الاختبارات الإلكترونية >> الصف التاسع المتقدم >> رياضيات >> الفصل الأول >> تمثيل الدوال الخطية بيانياً - ريفيل

Interactive multiple-choice quiz: تمثيل الدوال الخطية بيانياً - ريفيل

يتناول هذا التدريب مهارة تمثيل المعادلات الخطية بيانياً من خلال إكمال جداول القيم.
يطلب السؤال من الطالب تعويض قيمة معينة للمتغير المستقل $x$ في المعادلة $y = 2x + 5$ لإيجاد القيمة المقابلة للمتغير التابع $y$.
يساعد هذا التمرين في الربط بين التمثيل الجبري والتمثيل البياني للدوال.

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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.

ابدأ السباق ✨

رقم الاختبار 2206

الصف الصف التاسع المتقدم

المادة رياضيات

الفصل الفصل الأول

السنة الدراسية 2026/2027

عدد الأسئلة 83

إجمالي النقاط 821

تاريخ الإضافة 2026-08-30

الزيارات 252

المعلم Aghead

الناشر Amal Salman

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.

Next Quiz: Creating Linear Equations ريفيل

Question 1

Points: 1

Graph y = 2x + 5 by using a table. Copy and complete the table. What is the missing value of y when x = -1?

Question 2

Points: 10

Graph y = (3/5)x - 2 by making a table. What is the value of y when x = 5?

Question 3

Points: 10

Graph y = 5 by making a table. What is the value of y when x = -1?

Question 4

Points: 10

Which description represents the graph of the vertical line x = 6?

Question 5

Points: 10

Graph 4y = -12x + 36 using the x- and y-intercepts. What are the intercepts?

Question 6

Points: 10

PEANUTS: A farm produces about 4362 pounds of peanuts per acre. One cup of peanut butter requires about 2/3 pound of peanuts. If one acre is harvested to make peanut butter, y = -(2/3)x + 4362 represents the pounds of peanuts remaining after x cups are made. Find the x- and y-intercepts.

Question 7

Points: 10

Which of the graphs A-D uses the x- and y-intercepts to correctly graph y = -(2/3)x + 4362?

Question 8

Points: 10

Graph 1.25x + 7.5 = y. What are the x- and y-intercepts?

Question 9

Points: 10

Graph 2x - 3 = 4y + 6. What are the x- and y-intercepts?

Question 10

Points: 10

Graph 3y - 7 = 4x + 1. What are the x- and y-intercepts?

Question 11

Points: 10

Find the rate of change of cost with respect to the amount of gasoline purchased, in dollars per gallon.
Gasoline (gallons)Cost (dollars)4.7515.77619.927.2524.078.528.22

Question 12

Points: 10

TICKETS: The graph shows the average ticket prices for the Miami Dolphins football team. Find the rate of change in ticket prices between 2009 and 2010, in dollars per year.

Question 13

Points: 10

TICKETS: Using the Miami Dolphins average ticket price graph, between which two consecutive years is the rate of change greatest (the largest increase, not the largest absolute change)?

Question 14

Points: 10

TICKETS: Using the Miami Dolphins average ticket price graph, which of these intervals has a negative rate of change?

Question 15

Points: 10

Determine whether the function represented by the table is linear. If it is, state the rate of change.
xy11-58-35-121-13

Question 16

Points: 10

Copy and complete the table so that the function is linear. What are the missing values for the table?

Question 17

Points: 10

Determine the slope of a line through (-1, 8) and (7, 10). Write your answer as a decimal if necessary.

Question 18

Points: 10

Determine the slope of a line through (5, -4) and (0, 1).

Question 19

Points: 10

Find the slope of a line through (-2, -5) and (4, -5).

Question 20

Points: 10

Find the slope of a line through (-3, 4) and (-3, -2). If the slope is undefined, choose Undefined.

Question 21

Points: 10

Find r so that the line through (-3, r) and (7, -6) has a slope of 2 2/5 (that is, 12/5).

Question 22

Points: 10

OCEANS: What is the slope of the continental slope at Cape Hatteras, given the points (75, -65) and (125, -2700)?

