Unit 3 2025 — Unit Plan

A recipe requires 2 cups of cheese for every 8 ounces of noodles.

Which table represents the ratio of cheese to noodles for this recipe?

A

B

C

D

Points W, X, Y, and Z are plotted on the coordinate plane shown below.

Which point is located at $(-2, 3)$?

A. point W
B. point X
C. point Y
D. point Z

Image Description: A standard 4-quadrant coordinate plane with x and y axes ranging from -6 to 6. Grid lines are spaced by 1 unit. Four points are plotted and labeled:

• Point W is located at coordinates (-2, 3).
• Point Z is located at coordinates (2, 3).
• Point X is located at coordinates (-2, -3).
• Point Y is located at coordinates (2, -3).

What is the value of the expression shown below when $c = 2$ and $h = 3$?

$$c^3 + 4h - 7$$

A. 11
B. 13
C. 42
D. 44

A carton contains $4\frac{1}{2}$ cups of ice cream. One full serving is $\frac{3}{4}$ cup. What is the total number of full servings of ice cream in the carton?

A. $3\frac{3}{4}$
B. $5\frac{1}{4}$
C. 6
D. 12

The net of a right rectangular prism is shown below.

What is the surface area, in square centimeters, of this prism?

A. 20
B. 34
C. 40
D. 48

Image Description: A net of a right rectangular prism made up of six rectangles. The central horizontal row consists of four identical rectangles side by side, each 5 cm tall and 2 cm wide (separated by dashed fold lines). A 2 cm × 2 cm square is attached to the bottom of the far-left rectangle. Another 2 cm × 2 cm square is attached to the top of the second-from-left rectangle. Labeled dimensions: 2 cm (width, at top) and 2 cm (height of the small square, at top right) and 5 cm (height of the main row, at right).

An office has two copiers. Copier A prints 350 pages in 7 minutes. Copier B prints 210 pages in 3 minutes. How many more pages can Copier B print in 1 minute than Copier A?

A. 20
B. 35
C. 50
D. 70

A regular hexagon is made of equilateral triangles, as shown below.

What is the area, in square centimeters, of the regular hexagon?

A. 10.75
B. 21.5
C. 34.3
D. 64.5

Image Description: A regular hexagon divided into 6 identical equilateral triangles meeting at the center point. Each triangle has its outer side (the side of the hexagon) labeled as 5 cm. One triangle also has a dashed line showing its height of 4.3 cm (the apothem of the hexagon), with a right-angle symbol where it meets the 5 cm base.

What is the value of the expression shown below?

$$\frac{(3^2 + 5 \cdot 3)}{2^3}$$

A. 3
B. $3\frac{1}{2}$
C. 4
D. $5\frac{1}{4}$

A teacher asks 50 sixth grade students to vote for their favorite hobby. The table below shows the results.

FAVORITE HOBBIES

What percent of the students voted for either playing a musical instrument or reading as their favorite hobby?

A. 12%
B. 23%
C. 46%
D. 54%

What is the coefficient in the expression $2x^3$?

A. 2
B. 3
C. $x$
D. $2x$

Which number is not a solution to the inequality shown below?

$$3w \ge 12$$

A. 3
B. 4
C. 5
D. 8

A school club includes students from four grade levels. The number of students from each grade level is shown in the list below.

• 12 students from Grade 5
• 6 students from Grade 6
• 2 students from Grade 7
• 8 students from Grade 8

What is the ratio of the total number of students in the club from Grades 5 and 6 to the total number of students in the club from Grades 7 and 8?

A. 2:1
B. 3:1
C. 5:9
D. 9:5

Which expression represents the phrase "the sum of fifteen and five less than twice a number, $n$"?

A. $15(5 - 2n)$
B. $15(2n - 5)$
C. $15 + (5 - 2n)$
D. $15 + (2n - 5)$

Tyrone deposits $65 into his bank account. The next day he withdraws $20. Which two integers represent the activity in Tyrone's bank account?

A. -65 and -20
B. -65 and 20
C. 65 and -20
D. 65 and 20

Mary rides her bike at an average speed of 12 miles in 1 hour. Riding at this rate, how many feet does Mary ride in 1 minute?

A. 1,056
B. 26,400
C. 63,360
D. 3,801,600

The two rules shown below are used to generate sets of ordered pairs. The starting point is $(1, 1)$. The ordered pairs are then graphed on a coordinate plane.

• Rule for x coordinate: Each value is 3 more than the one before it.
• Rule for y coordinate: Each value is 2 more than the one before it.

Which graph shows the set of ordered pairs?

A [Graph showing points (1,1), (4,4), (7,7), (10,10)]
B [Graph showing points (1,1), (3,3), (5,5), (7,7), (9,9)]
C [Graph showing points (1,1), (4,3), (7,5), (10,7)]
D [Graph showing points (1,1), (3,4), (5,7), (7,10)]

Image Description: Four coordinate plane options (A, B, C, D) are provided, each displaying the first quadrant with x and y axes ranging from 0 to 10.

