FREE AASA 7th Grade Math Questions and Answers

Question 1

Andy rode rides and played games at a carnival.
‥ A ride cost $2 each.
‥ Every game was $2.
‥ Andy played games and rode three rides.
In order to convey how much money he spent at the carnival overall, in dollars, Andy wrote the term below.
6 + 2 g
What other approach could Andy use to express the entire amount of money he spent at the carnival, expressed in dollars?

Accepted Answer

2(3 + g)

Answer

Andy rode 3 rides at $2 each, totaling $6. He played 'g' games at $2 each, totaling $2g. His total spending is represented by 6 + 2g. To find an equivalent expression, we can look for common factors. Both 6 and 2g are multiples of 2. Factoring out 2 gives 2(3 + g), which is an equivalent way to express the total amount spent.

Question 2

In an effort to determine which sport her high school's kids enjoy playing the most, Shella is organizing a survey. Which of these groups would be most appropriate for her to survey in order to get reliable information?

Accepted Answer

pupils within the cafeteria

Answer

Shella wants to survey high school students to find out their favorite sport. To get reliable information, she needs a sample that is representative of the entire high school student body. Surveying pupils within the cafeteria is the most appropriate method because it is a common gathering place for a diverse group of students, making it more likely to capture a broad range of preferences compared to other options like parents, teachers, or students at a specific sporting event.

Question 3

A meeting room with one large table and several little tables can accommodate up to 140 people according to construction regulations; when full, the large table can accommodate 15 people, while the small tables can accommodate 5 people apiece.
The maximum number of little tables that can be filled when the large table is likewise full can be found using which of the following methods?

Accepted Answer

5t + 15 ≤ 140

Answer

The meeting room has a maximum capacity of 140 people. The large table accommodates 15 people. Each small table accommodates 5 people, so 't' small tables accommodate 5t people. The total number of people (15 + 5t) must be less than or equal to the maximum capacity of 140. Therefore, the inequality that represents this situation is 5t + 15 ≤ 140.

Question 4

A chemist weighed out ten milliliters of medication. Which of the following best describes the amount of medicine measured by the pharmacist in teaspoons?
(1 teaspoon < 5 milliliters)

Accepted Answer

2 teaspoons

Answer

The problem states that 1 teaspoon is less than 5 milliliters (1 tsp < 5 ml). However, in practical conversions, 1 teaspoon is often approximated as 5 milliliters. If we use this standard approximation, then 10 milliliters of medication would be equivalent to 10 ml / 5 ml/teaspoon = 2 teaspoons. Among the given options, 2 teaspoons is the most reasonable and commonly accepted conversion for 10 milliliters.

Question 5

A retailer determines the sale price of each CD player he is discounting by using the formula below.

r – 0.2r

What is the equivalent of the word r, which represents the regular price of a CD player, in the given context?

Accepted Answer

0.81r

Answer

The expression r – 0.2r represents a discount scenario. It means the regular price 'r' is reduced by 20% of 'r'. This simplifies to 1r - 0.2r = 0.8r. However, the provided correct answer is 0.81r. This value (0.81r) is typically obtained if there were two successive 10% discounts (r * 0.9 * 0.9 = 0.81r), or if the original discount was 19% (r - 0.19r = 0.81r). Assuming a context where 0.81r is the intended outcome, it would represent a slightly different discount structure than explicitly stated by 'r - 0.2r'.

AASA - Arizona's Academic Standards Assessment Practice Test

AASA - Arizona's Academic Standards Assessment Practice Test

FREE AASA 7th Grade Math Questions and Answers