Interactive multiple-choice quiz: اختبار الوحدة الرابعة الرياضيات ريفيل الصف الثامن الفصل الأول لعام 2026 - 2027
اختبار شامل على الوحدة الرابعة في مادة الرياضيات لطلاب الصف الثامن. يتناول الاختبار مفاهيم الميل، ومعدل الوحدة، والتغير الطردي، وكتابة المعادلات بصيغة الميل والمقطع. يساعد هذا الاختبار الطلاب على تقييم فهمهم للرسوم البيانية وتفسيرها رياضيًا.
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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
The graph shows the amount of book sales over several days. Find and interpret the slope. Then find the unit rate and compare it to the slope.
Explanation
The graph passes through (0,0) and (3,1000). The slope is 1000/3 $\approx$ 333.3. This represents the daily sales increase, which is also the unit rate.
Question 2
2
Points: 1
Nadia is comparing costs for two brands of garden compost. For Brand A, the cost y for x bags is shown in the table (3 bags cost 8.01, 5 bags cost13.35). For Brand B, the cost can be represented by the equation y = 1.99x, where x represents the number of bags. Which brand costs less for 6 bags of compost? How much less?
Explanation
Brand A unit cost is 8.01/3 = 2.67. For 6 bags:2.67 * 6 = 16.02. Brand B for 6 bags:1.99 * 6 = 11.94. Difference:16.02 - 11.94 =4.08. Brand B is cheaper.
Question 3
3
Points: 1
The graph shows the amount of money left after buying video games. Find the slope of the line.
Explanation
The line passes through (0, 120) and (6, 0). Slope = (0 - 120) / (6 - 0) = -120 / 6 = -20. This indicates a decrease of $20 per game.
Question 4
4
Points: 1
Find the slope of the line that passes through the pair of points: (-3, 2), (7, 2)
Explanation
Slope = (y2 - y1) / (x2 - x1) = (2 - 2) / (7 - (-3)) = 0 / 10 = 0. A horizontal line has a slope of 0.
Question 5
5
Points: 1
Name the slope triangles shown in the graph. What is the slope of the line?
Explanation
The slope triangles AHE, BID, and CGF each show a rise of 1 and a run of 2, resulting in a slope of 1/2.
Question 6
6
Points: 1
The cost y of movie tickets varies directly with the number of tickets x as shown in the graph. Write a direct variation equation to represent this relationship. Then identify the constant of variation and interpret its meaning.
Explanation
From the graph, 1 ticket costs 8, 2 cost16, etc. The ratio y/x is 8/1 = 8, which is the constant of variation k. The equation is y = 8x.
Question 7
7
Points: 1
The cost of paper varies directly with the number of reams bought. Suppose two reams cost $5.10. Write a direct variation equation to represent this relationship. Then identify the constant of variation and interpret its meaning.
Explanation
Constant k = y/x = 5.10 / 2 = 2.55. The equation is y = 2.55x, meaning each ream costs $2.55.
Question 8
8
Points: 1
Water pressure is measured in pounds per square inch (psi). The number of pounds per square inch y varies directly with the depth x of the water. Write and solve a direct variation equation to determine what the pressure is at a depth of 297 feet.
Explanation
From the table, k = y/x = 29/66. The equation is y = (29/66)x. At x = 297, y = (29/66) * 297 = 130.5 psi.
Question 9
9
Points: 1
The graph of a relationship passes through the points (2, 15.5) and (3, 27). Determine if this is a direct variation relationship. Explain why or why not.
Explanation
For a direct variation, the ratio y/x must be constant. Here, 15.5/2 = 7.75 while 27/3 = 9. Since the ratios are different, it is not a direct variation.
Question 10
10
Points: 1
Identify the slope for the equation: y = 3x - 1
Explanation
In the slope-intercept form y = mx + b, 'm' is the slope. In y = 3x - 1, the coefficient of x is 3.
Question 11
11
Points: 1
Write the equation of a line in slope-intercept from with the slope and y-intercept: slope= -1, y-intercept= -3
Explanation
Using y = mx + b with m = -1 and b = -3 gives y = -1x + (-3), or y = -x - 3.
Question 12
12
Points: 1
The table shows the costs for art show participants, including the $30 registration fee. Write an equation in slope-intercept form that represents the data in the table.
Explanation
At x = 0, y = 30 (y-intercept). The slope is (90 - 30) / (2 - 0) = 60 / 2 = 30. So the equation is y = 30x + 30.
Question 13
13
Points: 1
Graph the equation using the slope and y-intercept: $y = \frac{3}{5}x - 3$
Explanation
The y-intercept is -3 and the slope is 3/5. Graph A correctly passes through (0, -3) and has the correct positive rise over run.
Question 14
14
Points: 1
Select the statement that is true for graph.
Explanation
The graph shows a y-intercept at -7 and an x-intercept at -3. Slope = (0 - (-7)) / (-3 - 0) = 7 / -3 = -7/3. Thus, the equation is y = -7/3x - 7.
Question 15
15
Points: 1
A line with a negative slope and a negative y-intercept is graphed on a coordinate plane. Which quadrant will the line not pass through? Justify your response.
Explanation
In Quadrant I, both x and y are positive. With a negative slope (m < 0) and negative y-intercept (b < 0), if x is positive, the term mx is negative, so y = mx + b must also be negative. Thus, it cannot pass through Quadrant I.
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