Free AASA 7th Grade Math Questions and Answers 1 — Questions and Answers
Question 1: Andy rode rides and played games at a carnival.<br> ‥ A ride cost $2 each.<br> ‥ Every game was $2.<br> ‥ Andy played games and rode three rides.<br> In order to convey how much money he spent at the carnival overall, in dollars, Andy wrote the term below.<br> 6 + 2 g<br> What other approach could Andy use to express the entire amount of money he spent at the carnival, expressed in dollars?
- 2(3 + g) (Correct answer)
- 4 × 3g
- 4(3 + g)
- 2 × 3g
Correct answer: 2(3 + g)
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?
- parents attending a town hall
- pupils within the cafeteria (Correct answer)
- teachers of physical education
- pupils watching a football game
Correct answer: pupils within the cafeteria
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.<br> 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?
- 5t + 15 ≤ 140 (Correct answer)
- 15t + 5 ≤ 140
- 5t + 15 ≥ 140
- 15t + 5 ≥ 140
Correct answer: 5t + 15 ≤ 140
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?<br> (1 teaspoon < 5 milliliters)
- 0.1 teaspoon
- 7 teaspoons
- 2 teaspoons (Correct answer)
- 20 teaspoons
Correct answer: 2 teaspoons
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.<br> <br> r – 0.2r<br> <br> What is the equivalent of the word r, which represents the regular price of a CD player, in the given context?
- 0.9r
- 1.2r
- 0.1r
- 0.81r (Correct answer)
Correct answer: 0.81r
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'.
Question 6: Of the following phrases, which one has a 1.25 value?
- -(-2.5)(-0.5)
- (2.5)(-0.5)
- -(2.5)(0.5)
- (-2.5)(-0.5) (Correct answer)
Correct answer: (-2.5)(-0.5)
To find the expression with a value of 1.25, we need to evaluate each option. Option D, (-2.5)(-0.5), involves multiplying two negative numbers. The product of two negative numbers is always a positive number. Multiplying 2.5 by 0.5 gives 1.25, so (-2.5)(-0.5) equals positive 1.25. All other options result in -1.25 due to the signs of the numbers being multiplied.
Question 7: What does the expression below mean?<br> | -7 | + | 40 |
- 47 (Correct answer)
- 33
- −47
- −33
Correct answer: 47
The expression | -7 | + | 40 | involves absolute values. The absolute value of a number is its distance from zero, always a non-negative value. So, | -7 | is 7, and | 40 | is 40. Adding these two absolute values together, 7 + 40, gives a sum of 47.
Question 8: What does the expression below mean?<br> | 12 | + | -15 |
- -$3
- -$27
- $27 (Correct answer)
- $3
Correct answer: $27
The expression | 12 | + | -15 | involves absolute values. The absolute value of 12 is 12, and the absolute value of -15 is 15. When these two absolute values are added together, 12 + 15, the sum is 27. Since the options include dollar signs, the final answer is $27.
Question 9: A coffee shop sells pastries, coffee, and tea. Sales of coffee accounted for ⅖ of the coffee shop's income last week, while sales of tea accounted for ⅓ of its profits.<br> Sales of pastries accounted for the remaining income.<br> What percentage of pastries sold last week contributed to the coffee shop's overall profits?
- 2/15
- 1/15
- 11/15
- 4/15 (Correct answer)
Correct answer: 4/15
The total income is represented by 1 (or 100%). Coffee sales account for 2/5 of the income, and tea sales account for 1/3. To find the fraction of income from pastries, subtract the sum of coffee and tea sales from the total. First, find a common denominator for 5 and 3, which is 15. So, 2/5 = 6/15 and 1/3 = 5/15. The combined fraction for coffee and tea is 6/15 + 5/15 = 11/15. Subtracting this from the total income (1 or 15/15) gives 15/15 - 11/15 = 4/15 for pastry sales.
Question 10: Of the following phrases, which one has a 1.25 value?
- -(2.5)(0.5)
- -(-2.5)(-0.5)
- (2.5)(-0.5)
- (-2.5)(-0.5) (Correct answer)
Correct answer: (-2.5)(-0.5)
To find the expression with a value of 1.25, we need to evaluate each option. Option D, (-2.5)(-0.5), involves multiplying two negative numbers. The product of two negative numbers is always a positive number. Multiplying 2.5 by 0.5 gives 1.25, so (-2.5)(-0.5) equals positive 1.25. All other options result in -1.25 due to the signs of the numbers being multiplied.
Question 11: Three lines that cross to create a triangle are seen in the diagram below.<br> What is the value of x based on the angle measurements in the diagram?
- 81
- 32 (Correct answer)
- 99
- 67
Correct answer: 32
Although the diagram is not provided, in a triangle, the sum of the interior angles is always 180 degrees. If 'x' represents an unknown angle within the triangle, its value can be determined by subtracting the sum of the other two known interior angles from 180 degrees. For example, if the other two angles were 60 and 88 degrees, then x = 180 - (60 + 88) = 180 - 148 = 32 degrees. This is a common way to solve for an unknown angle in a triangle.
Free AASA 7th Grade Math Questions and Answers 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?