6th Grade Progress Check

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| By Gundersonj

Gundersonj

Community Contributor

Quizzes Created: 1 | Total Attempts: 389

Questions: 22 | Attempts: 389 | Updated: Mar 21, 2023

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Complete the 6th grade progress check. Remember to use your scratch paper and do your best!

Questions and Answers

1.

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement: The product of a number and 6
- A.
  
  X + 6
- B.
  
  X/6
- C.
  
  X - 6
- D.
  
  6(x)
Correct Answer
D. 6(x)

Explanation
The correct expression to represent the statement "The product of a number and 6" is 6(x). This is because when we multiply a number by 6, we can represent it as 6 times that number, which is written as 6(x).

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2.
1. Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The sum of a number and 12
- A.
  
  x-12
- B.
  
  12/x
- C.
  
  X + 12
- D.
  
  12(x)
Correct Answer
C. X + 12

Explanation
The correct expression to represent the statement "The sum of a number and 12" is x + 12. This is because when we add a number (x) to 12, the result is the sum of the number and 12.

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3.
1. Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The difference of a number and 8
- A.
  
  X - 8
- B.
  
  X/8
- C.
  
  X+8
- D.
  
  8(x)
Correct Answer
A. X - 8

Explanation
The correct expression to represent the statement "The difference of a number and 8" is x - 8. This is because the word "difference" indicates subtraction, and we are subtracting 8 from the unknown number x.

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1
0
4.

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The quotient of a number and 15
- A.
  
  X+15
- B.
  
  X-15
- C.
  
  X/15
- D.
  
  15(x)
Correct Answer
C. X/15

Explanation
The correct expression to represent the statement "The quotient of a number and 15" is x/15. This is because the word "quotient" refers to the result of dividing one number by another, and in this case, the number is x and the divisor is 15. Therefore, x/15 represents the division of x by 15, which gives the quotient.

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5.

Select all of the following solutions make the inequality true: 2e > 26
- A.
  
  25
- B.
  
  5
- C.
  
  1
- D.
  
  14
Correct Answer(s)
A. 25
D. 14

Explanation
The solutions that make the inequality true are 25 and 14. When we substitute these values into the inequality, we get 2(25) > 26 which simplifies to 50 > 26, and 2(14) > 26 which simplifies to 28 > 26. Both of these statements are true, so 25 and 14 are valid solutions. The other options, 5 and 1, do not satisfy the inequality.

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6.

Maria is selling toys and flowers. The toys cost $12 and the flowers cost $10. She needs to make at least $300. Which inequality represents her situation.
- A.
  
  12x + 10y > 300
- B.
  
  12x +10y < 300
- C.
  
  12x + 10y ≤ 300
- D.
  
  12x + 10y ≥300
Correct Answer
D. 12x + 10y ≥300

Explanation
Maria needs to make at least $300. Since the toys cost $12 and the flowers cost $10, the total cost of the toys and flowers can be represented by the inequality 12x + 10y, where x represents the number of toys and y represents the number of flowers. The inequality 12x + 10y ≥ 300 indicates that the total cost of the toys and flowers should be greater than or equal to $300 in order for Maria to meet her goal.

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7.

On a rectangular wall, Terry paints a picture of a road. A picture of Terry’s painting is shown. All measurements are in feet (ft). What is the area of the triangle?
- A.
  
  42
- B.
  
  84
- C.
  
  105
- D.
  
  168
Correct Answer
B. 84

Explanation
The area of a triangle is calculated by multiplying the base by the height and dividing by 2. In the given picture, the base of the triangle is 14 feet and the height is 12 feet. Therefore, the area of the triangle is (14 * 12) / 2 = 84 square feet.

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8.

A water cooler shaped like a rectangular prism has a length of 80 centimeters, a width of 40 centimeters, and a height of 100 centimeters. What volume of water is needed to fill the water cooler?
- A.
  
  320,000 cm³
- B.
  
  4000 cm²
- C.
  
  220 cm²
- D.
  
  5300 cm³
Correct Answer
A. 320,000 cm³

Explanation
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the length is 80 centimeters, the width is 40 centimeters, and the height is 100 centimeters. By multiplying these values together, we get a volume of 320,000 cm3. This is the amount of water needed to fill the water cooler.

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9.

Find the surface area of the rectangular prism using the net of the shape.

Correct Answer
72
10.

The dot plot shows the number of shoes each person has. What is the mean? Round your answer to the nearest tenth.

Correct Answer
3.6

Explanation
The mean is the average of a set of numbers. In this case, the dot plot shows the number of shoes each person has, and the mean is calculated by adding up all the numbers and dividing by the total number of people. Since the answer given is 3.6, it means that when you add up the number of shoes each person has and divide by the total number of people, the average comes out to be 3.6.

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4
11.

The dot plot shows the number of shoes each person has. What is the median?

Correct Answer
4

Explanation
The median is the middle value in a set of data when the data is arranged in order. In this case, the dot plot shows that there are an equal number of people with 3 shoes and 5 shoes, with one person having 4 shoes. Since 4 is the middle value, it is the median.

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4
12.

The dot plot shows the number of shoes each person has. What is the range?

Correct Answer
5

Explanation
The range in this dot plot represents the difference between the highest and lowest values in the data set. By observing the dot plot, we can see that the highest number of shoes is 5 and the lowest number is 0. Therefore, the range is 5.

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4
13.

