 = 10 to the sixth
Use inductive reasoning to predict the next three numbers in the pattern. 1, 1/5, 1/9, 1/13...
1/17, 1/21, 1/25
Use inductive reasoning to predict the next three numbers in the pattern. 15,18,21,24,...
27,30,33
At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 22-ft stick in the ground casts a shadow of 1.2 ft, find the height of a tree that casts a shadow that is 21.36 ft.
35.6 feet
An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Determine the next three square numbers.
36, 49, 64
On a map, 1 inch equals 11 miles. If two cities are 3.5 inches apart on the map, how far are they actually apart?
38.5 miles
Use inductive reasoning to predict the next three numbers in the pattern. 3,-6,12,-24...
48,-96,192
Use inductive reasoning to predict the next line in the pattern. 1x5=5 2x5=10 3x5=15 4x5=20
5x5=25
Find the next number in the sequence. 16,25,36,49...
64
To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 84,78, 81, and 76. What is the lowest score that she can get on the last test and still get a B?
81
Use inductive reasoning to predict the next three numbers in the pattern. 4,9,13,22,35,57...
92,149,241
Find the counterexample to show that the statement is incorrect. When a counting number is added to 3 and the sum is divided by 2, the quotient will be an even number.
A
The bar graph shows population figures for 1900 and 2000 and estimated population figures for 2050. Estimate the number of people 65 and older in 1900. Choose the correct estimate below. A. 5 million B. 30 million C. 40 million D. 100 million
A
The circle graph to the right shows the percent of health club memberships, by age, in a certain country. A certain health club had 800 members in a recent year. Estimate the number of health club members at this health club who were age 17 and younger. Choose the correct estimate below. A. 80 B. 8 C. 800 D. 240
A
The government of a certain country owns land within the country. The graph to the right shows the percent of land owned by the government in 4 of the country's regions. By just looking at the graph, is it possible to determine whether the federal government owns more land in Region A or Region C? A. No, we are not given the area of each region. B. Yes, the government owns more land in region A. C. Yes, the government owns more land in region C.
A
Estimate the increase in the number of people 65 and older from 2000 to 2050. Choose the correct estimate below. Estimate the total population in 2000 by adding the five categories. Choose the correct estimate below. A. 415 million B. 280 million C. 145 million D. 80 million
B
Estimate the number of health club members at this health club who were age 17 and younger. Choose the correct estimate below. Estimate the number of health club members at this health club who were in the age group 55 plus. Choose the correct estimate below. A. 80 B. 200 C. 20 D. 2000
B
Find a counterexample to show that the statement is incorrect. The product of any two counting numbers is divisible by 2. A. 2×4=8, which is not divisible by 2. B. 3×5=15, which is not divisible by 2. C. 2×3=6, which is not divisible by 2. D. 3×4=12, which is not divisible by 2
B
Find the counterexample to show that the statement is incorrect. The difference of any two counting numbers will be a counting number.
B
In a shop that sells a variety of nuts, the prices of some items are as given below. If Sarah buys 2 lb of cashews, 1 lb of walnuts, and 2 lb of raisins, how much did she have to pay? A. $24.40 B. $20.40 C. $16.40 D. $27.90
B
The bar graph shows population figures for 1900 and 2000 and estimated population figures for 2050. Estimate the number of people 65 and older in 2050. Choose the correct estimate below. A. 90 million B. 40 million C. 100 million D. 110 million
C
The circle graph to the right shows the percent of health club memberships, by age, in a certain country. A certain health club had 800 members in a recent year. Estimate the number of health club members at this health club between the ages of 18 and 34. Choose the correct estimate below. A. 80 B. 2400 C. 240 D. 24
C
The government of a certain country owns land within the country. The graph to the right shows the percent of land owned by the government in 4 of the country's regions. Estimate the difference between Region B and Region D in the percent of land owned by the government. Choose the correct estimate below. A. 25% B. 65% C. 15% D. 50%
C
Estimate the number of people 65 and older in 2050. Choose the correct estimate below. Estimate the increase in the number of people 65 and older from 2000 to 2050. Choose the correct estimate below. A. 100 million B. 40 million C. 5 million D. 60 million
D
Estimate the percent of area that is shaded in the following figure.
D
The government of a certain country owns land within the country. The graph to the right shows the percent of land owned by the government in 4 of the country's regions. Estimate the percent of land owned by the government in Region A. Choose the correct estimate below. A. 65% B. 85% C. 60% D. 75%
D
An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Is 72 a square number? Explain how you determined your answer.
No, because it falls between two square numbers, 8 squared and 9 squared, and there is no natural number between 8 and 9.
An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Describe a procedure to determine the next five square numbers without drawing the figures.
Square 6, 7, 8, 9, and 10.
A belief based on specific observations that has not been proven or disproven is called a conjecture or _______.
a hypothesis
Another name for the natural numbers is the _____________ numbers.
counting
The type of reasoning used to prove a conjecture is called _______ reasoning.
deductive
Fill in the blank with an appropriate word. The process of arriving at an approximate answer to a question is called ______________
estimation
The process of reasoning to a general conclusion through observation of specific cases is called _______ reasoning.
inductive
Find the letter that will be entry #124 in the sequence. B,V,V,V,V,V,B,V,V,V,V,V...
V