Geometry Unit 1 & 2 Review

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Questions and Answers

How much paint is needed to cover Dalia's entire room if 3 cans cover 80%?

3 cans

5 cans

2 cans

4 cans (correct)

What is the expression to calculate the discount price after applying a 60% discount?

d = p - 0.6

d = 1.6p

d = 0.6p

d = 0.4p (correct)

What will be the cost of the Des-car next year if it currently costs $17,000 and is expected to increase by 2.9%?

$17,493 (correct)

$16,750

$18,000

$17,629

How many cans of paint does Dalia use for 60% of her room?

2.25 cans Signup and view all the answers

If the Des-truck costs $22,000, what will it cost in two years with a constant 2.9% increase?

$23,294.51 Signup and view all the answers

What is the correct formula to determine the circumference of a circle?

C = 2 * π * r Signup and view all the answers

How many gallons of gas are needed to mow the entire field if 1/8 of the field requires 1/2 gallon?

4 gallons Signup and view all the answers

If Na'ilah's rug costs $50 before tax, what is the total cost after applying a 10% sales tax and a 10% discount?

$49.50 Signup and view all the answers

What would be the approximate area of a circular pool with a radius of 6 feet?

36π square feet Signup and view all the answers

What is the percent error if a thermometer reads 20.8°C when the actual temperature is 20.0°C?

4% Signup and view all the answers

What is the distance traveled by a toy car around a circular track with a diameter of 10 meters?

31.4 meters Signup and view all the answers

Na'ilah's rug costs $50 with a 10% sales tax. How much does she pay in sales tax?

$5.00 Signup and view all the answers

How many boxes of tile does Brielle need to cover a circular pool with a 6-foot radius, if each box covers 25 square feet?

5 boxes Signup and view all the answers

Which of the following rectangles is not a scaled copy of rectangle A (2m by 8m)?

3m by 9m Signup and view all the answers

What is the scale factor from polygon EFGH to polygon ABCD if segment GH is three times as long as segment AB?

3 Signup and view all the answers

What is the area of a rectangular park that is scaled to be 8 inches wide and 11 inches long, where the actual park is 330 yards long?

79,200 square yards Signup and view all the answers

Which condition describes a proportional relationship in a graph?

The line is a straight line that passes through the origin. Signup and view all the answers

If the cost of strawberries is proportional, what would be the cost of 10 pounds if 1 pound costs $3.25?

$32.50 Signup and view all the answers

What equation represents the amount of time in minutes, t, that it takes Abdullah to walk d miles, given his constant speed?

t = 1/15d Signup and view all the answers

Which statement correctly describes the slope comparisons between two runners in a race?

A steeper line indicates a faster speed. Signup and view all the answers

Which of the following statements is true about the equation p = 2.22x relating mass in pounds to mass in kilograms?

The equation indicates a proportional relationship. Signup and view all the answers

Study Notes

Unit 1 Review Problems

Problem 1: Identify scaled copies of a rectangle. Multiple rectangles are shown with dimensions. Determine which rectangles are scaled copies of a reference rectangle A.
Problem 2: Polygon EFGH is a scaled copy of polygon ABCD. True statements include the scale factor from EFGH to ABCD is 3/1, and the length of segment BC is 2. Segment GH is three times as long as segment AB.
Problem 3: A scale drawing of a rectangular park is 8 inches wide and 11 inches long. The actual park is 330 yards long. Calculate the area of the actual park. The answer is 2,640 square yards.

Unit 2 Review Problems

Problem 1: Identify the graph that represents a proportional relationship. The correct graph is a straight line that starts at the origin (0,0).

Unit 2 (Additional Problems)

Problem 2: The graph shows the cost of strawberries. The cost is proportional. Identify true statements regarding the cost of different quantities of strawberries. Identify the true statements.
Problem 3: Abdullah walks to school at a constant speed. He walks 1 mile in 15 minutes. Identify the equation representing time (in minutes, t) as a function of distance (in miles, d). The equation is t = 15d.
Problem 4: Two runners' distances are represented by two lines. Identify which runner ran more slowly. This problem requires a comparison of the slopes of the lines representing distance vs time.

Unit 3 Review Problems

Problem 1: A circle has a radius of 40 centimeters. Which is closest to its circumference? The answer is approximately 251 centimeters.

Unit 3 (Additional Problems)

Problem 2: A circle has a radius of 6 units. Order three student answers for the area of the circle from least to most accurate.
Problem 3: Arjun measured the distance a wheel traveled in different numbers of rotations. Select true statements.
Problem 4: Identify whether a quantity describes a circle's circumference or area. These include the amount of glass in a circular window, tiles needed to go around a circular pool, etc.
Problem 5: Which measurement is always proportional to the diameter of a circle? The answer is Circumference.
Problem 6: A figure consists of part of a circle and a rectangle. Calculate the perimeter and area of the figure. The perimeter is 16+4π or 28.56. The area is ≈32+8π or 57.12 square units

Unit 4 Review Problems

Problem 1: A pencil is 120 millimeters long. A marker is 9% longer than the pencil. Calculate the length of the marker. The marker is 130.8 millimeters long.
Problem 2: Kayleen mows a field. After mowing 1/8 of the field, she used 1/2 of a gallon of gas. Select all true statements. The statements are related to the amount of gas used mowing different portions of the field.
Problem 3: The temperature in a room is 20.0°C. A thermometer measures the temperature as 20.8 °C. Find the percent error. The percent error is 4%.
Problem 4: Identify if the price of the rug after a discount and sales tax is more or less than a stated amount or if it equals that amount (e.g., $50.00). Provide an explanation.

Intermediate Review Problems

Problem 8: Determine if the relationship is proportional for height and running speed. Provide answers if available.
Problem 8.1: Find the distance around the outside edge of the concrete sidewalk around a fish pond of a specified diameter and sidewalk width.
Problem 8.2: Find the square meters of concrete needed to build a sidewalk around a fish pond.
Problem 7.1: Find the number of boxes of tile needed to cover the bottom of a circular pool.
Problem 7.2: Determine if the number of boxes of tile needed for Pool B is four times the number for Pool A, provide justification. (Using areas of the circles and the size of one box of tile)
Problem 6.1 & 6.2: Determine if there is a proportional relationship between the original price, and the discounted price of an item.
Problem 6.3: Calculate original price of a coat given the discounted price.
Problem 7.1: Calculate the expected cost of a new car considering a rate of increase.
Problem 7.2: Calculate an equation that relates current year's cost of a car to next year's cost.
Problem 7.3: Calculate the expected cost of another car considering a rate of increase in two years.
Problem (Unit 4): Helen is painting her room. After painting 20% of her room, Dalia has used 75% of a can of paint. Identify which of the provided statements is correct.

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Description

This quiz covers key concepts in geometry, focusing on scaled copies of shapes and proportional relationships. Problems involve identifying scaled copies of rectangles, scale factors of polygons, and area calculations based on scale drawings. Additionally, students will analyze graphs representing proportional relationships and their implications.