Solve the following equation for x: 3x = 24

Correct Answer
8

Explanation
To solve the equation 3x = 24, we need to isolate the variable x. In this case, we can divide both sides of the equation by 3 to cancel out the coefficient of x. This gives us x = 24/3, which simplifies to x = 8. Therefore, the correct answer is 8.

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4
14.

There are 17 occupied seats on the bus, 11 seats are empty. What is the ratio of the number of occupied seats to empty seats?

Correct Answer
17:11, 17 to 11, 17/11

Explanation
The ratio of the number of occupied seats to empty seats on the bus is 17:11, or 17 to 11, or 17/11. This means that for every 17 occupied seats, there are 11 empty seats.

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4
15.

Farmer Janet can plant 9 feet of carrots in 15 minutes. How many carrots can she plant in 1 hour? Use the table as a tool on your scratch paper to help you answer the question.

Correct Answer
36, 36 cph, 36 carrots, 36 carrots per hour, 36 carots
16.

What is 12% of 20? Use the table and your scratch paper to guide your thinking?

Correct Answer
2.4

Explanation
To find 12% of 20, we can multiply 20 by 0.12. This is because 12% is equivalent to 0.12 as a decimal. When we multiply 20 by 0.12, we get 2.4. Therefore, 2.4 is 12% of 20.

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4
17.

What is the interquartile range of the box plot?

Correct Answer
5

Explanation
The interquartile range of a box plot represents the range of the middle 50% of the data. It is calculated by finding the difference between the upper quartile (Q3) and the lower quartile (Q1). In this case, the interquartile range is 5, which means that the middle 50% of the data falls within a range of 5 units.

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4
18.
1. Amy earns $12.50 per hour at her work. She uses the equation shown to calculate the number of hours, h, she worked last week.
12.5h = 312.5 How many hours did Amy work last week?
Correct Answer
25, 25 hours

Explanation
Amy earns $12.50 per hour and she earned a total of $312.50 last week. To find the number of hours she worked, we need to solve the equation 12.5h = 312.5. Dividing both sides of the equation by 12.5, we get h = 25. Therefore, Amy worked 25 hours last week.

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4
19.

What is your first and last name?

Correct Answer
Student should enter their first and last name

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Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Oct 02, 2019

Quiz Created by
Gundersonj

6th Grade Progress Check

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement: The product of a number and 6

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The sum of a number and 12

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The difference of a number and 8

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The quotient of a number and 15

Select all of the following solutions make the inequality true: 2e > 26

Maria is selling toys and flowers. The toys cost $12 and the flowers cost $10. She needs to make at least $300. Which inequality represents her situation.

On a rectangular wall, Terry paints a picture of a road. A picture of Terry’s painting is shown. All measurements are in feet (ft). What is the area of the triangle?

A water cooler shaped like a rectangular prism has a length of 80 centimeters, a width of 40 centimeters, and a height of 100 centimeters. What volume of water is needed to fill the water cooler?

Find the surface area of the rectangular prism using the net of the shape.

The dot plot shows the number of shoes each person has. What is the mean? Round your answer to the nearest tenth.

The dot plot shows the number of shoes each person has. What is the median?

The dot plot shows the number of shoes each person has. What is the range?

Solve the following equation for x: 3x = 24

There are 17 occupied seats on the bus, 11 seats are empty. What is the ratio of the number of occupied seats to empty seats?

Farmer Janet can plant 9 feet of carrots in 15 minutes. How many carrots can she plant in 1 hour? Use the table as a tool on your scratch paper to help you answer the question.

What is 12% of 20? Use the table and your scratch paper to guide your thinking?

What is the interquartile range of the box plot?

Amy earns $12.50 per hour at her work. She uses the equation shown to calculate the number of hours, h, she worked last week.

12.5h = 312.5 How many hours did Amy work last week?

What is your first and last name?

6th Grade Progress Check

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement: The product of a number and 6

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The sum of a number and 12

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The difference of a number and 8

Using x as a variable to represent the unknown number, choose the correct expression to represent the statement. The quotient of a number and 15

Select all of the following solutions make the inequality true: 2e > 26

Maria is selling toys and flowers. The toys cost $12 and the flowers cost $10. She needs to make at least $300. Which inequality represents her situation.

On a rectangular wall, Terry paints a picture of a road. A picture of Terry’s painting is shown. All measurements are in feet (ft). What is the area of the triangle?

A water cooler shaped like a rectangular prism has a length of 80 centimeters, a width of 40 centimeters, and a height of 100 centimeters. What volume of water is needed to fill the water cooler?

Find the surface area of the rectangular prism using the net of the shape.

The dot plot shows the number of shoes each person has. What is the mean? Round your answer to the nearest tenth.

The dot plot shows the number of shoes each person has. What is the median?

The dot plot shows the number of shoes each person has. What is the range?

Solve the following equation for x: 3x = 24

There are 17 occupied seats on the bus, 11 seats are empty. What is the ratio of the number of occupied seats to empty seats?

Farmer Janet can plant 9 feet of carrots in 15 minutes. How many carrots can she plant in 1 hour? Use the table as a tool on your scratch paper to help you answer the question.

What is 12% of 20? Use the table and your scratch paper to guide your thinking?

What is the interquartile range of the box plot?

Amy earns $12.50 per hour at her work. She uses the equation shown to calculate the number of hours, h, she worked last week. 12.5h = 312.5 How many hours did Amy work last week?

What is your first and last name?

Amy earns $12.50 per hour at her work. She uses the equation shown to calculate the number of hours, h, she worked last week.

12.5h = 312.5 How many hours did Amy work last week?