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Mathematics

8th Grade

CCSS covered

Used 8+ times

Proportional Relationships Quiz
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

This graph shows a proportional relationship between the number of pages Sally reads and the time she takes in minutes. Which statement identifies the correct slope and the correct interpretation of the slope for this situation?

The slope of the line is 1/2, so Sally reads 0.5 of a page every minute.

The slope of the line is 1/2, so Sally reads 2 pages every minute.

The slope of the line is 2/1, so Sally reads 0.5 of a page every minute.

The slope of the line is 2/1, so Sally reads 2 pages every minute.

Answer explanation

The slope of 1/2 indicates that for every minute, Sally reads 0.5 pages. This means she reads half a page each minute, confirming the correct choice.

Tags

CCSS.8.EE.B.6

CCSS.8.EE.B.5

2.

DRAG AND DROP QUESTION

30 sec • 1 pt

Media Image

Line t has slope 3/4 and passes through (0, 0). Follow these steps:

Step 1: Start at (0, 0)

Step 2: Move right 8 units

From the location defined by completing Step 2, line t is (a)   units up.

6
4
8
10

Answer explanation

The slope of line t is 3/4. Moving right 8 units means we increase x by 8. The corresponding increase in y is (3/4) * 8 = 6. Thus, from (8, 0), line t is 6 units up.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.F.A.3

3.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Media Image

Enter the equation of the line in the form y =mx where m is the slope.

(a)  

Answer explanation

The equation of a line in the form y = mx indicates that m is the slope. The correct answer is y = 3x, where the slope m is 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Media Image

Enter the equation of the line in the form y =mx+b where m is the slope and b is the y-intercep

(a)  

Answer explanation

The equation y=3x-2 is in the form y=mx+b, where m (slope) is 3 and b (y-intercept) is -2. This matches the required format, confirming it as the correct answer.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.F.A.3

5.

DROPDOWN QUESTION

2 mins • 1 pt

Media Image

The table shows the proportional relationship between the numbers of hours (h) Paul has been hiking and the total distance (d) he covered, in kilometers. The equation which shows a distance per hour that is 2 times more than the distance Paul covered per hour is (a)   .

d = 2h
d = 3h
d = 6h
d = 8h

Answer explanation

To find the equation showing a distance per hour that is 2 times more than Paul's distance per hour, we need to double the coefficient of h. If Paul covers 4h, then 2 times that is 8h, making d = 8h the correct choice.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.F.A.3

CCSS.8.EE.B.5

6.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Media Image

Enter the equation of the line in the form y =mx+b where m is the slope and b is the y-intercept.

(a)  

Answer explanation

The equation y=3/2x-2 is in the form y=mx+b, where m (slope) is 3/2 and b (y-intercept) is -2. This matches the required format, confirming it as the correct answer.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.F.A.3

7.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Media Image

This graph shows the relationship between numbers of cookies (c) sold and profit earned (p). Write an equation that represents the number of cookies sold and profit earned?

(a)  

Answer explanation

The equation p=1/2c suggests that for every 2 cookies sold, the profit is 1 unit. However, the question asks for an equation that represents the relationship, and since no specific equation is provided, the correct answer is 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.F.A.3

CCSS.8.EE.B.5

CCSS.8.SP.A.2

CCSS.8.SP.A.3

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