AzM2 Grade 8 Math Test — Questions and Answers
Question 1: Which of these two figures will the 30 fall between?
- 5 and 6 (Correct answer)
- -5 and -6
- 0 an1
- 4 and 5
Correct answer: 5 and 6
Explanation: <br>
52 = 25 and 62 = 36. <br>
<br>
25 < 30 < 36 <br>
<br>
√25 < √30 < √36 <br>
<br>
5 < √30 < 6 <br>
<br>
Therefore, √30 falls between 5 and 6.
Question 2: Which of the ordered pairs below corresponds to a function? Choose all that apply.
- {(7, 5), (3, 5), (1, 5), (-3, 5)} (Correct answer)
- {(7, 3), (2, 6), (3, 8), (2, 5)}
- {(0, 5), (8, 3), (7, 6), (0, 2)}
- {(1, 8), (1, 7), (1, 9), (1, 0)}
- {(-1, 2), (-2, 3), (-4, 9), (-1, 7)}
Correct answer: {(7, 5), (3, 5), (1, 5), (-3, 5)}
Correct answer: <br>
Repeated x-values are not allowed in a function.
Question 3: Choose the appropriate ending(s) for the following sentence: A set of points is a function only if and only if
Instructions: Check all of the boxes that apply.
- there is no correct answer.
- each output has exactly one input.
- each x is paired with one and only one y (Correct answer)
- each y is paired with only one x.
- each input has exactly one output. (Correct answer)
Correct answer: each x is paired with one and only one y
Correct answer: <br>
The input and x values are the same, as are the output and y values. Each x in a function can only have one y. Both choices (B) and (E) use different words to express this.
Question 4: To answer, use the table below. <br>
<br>
In the table, what is the rate of change?
Correct answer: 3
Correct answer: <br>
Take a look at (the change in y)/ (change in x). This tells you how fast things are changing. <br>
Take the first two points to compute the rate of change. <br>
Slope = (7-4) / (1-0) = 3/1 = 3
Question 5: A function is which of the following groupings?
- {(-7, 2), (-3, 4), (-1, 3), (0, 0)} (Correct answer)
- {(2, 0), (-2, 7), (-9, 3), (-2, 9)}
- {(1,3),(7,1),(8,10),(7,7) }
- {(0, 5), (0, 4), (0, 8), (0, 11)}
- {(1, 4), (3, -4), (7, 4), (1, -4)}
Correct answer: {(-7, 2), (-3, 4), (-1, 3), (0, 0)}
Correct answer: <br>
The x-values of functions do not repeat.
Question 6: Which of the following methods can be used to see if a data set is a function? There could be more than one solution.
- Make sure “y” values do not repeat
- Vertical line test (Correct answer)
- Make a table to determine the numbers in the domain appear only once. (Correct answer)
- Make sure there is one and only one input for each output (Correct answer)
- Make sure each x-value has more than one y-value
Correct answer: Vertical line test
Correct answer: <br>
If it's a function, the vertical line test permits the line to only touch the graph once, with one input (x) for each output (y) and domain values (x) that can only appear once.
Question 7: Which of the following figures represents the likelihood of an event occurring, and why?
- 0.95, because likely events have a probability close to 1. (Correct answer)
- 0.51, because any probability higher than 0.5 is likely to happen.
- 0.03, because likely events have a probability close to 0.
- 97.4, because likely events have a probability close to 100%.
Correct answer: 0.95, because likely events have a probability close to 1.
Correct answer: <br>
Because these probabilities aren't expressed in percentages, a value close to 1 equates to a high degree of certainty. A probability of one equals 100 percent likelihood. 0.95 is the same as 95% likelihood, which means it's quite likely.
Question 8: This summer, a group of buddies went on fishing outings. During their trip, they were required to spend a particular number of days and catch a certain amount of fish. Whose ratio of fish caught every day is comparable to Brian's, according to the table?
- Brody (Correct answer)
- Kevin
- York
- Justin
Correct answer: Brody
Correct answer: <br>
Brian's ratio is 3:21, which can be broken down to 1:7. Brody's ratio is 5:35, which can be broken down into 1:7. They're in proportion.
Question 9: The family of Jayson is planning to purchase a new television. A large deal is being advertised at an electronics store, with all televisions being discounted by 10% off their standard price. In addition, Jayson's father has a special voucher that entitles him to $200 off any item with a usual price of $1,000 or more. After the 10% discount, the $200 discount will be applied. Which of the following is NOT an accurate statement of the price that Leo's father will have to pay for a television that has a normal price of p dollars, assuming that the television Jayson's father is planning to buy has a regular price over $1,000?
- (p – 200)(0.90) (Correct answer)
- 0.90p – 200
- p(1 – 0.10) – 200
- (p – 200) – 0.10p
Correct answer: (p – 200)(0.90)
Correct answer: <br>
The issue with answer (p – 200)(0.90) is that the $200 discount is applied prior to the 10% discount. The 0.90 will be distributed between the price of the television and the $200 reduction, according to the mathematical calculation. As a result, the discount (because to the special coupon) is reduced to only 90% of $200.
