STAAR RELEASED MAY 2022

Benoît and Victoria are analyzing two different sets of data for their science project. The tables show the relationship between x and y for each of the data sets they are studying.

Which statements describe the relationship between x and y in each of the data sets?

• Both data sets show additive relationships. In Data Set I, y is 3 more than x, and in Data Set II, y is 4 more than x.

• Both data sets show multiplicative relationships. In Data Set I, y is 4 times x, and in Data Set II, y is 2 times x.

• Data Set I shows a multiplicative relationship in which y is 4 times x. Data Set II shows an additive relationship in which y is 4 more than x.

• Data Set I shows an additive relationship in which y is 12 more than x. Data Set II shows a multiplicative relationship in which y is 2 times x.

Answer explanation

Data Set I shows y as 4 times x, indicating a multiplicative relationship. Data Set II shows y as 4 more than x, indicating an additive relationship. Thus, the correct choice accurately describes both data sets.

Jean-Pierre and Victoria are sharing 12 apples and 6 oranges equally. How many fruits does each person get?

• F (12 + 6) ÷ 2

• G 12 + 6 ÷ 2

• H 12 ÷ 2 + 6

• J 12 ÷ (2 + 6)

Answer explanation

The expression \(\frac{12 + 6}{2}\) simplifies to \((12 + 6) \div 2\). Thus, choice F is equivalent, while the other options change the order of operations or the grouping, leading to different results.

Victoria earns $6.50 for each hour of work as a babysitter. How much will she earn for working 5.5 hours as a babysitter?

• $12.00

• $35.75

• $33.55

• $30.25

Answer explanation

Emiline earns $6.50 per hour. For 5.5 hours, she earns 6.50 * 5.5 = $35.75. Therefore, the correct answer is $35.75.

Victoria and Jean-Pierre are designing a garden with a trapezoidal flower bed. The bases of the trapezoid are 8 centimeters and 12 centimeters, and the height is h centimeters. Which equation can be used to represent A, the area of the trapezoid in square centimeters?

• H A = (8 + 12)h

Answer explanation

The area A of a trapezoid is calculated using the formula A = \frac{1}{2} (b_1 + b_2)h, where b_1 and b_2 are the lengths of the bases. Here, b_1 = 8 cm and b_2 = 12 cm, so the correct equation is A = \frac{1}{2} (8 + 12)h.

During a 90-minute school play, Victoria, the main character, was on stage 80% of the time. What amount of time in minutes was Victoria on stage?

• 88.9 minutes

• 112.5 minutes

• 80 minutes

• 72 minutes

Answer explanation

To find the time the main character was on stage, calculate 80% of 90 minutes: 0.8 * 90 = 72 minutes. Therefore, the correct answer is 72 minutes.

Victoria has 96 apples, and she wants to distribute them equally among her friends. If each friend receives 11/8 of an apple, which statement about the total number of apples distributed is true?

• The total number of apples distributed is less than 11/8.

• The total number of apples distributed is greater than 96.

• The total number of apples distributed is between 11/8 and 96.

• The total number of apples distributed is equal to 96.

Answer explanation

To find 96 multiplied by 11/8, calculate 96 * 1.375 = 132. The product (132) is greater than 96, confirming the correct choice.

Jean-Pierre and Victoria are planning a garden. They have marked out two sections on the ground: one in the shape of a right triangle and the other in the shape of an isosceles triangle. The shaded section represents the area where both sections overlap. Which coordinates represent the location of a point inside the shaded section?

• (−1.5, 4.5)

• (1.5, −4.5)

• (4.5, −1.5)

• (−4.5, 1.5)

Answer explanation

The point (−4.5, 1.5) lies within the boundaries of both the right triangle and the isosceles triangle, making it a valid point inside the shaded section. The other options fall outside the triangles.

Jean-Pierre and Victoria are measuring the wingspan of an adult bald eagle they spotted during their nature walk. They found that the wingspan can be 7 feet. What is this wingspan in inches?

• 84 inches

• 72 inches

• 96 inches

• 60 inches

Answer explanation

To convert feet to inches, multiply by 12. The wingspan of 7 feet is 7 x 12 = 84 inches. Therefore, the correct answer is 84 inches.

Victoria is selling handmade candles. For every candle she sells, she earns $3.50. Which graph best represents the relationship between the number of candles sold (x) and the total earnings (y)?

• A

• B

• C

• D

Answer explanation

The equation y = 3.5x represents a linear relationship with a slope of 3.5. Graph A shows a straight line passing through the origin with a steep positive slope, accurately reflecting this relationship.

At a company event, 153 of the 225 employees attended a meeting. Which statement shows values that are all equivalent to the fraction of employees who attended the meeting?

Answer explanation

The correct choice is F. It shows equivalent values for the fraction of employees who attended the meeting: \(\frac{153}{225} = \frac{17}{25} = 0.68 = 68\%\). Choices G, H, and J do not represent the same fraction.