Alg 2 EOC Review

A ball takes 5.2 seconds to roll from the top of a ramp to the bottom. The ball's initial speed is 0 m/s, and its speed at the bottom of the ramp is 1.4 m/s. Which axes shows the most appropriate units and scale to graph the ball's speed as a function of time?

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The volume 𝑉 of a cylinder with length ℎ and radius 𝑟 is given by 𝑉 = 𝜋𝑟²ℎ.

An unsharpened pencil has a length of 17.5 centimeters and a radius of 5 millimeters. Which value is closest to the volume of the pencil, in cubic centimeters?

• 1.374

• 13.74

• 137.4

• 1374

Samuel measured the height and radius of a cylindrical container to the nearest tenth of a meter. The measurements are given.

• The height is 5.1 meters.

• The radius of the base is 1.8 meters.

What could be the measure, in cubic meters, Samuel uses for the volume of the container?

• 5π

• 15.47π

• 18.77π

• 20π

The prices of items at two different supermarkets are shown. Toilet paper at Store A costs $4.99 and at Store B costs $6.99. Toothpaste at Store A costs $2.99 and at Store B costs $3.25. The data for this can be represented by the matrix G.

Which statement is true about the matrix?

• The second column represents the price of toothpaste at both supermarkets.

• The first row represents the price of toilet paper at both supermarkets.

• The second row represents the cost of toothpaste at Store A.

• The first column represents the items at Store B.

The coordinates of a triangle’s vertices are given in the matrix 𝑇.

The matrix 2𝑇 represents the coordinates of the triangle’s vertices after a transformation. Which matrix is 2𝑇?

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Lisa, Jenny, and Kyra kept track of the number of miles they ran on Saturday and Sunday. Their data are represented by the matrices 𝑀 and 𝑁.

Which matrix represents 𝑀 + 𝑁, the total number of miles each person ran?

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Two roads will be built. The given matrices represent the length of each road that is paved and unpaved, and the cost to build each mile of paved and unpaved road.

The product of these matrices represents the total cost of each road in thousands of dollars.

What is the product of these matrices?

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Susana and Arturo bought cookies at a bakery. The bakery offered 2 pre-filled boxes. In matrix P, Row 1 represents Box 1 and Row 2 represents Box 2. Column 1 represents Susana’s purchase and Column 2 represents Arturo’s purchase.

What is the product CP?

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A TV station executive is planning the new lineup for next season’s shows. On Monday nights, there will be 3 sitcoms and 2 dramas, for a total of 155 minutes of programming, not counting commercials. On Tuesday nights, she has scheduled 1 sitcom, for a total of 25 minutes of non-commercial programming. All sitcoms have the same length, and all dramas have the same length. How long is each type of show?

• Sitcoms are 25 minutes long, and dramas are 40 minutes long.

• Sitcoms are 40 minutes long, and dramas are 25 minutes long.

• Sitcoms are 25 minutes long, and dramas are 80 minutes long.

• Sitcoms are 80 minutes long, and dramas are 25 minutes long.

The equation 𝐴 = 1,750(1 + 0.04)^t represents the account balance t years after an account was created.

Which statement describes the account balance over time?

• The account balance will decrease 0.04% each year.

• The account balance will increase 0.04% each year.

• The account balance will decrease 4% each year.

• The account balance will increase 4% each year.