Interactive multiple-choice quiz: الوحدة الرابعة ريفيل: Linear Relationships and Slope
This document contains an exercise focused on interpreting linear relationships from a graph. Students will analyze the slope of a line representing the conversion between feet and inches. The exercise requires calculating and explaining the meaning of the slope in a real-world context.
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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.
A graph relating feet x to inches y contains the points (1,12), (2,24), (3,36), and (4,48). Which statement correctly interprets its slope?
Question 2
1
Points: 1
The graph shows the relationship between feet and inches. Part A: Which of the following is the correct interpretation of the slope?
Explanation
The slope represents the rate of change of y (inches) with respect to x (feet). By taking the point (1, 12), the slope is $\frac{12}{1}$. This indicates that for every 1 foot, there are 12 inches.
Question 3
2
Points: 10
For the proportional relationship containing (1,12), (2,24), (3,36), and (4,48), find the unit rate and compare it with the slope.
Question 4
3
Points: 10
A honeybee beats its wings according to y=200x, where x is time in seconds and y is the number of wing beats. Which description represents the correct graph?
Question 5
4
Points: 10
For the honeybee relationship y=200x, which statement correctly interprets the slope?
Question 6
5
Points: 10
A manatee swims 10 miles every 2 hours, and distance is proportional to time. Which set of points lies on the correct graph?
Question 7
6
Points: 10
A manatee swims 10 miles every 2 hours. Find the slope of the distance-time relationship.
Question 8
7
Points: 10
A dog's heartbeats are modeled by y=1.5x. A cat's graph contains (1,2), (2,4), (3,6), and (4,8). Which animal has the faster heart rate?
Question 9
8
Points: 10
Annie's current earnings are 14.50 dollars for 2 hours, 21.75 dollars for 3 hours, 29.00 dollars for 4 hours, and 36.25 dollars for 5 hours. A new job pays 7.95 dollars per hour. Which job pays more per hour?
Question 10
9
Points: 10
Style A wristbands cost y=0.65x dollars. Style B costs 23.50 dollars for 50 wristbands and 70.50 dollars for 150 wristbands. Which style costs less for 100 wristbands, and by how much?
Question 11
10
Points: 10
Book sales follow a proportional line through (3,1000), (6,2000), and (9,3000). Find the slope and unit rate, and compare them.
Question 12
11
Points: 10
The cost y of renting a snowmobile for x hours is y=33.75x. Find and interpret the slope.
Question 13
12
Points: 10
By the end of week 4, a movie had grossed 9.2 million dollars. Assuming revenue is proportional to time, find the slope.
Question 14
13
Points: 10
Solar panel A produces power according to y=1020x. Solar panel B's graph contains (1,1200), (2,2400), and (3,3600). Which panel produces more power per square meter?
Question 15
14
Points: 10
Find the slope of the line through (-3,0), (0,2), and (3,4).
Question 16
15
Points: 10
Find the slope of the line through (0,4), (1,0), and (2,-4).
Question 17
16
Points: 10
The points (1,3), (-7,-1), (-15,-5), and (-23,-9) lie on a line. Find its slope.
Question 18
17
Points: 10
Find the slope of the line passing through A(-3,2) and B(5,-4).
Question 19
18
Points: 10
Find the slope of the line passing through A(-4,5) and B(2,5).
Question 20
19
Points: 10
Which value represents the slope of the line through L(-2,3) and M(-2,8)?
Question 21
20
Points: 10
Lisa's car travels 108 miles on 4 gallons, 216 miles on 8 gallons, 324 miles on 12 gallons, and 432 miles on 16 gallons. Greg's car travels 150 miles on 6 gallons and 300 miles on 12 gallons. Which car has better gas mileage?
Question 22
21
Points: 10
Snow depth increases from 0 feet at 0 hours to 0.5 foot at 2 hours and 2 feet at 8 hours. Find the slope.
Question 23
22
Points: 10
The money remaining decreases from 120 dollars at 0 games to 80 dollars at 2 games and 40 dollars at 4 games. Find the slope.
Question 24
23
Points: 10
The points (-1,3), (2,-1), (5,-5), and (8,-9) lie on a line. Find its slope.
Question 25
24
Points: 10
Find the slope of the line through M(3,5) and N(2,6).
Question 26
25
Points: 10
Find the slope of the line through G(-3,2) and H(7,2).
Question 27
26
Points: 10
Find the slope of the line through E(6,8) and F(6,-2).
Question 28
27
Points: 10
Two slope triangles are drawn on the same line. Segment FJ falls 4 units while running 2 units, and segment JK falls 2 units while running 1 unit. Compare their slopes.
Question 29
28
Points: 10
A skateboard ramp drops 2 vertical units for every 5 horizontal units. What is its slope?
Question 30
29
Points: 10
On a rising line, segment RT rises 2 units over a run of 4 units, while segment TV rises 1 unit over a run of 2 units. What is the slope of both segments?
Question 31
30
Points: 10
A zipline drops 2 vertical units for every 5 horizontal units. What is its slope?
