1.
12 markers cost $9. Which fraction will complete the proportion to find the cost of 15 markers?
Correct Answer
D.
2.
Complete the proportion.13 markers cost $14. Which fraction will complete the proportion to find the cost of 7 markers?
Correct Answer
E. None of these choices.
3.
Which of the following numbers are rational?
Correct Answer(s)
A.
C.
D.
Explanation
The number 0.121121112... is rational because it can be expressed as a fraction. To determine this, we can observe that the number has a repeating pattern, with the digits 1 and 2 repeating in a specific sequence. By representing this pattern as a fraction, we can express it as 121/999, which is a ratio of two integers. Therefore, 0.121121112... is rational.
4.
Sally deposited $85 in her local bank which pays 4% interest. Select the equations that will help Sally calculate her bank balance after one year. Assume she doesn't make any new deposits during the year.
Correct Answer(s)
A.
B.
Explanation
To calculate Sally's bank balance after one year, we need to consider the interest earned on her deposit. The equation that represents the interest earned is: Interest = Principal * Rate * Time. In this case, the principal is $85, the rate is 4% (or 0.04 as a decimal), and the time is 1 year. Therefore, the equation that will help Sally calculate her bank balance after one year is: Balance = Principal + Interest.
5.
Write the repeating decimal as a simplified mixed number.
Correct Answer(s)
1 5/18
1 5/18
6.
Write the repeating decimal as a simplified mixed number.
Correct Answer(s)
1 23/495
1 23/495
7.
Are all integers whole numbers?
Correct Answer
B. No
Explanation
-5 is an integer, but it's not a whole number.
8.
A ___________ number is a number that can written as a ratio of two integers.
Correct Answer
rational
Rational
Explanation
A rational number is a number that can be expressed as a ratio of two integers. In other words, it can be written in the form of a fraction, where the numerator and denominator are both integers. This includes whole numbers, integers, and fractions. The term "rational" is used to describe numbers that can be reasoned or expressed in a ratio, hence the name "rational number".
9.
Which of the following numbers are irrational?
Correct Answer(s)
A.
B.
E. 0.121121112...
Explanation
The number 0.121121112... is irrational because it cannot be expressed as a fraction of two integers. It is a repeating decimal where the pattern of digits 121 repeats indefinitely. Since the pattern does not terminate or repeat in a predictable manner, it cannot be represented as a fraction and is therefore irrational.
10.
Which of the following numbers are irrational?
Correct Answer(s)
A.
B.
E. 0.121121112...
Explanation
The number 0.121121112... is irrational because it cannot be expressed as a fraction of two integers. It is a repeating decimal with a repeating pattern of 1211, which does not terminate or repeat in a predictable manner. Therefore, it falls into the category of irrational numbers.
11.
Sally deposited $94 in her local bank which pays 5% interest. Select the equations that will help Sally calculate her bank balance after one year. Assume she doesn't make any new deposits during the year.
Correct Answer(s)
A.
B.
Explanation
To calculate Sally's bank balance after one year, we need to use the equation for calculating compound interest. The equation is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, the principal amount is $94, the interest rate is 5%, and since it is not mentioned how many times the interest is compounded, we cannot determine the value of n. Therefore, the equation that will help Sally calculate her bank balance after one year is A = 94(1 + 0.05)^t.
12.
Write the repeating decimal as a simplified mixed number.
Correct Answer(s)
1 11/90
1 11/90
13.
Write the repeating decimal as a simplified mixed number.
Correct Answer(s)
1 137/990
1 137/990
14.
Hank just finished his meal at a restaurant and received the $28 bill. He would like to leave a 15% tip to show his appreciation for the great service.Select all equations that would help Hank calculate his total bill including tip.
Correct Answer(s)
A.
B.
C.
15.
Hank just finished his meal at a restaurant and received the $26 bill. He would like to leave a 10% tip to show his appreciation for the great service.Select all equations that would help Hank calculate his total bill including tip.
Correct Answer(s)
A.
B.
C.
Explanation
The correct answer is:
Total bill including tip = Bill + (Bill * 0.10)
This equation correctly calculates the total bill including a 10% tip. It takes the bill amount and adds 10% of the bill amount to calculate the tip. Then, it adds the tip to the bill amount to get the total bill including tip.
16.
All rational numbers are also whole numbers.
Correct Answer
B. False
Explanation
This statement is false because not all rational numbers are whole numbers. Rational numbers include fractions and decimals that can be expressed as a ratio of two integers, while whole numbers include only positive integers and zero. Therefore, there are rational numbers that are not whole numbers, such as 1/2 or 3.14.