ACP Review

• A. 15

• B.23

• C. 24

• D.32

• A

• B

• C

• D

Which of the following ordered pairs, if added to the table, would make it not a function?

• (2,1)

• (12,5)

• (10,5)

• (3,4)

Answer explanation

Remember, the x values can only have one y-value. If we have the ordered pair (10,1) already in the table, adding the ordered pair (10,5) would make it no longer a function because 10 would be with 5 & 1.

Triangle ABC is a right triangle. What is the radius of the circle?

• A. 4

• B. 10

• C. 14

• D. 28

Answer explanation

You have to use the Pythagorean Theorem to find the diameter. Once you have the diameter, you divide by 2 to find the radius.

The perimeters of the rectangles shown are equal. What is the perimeter of each rectangle?

• 3.2

• 0.5

• 0.55

• 1.6

Answer explanation

You have to set the equations used to find the perimeter (4n+1.2=6n+.2) equal to each other to solve for the value of n. Once you have solved for n (0.5) , you need to substitute your answer back into the equations to solve for the perimeter.

Which situation best represents the equation 10.25h + 6.50 = 11.50h + 4?

• Ricardo is growing two different species of bamboo plant. Species A has a starting height of 10.25 inches and grows at a rate of 6.50 inches per week. Species B has a starting height of 11.50 inches and grows at a rate of 4 inches per week. How many weeks, h, do the plants need to grow in order to have the same height?

• Esmeralda must choose between two job offers. Job offer A pays a flat amount of $6.50 plus an additional $10.25 per hour. Job offer B pays a flat amount of $4.00 plus an additional $11.50 per hour How many hours, h, does Esmeralda need to work in order to earn the same amount of money in either job?

• Two containers are being filled with water. The water level in container A begins at a height of 10.25 feet and rises at a rate of 6.50 feet per hour. The water level in container B begins at a height of 11.50 feet and rises at a rate of 4 feet per hour. What is h, the height at which the water levels will be the same?

• Two students are having a bicycle race. Student A began with 6.50 miles of distance already travelled, and is moving at a rate of 11.50 miles per hour. Student B began with 4 miles of distance already travelled, and is moving at a rate of 10.25 miles per hour. How many hours, h, will each student need in order to travel the same total distance?

Answer explanation

The keywords "flat amount help us identify the constants in both scenarios. Per was a keyword indicating slope.

Using your Desmos calculator, solve for the value of m.

• 27.5

• -55

• 33

• 176

Flynn is ordering t-shirts for all 8th graders at his school. T-shirts R-Us charges $6.25 per shirt with a one-time embroidery fee of $19. T-shirts Galore charges $4.75 per shirt with a one-time embroidery fee of $43. Which inequality can be used to find x, the minimum number of shirts that can be ordered so that the total charge at T-shirts R-Us is less than the total charge at T-shirts Galore?

• 6.25 + 19x < 4.75 + 43x

• 6.25x + 19 < 4.75 + 43x

• 6.25 + 19x < 4.75x + 43

• 6.25x + 19 < 4.75x + 43

Answer explanation

Per is the keyword that helps us identify the coefficient or slope. The one-time embroidery fee would be the constant, or y-intercept value.

A container for posters is shaped like a cylinder. Its dimensions are shown in the diagram. Which measurement is closest to the total surface area of the container in square inches?

• 494.80 in^2

• 228.16 in^2

• 182.80 in^2

• 66.50 in^2

Answer explanation

When given the diameter, you must divide by 2 to find the radius (1.75). Then substitute into the formula 2pirh+2pir^2.

According to the National Collegiate Athletic Association men's rules, a tennis ball must have a diameter or more than 2 1/2 inches and less than 2 5/8 inches. What is the volume of a sphere with a diameter of 2 1/2 inches?

• A. 125/6 pi

• B. 25/4 pi

• C. 125/48 pi

• D. 25/3 pi

Answer explanation

When given the diameter, you must divide it by 2 to find the radius (1.25). You then substitute it into the formula 4/3pir^3.