6th Grade Progress Check

1. Match the value with the correct dot on the number line.

0.75

150%

1

1/3

Submit

2. Match the coordinates with the plotted points.

(7, 2)

(2 , 6)

(2 , 2)

(7 , 6)

(2 , 7)

Submit

3. Anna is running a race. Match the letters with the correct values that would complete the graph and table.

(2 , 4)

5

6

(5 , 10)

(10 , 5)

Submit

4. Solve the following equation for x: 3x = 24

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.

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.

Submit

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

25

5

1

14

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.

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.

Submit

7. 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

X+15

X-15

X/15

15(x)

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.

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.

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

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.

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.

Submit

9.

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

x-12

12/x

X + 12

12(x)

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.

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.

10.

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

X - 8

X/8

X+8

8(x)

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.

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.

11. 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?

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.

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.

Submit

12. 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

X + 6

X/6

X - 6

6(x)

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).

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).

13. 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?

320,000 cm3

4000 cm2

220 cm2

5300 cm3

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.

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.

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

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.

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.

Submit

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

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.

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.

Submit

16.

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?

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.

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.

Submit

17. What is the interquartile range of the box plot?

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.

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.

Submit

19. 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?

42

84

105

168

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.

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.

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

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.

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.

Submit

21. 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.

12x + 10y > 300

12x +10y < 300

12x + 10y ≤ 300

12x + 10y ≥300

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.

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.

Submit