• Graph A plots points that increase by 3 on x and 3 on y: (1,1), (4,4), (7,7), (10,10).
• Graph B plots points that increase by 2 on x and 2 on y: (1,1), (3,3), (5,5), (7,7), (9,9).
• Graph C plots points starting at (1,1). The next point is at x=4 (1+3) and y=3 (1+2). The subsequent point is at x=7 and y=5. The final point is at x=10 and y=7.
• Graph D plots points starting at (1,1). The next point is at x=3 and y=4. The subsequent point is at x=5 and y=7. The final point is at x=7 and y=10.

A gift box is in the shape of a right rectangular prism. The gift box is $5\frac{4}{5}$ centimeters long, $2\frac{1}{2}$ centimeters wide, and $7\frac{3}{5}$ centimeters high. What is the volume, in cubic centimeters, of the gift box?

A. $15\frac{9}{10}$
B. $70\frac{6}{25}$
C. $110\frac{1}{5}$
D. $155\frac{8}{50}$

Hannah buys oranges and apples from the grocery store. She pays $6.25 for 5 pounds of oranges and $6.90 for 6 pounds of apples.

Which statement about the fruit is true?

A. Apples have the greater unit price at $1.15.
B. Apples have the greater unit price at $1.25.
C. Oranges have the greater unit price at $1.15.
D. Oranges have the greater unit price at $1.25.

The figure below shows a parallelogram with part of it shaded.

What is the area, in square centimeters, of the part of the parallelogram that is shaded?

A. 3.6
B. 5.4
C. 4.32
D. 8.64

Image Description: A parallelogram with a horizontal base and slanted sides.

• The total height of the parallelogram is labeled as 3 cm.
• The top horizontal side is labeled 2.4 cm.
• A vertical dashed line drops from the top-left corner to the base, forming a right triangle on the left side.
• The base of this small white right triangle is labeled 1.2 cm.
• The rest of the parallelogram is shaded grey. This shaded region is a trapezoid with parallel vertical sides (the height 3cm is vertical distance, but the shape acts as a trapezoid if viewed sideways, or simply a parallelogram minus the triangle).
• Alternatively, the base of the white triangle is 1.2 cm. Since the top side is 2.4 cm, the total bottom base of the parallelogram is also 2.4 cm. The shaded region has a bottom base of (2.4 - 1.2) = 1.2 cm and a top base of 2.4 cm, with a height of 3 cm.

Mr. Kamski has 6 students in his class who play an instrument. These students represent 24% of the total number of students in his class.

What is the total number of students in his class?

Answer: _______ students

The solution set for an inequality is represented on the number line shown below.

Using the variable x, write an inequality that describes the solution set represented on the number line.

Answer: _______

Image Description: A number line ranging from 10 to 20 with tick marks for each integer. A closed (solid) circle is positioned at 15. A bold arrow extends from the closed circle at 15 to the right, indicating all numbers greater than or equal to 15.

What is the greatest common factor of 72 and 96?

Answer: _______

What is the value of the expression $4(3 + 5^2) - 6$?

Show your work.

Answer: _______

A restaurant buys cheese in large blocks. The table below shows the relationship between the number of blocks of cheese, b, that they buy, and the total amount paid, t, in dollars.

CHEESE PRICES

Based on the data in the table, write an equation to represent the total price, t, in terms of the number of blocks of cheese bought, b.

Be sure to identify the independent and dependent variables in your explanation.

Explain your answer.

The net of a right square pyramid is shown below.

What is the surface area, in square centimeters, of the pyramid?

Show your work.

Answer: _______ square centimeters

Image Description: A net of a square pyramid.

• There is a central square with a side length labeled as 5 cm.
• Attached to each of the four sides of the square are four identical triangles.
• The height of the top triangle (perpendicular distance from the base connected to the square to the tip) is labeled as 3.5 cm.

The top of a rectangular table has a width of $3\frac{1}{3}$ feet and an area of $21\frac{2}{3}$ square feet.

What is the length, in feet, of the top of the table?

Show your work.

Answer: _______ feet

Paige uses the coordinate plane shown below to represent the locations of the vegetable patches in her garden. Each unit on the coordinate plane represents 1 foot.

What is the shortest distance, in feet, from the cabbage patch to the broccoli patch?

Be sure to include the coordinates that represent the locations of both vegetable patches in your answer.

Explain how you determined your answer.

Image Description: A coordinate plane titled 'PAIGE'S GARDEN'.

• The x-axis ranges from -4 to 6.
• The y-axis ranges from -4 to 3.
• A point labeled 'Broccoli' is plotted at coordinates (-2, -3).
• A point labeled 'Cabbage' is plotted at coordinates (5, -3).
• Both points lie on the horizontal line y = -3.

A recipe requires a ratio of 2 cups of sesame seeds to 5 cups of pretzels. Using this ratio, how many cups of pretzels are needed when 3 cups of sesame seeds are used?

Show your work.

Answer: _______ cups of pretzels

The figure below shows the dimensions of a rug shaped like a rectangle.

The area of the rug is 54 square feet. Write and solve an equation to determine the value of x.

Be sure to use the unknown, x, in your equation.

Show your work.

Answer: $x =$ _______

A company buys 7 of these rugs for $784. Write and solve an equation to determine the price, p, of each rug.

Be sure to use the unknown, p, in your equation.

Show your work.

Answer: $_______

Image Description: A rectangle representing a rug.

• The bottom width is labeled as '9 feet'.
• The right-side height is labeled as '2x feet'.