Question 32
31
Points: 10
The time y in seconds required to hear thunder varies directly with the distance x in miles. The graph contains (1,5), (4,20), and (8,40). Which equation represents the relationship?
Question 33
32
Points: 10
For the thunder relationship containing (1,5), (4,20), and (8,40), identify and interpret the constant of variation.
Question 34
33
Points: 10
Olivia's earnings vary directly with the number of weeks worked. She earns 3000 dollars in 4 weeks. Which equation represents her earnings y after x weeks?
Question 35
34
Points: 10
Olivia earns 3000 dollars in 4 weeks in a direct variation. Identify and interpret the constant of variation.
Question 36
35
Points: 10
Madeline swims 1 lap in 45 seconds, 2 laps in 90 seconds, 3 laps in 135 seconds, and 4 laps in 180 seconds. Which direct variation equation gives time y for x laps?
Question 37
36
Points: 10
For Madeline's swimming relationship y=45x, identify and interpret the constant of variation.
Question 38
37
Points: 10
A charter bus travels 210 miles in $3\frac{1}{2}$ hours. Assuming direct variation, how far will it travel in 6 hours?
Question 39
38
Points: 10
The cost of movie tickets varies directly with the number of tickets. The graph contains (1,8), (4,32), and (7,56). Which equation and interpretation are correct?
Question 40
39
Points: 10
Distance varies directly with time. The graph contains (1,65), (4,260), and (7,455). Which equation and interpretation are correct?
Question 41
40
Points: 10
The cost of paper varies directly with the number of reams. Two reams cost 5.10 dollars. Which equation and interpretation are correct?
Question 42
41
Points: 10
The amount of flour varies directly with the number of servings. Three servings require $4\frac{1}{2}$ cups. Which equation and interpretation are correct?
Question 43
42
Points: 10
A bus travels 93.75 miles in 1.5 hours, 187.5 miles in 3 hours, and 375 miles in 6 hours. Which direct variation equation and interpretation are correct?
Question 44
43
Points: 10
Identify the slope and y-intercept of $y=\frac{2}{5}x-1$.
Question 45
44
Points: 10
Write the equation of a line with slope 5 and y-intercept -7 in slope-intercept form.
Question 46
45
Points: 10
A line crosses the y-axis at 2 and falls 3 units for every 1 unit moved to the \right. Write its equation in slope-intercept form.
Question 47
46
Points: 10
Faith starts with 30 dollars in savings and adds 15 dollars each week. Which equation represents her savings y after x weeks?
Question 48
47
Points: 10
A table contains (-1,6), (0,3), (1,0), and (2,-3). Write the equation in slope-intercept form.
Question 49
48
Points: 10
Fitness For Life charges according to y=10x+80. Fitness World charges y=8x+90. Which gym costs less for an 18-month membership, and by how much?
Question 50
49
Points: 10
Identify the slope and y-intercept of $y=\frac{1}{2}x-5$.
Question 51
50
Points: 10
Identify the slope and y-intercept of y=3x-1.
Question 52
51
Points: 10
Write a line with slope $\frac{1}{3}$ and y-intercept 4 in slope-intercept form.
Question 53
52
Points: 10
Write a line with slope $\frac{3}{2}$ and y-intercept -3 in slope-intercept form.
Question 54
53
Points: 10
Write a line with slope 4 and y-intercept -2 in slope-intercept form.
Question 55
54
Points: 10
Write a line with slope -1 and y-intercept 6 in slope-intercept form.
Question 56
55
Points: 10
A line crosses the y-axis at -3 and rises 2 units for every 1 unit moved to the \right. Write its equation.
Question 57
56
Points: 10
A family starts 420 miles from its destination and drives toward it at 65 miles per hour. Which equation represents the remaining distance y after x hours?
Question 58
57
Points: 10
An art show charges a 30-dollar registration fee. The table contains (0,30), (2,90), (4,150), (6,210), and (8,270), where x is the number of art pieces and y is the total cost. Which equation represents the data?
Question 59
58
Points: 10
Which description matches the graph of y=-4x+5?
Question 60
59
Points: 10
Which pair of points lies on the graph of y=4x+6?
Question 61
60
Points: 10
Which description matches the graph of y=-6?
Question 62
61
Points: 10
Which description matches the graph of x=7?
Question 63
62
Points: 10
Plant A grows according to $y=\frac{1}{2}x+1$, and Plant B grows according to $y=\frac{1}{4}x+2$. Which plant is taller after 12 days, and by how much?
Question 64
63
Points: 10
Which slope and y-intercept describe the graph of $y=\frac{3}{5}x-3$?
Question 65
64
Points: 10
Which slope and y-intercept describe the graph of $y=-\frac{2}{3}x-2$?
Question 66
65
Points: 10
Which slope and y-intercept describe the snowfall graph $y=\frac{1}{5}x+3.5$?
Question 67
66
Points: 10
Which pair of intercepts belongs to the graph of the gift-card equation y=-5x+50?
Question 68
67
Points: 10
Which description matches the graph of y=-3?
Question 69
68
Points: 10
Which description matches the graph of x=2?
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