Question 23

Points: 10

Find the rate of change of the function using two points from the table.
xy52103154205

Question 24

Points: 10

Find the rate of change of the function using two points from the table.
xy11529334-3

Question 25

Points: 10

Find the slope of the line through (4, 3) and (-1, 6).

Question 26

Points: 10

Write an equation for the line with slope -5 and y-intercept 12.

Question 27

Points: 10

What is the slope-intercept form of -16x - 4y = -56?

Question 28

Points: 10

SOCIAL MEDIA: In the first quarter of 2012, a social media site had 183 million users in North America. The number increased by an average of 9 million per year after 2012. Write an equation for y, the number of users in millions, x years after 2012.

Question 29

Points: 10

A linear function has slope -2 and y-intercept 7. Which equation represents this function?

Question 30

Points: 10

Graph the linear function 12x - 3y = 18. Which equation is its slope-intercept form?

Question 31

Points: 10

Graph y = 1. Which description best represents its graph?

Question 32

Points: 10

Write an equation in slope-intercept form for a line with slope 5 and y-intercept -3.

Question 33

Points: 10

Write an equation in slope-intercept form for a line with slope -2 and y-intercept 7.

Question 34

Points: 10

Write -10x + 2y = 12 in slope-intercept form.

Question 35

Points: 10

Write 4y + 12x = 16 in slope-intercept form.

Question 36

Points: 10

For the parent function f(x) = x, use the displayed form g(x) = f(x) - 1 = x - 1. The change to the output translates the graph 1 unit in which direction?

Question 37

Points: 10

For the parent function f(x) = x, use the displayed form g(x) = f(x + 12). The change to the input translates the graph 12 units in which direction?

Question 38

Points: 10

Describe the translation shown in g(x) = f(x - 6) + 3 = (x - 6) + 3 relative to f(x) = x.

Question 39

Points: 10

RETAIL: Jerome is buying paint for a mural. The total cost is modeled by f(p) = 6.99p. He has a coupon for $5.95 off his purchase, so the final cost is g(p) = 6.99p - 5.95. Describe the translation from f(p) to g(p).

Question 40

Points: 10

Describe g(x) = 6f(x) = 6x relative to the parent function f(x) = x. The graph is a _____, and it is _____ than the parent graph.

Question 41

Points: 10

For f(x) = x, classify the transformation of the input in g(x) = f(x/4). Use this displayed form, not an equivalent output transformation.

Question 42

Points: 10

Which statement correctly specifies the placement of a factor of -1 for the standard reflection of a parent function f across the x-axis, rather than the reflection produced by changing its input?

Question 43

Points: 10

For the parent function f(x) = x, interpret g(x) = f(-10x) as a transformation of the input. Its graph is compressed horizontally and reflected across the _____.

Question 44

Points: 10

For f(x) = x, describe the output translation in g(x) = f(x) + 11 = x + 11.

Question 45

Points: 10

For f(x) = x, describe the output translation in g(x) = f(x) - 8 = x - 8.

Question 46

Points: 10

For f(x) = x, describe the input translation in g(x) = f(x - 7).

Question 47

Points: 10

Determine whether 82, 73, 64, 55, ... is an arithmetic sequence and justify your answer.

Question 48

Points: 10

Determine the next three terms in 31, 18, 5, ...

Question 49

Points: 10

Randi is training for a marathon at a constant pace. Her recorded times are 10 minutes 30 seconds at 1 mile, 21 minutes at 2 miles, 31 minutes 30 seconds at 3 miles, and 42 minutes at 4 miles. Write a function f(n) for her time in minutes after n miles.

Question 50

Points: 10

Randi runs at a constant pace of 10 minutes 30 seconds per mile. How long will it take her to run a 26.2-mile marathon? Round to the nearest thousandth if necessary.

Question 51

Points: 10

Determine whether -3, 1, 5, 9, ... is an arithmetic sequence and justify your answer.

Question 52

Points: 10

Determine whether 1/2, 3/4, 5/8, 7/16, ... is an arithmetic sequence and justify your answer.

Question 53

Points: 10

Determine whether -10, -7, -4, -1, ... is an arithmetic sequence and justify your answer.

Question 54

Points: 10

Determine whether -12.3, -9.7, -7.1, -4.5, ... is an arithmetic sequence and justify your answer.

Question 55

Points: 10

For 0.02, 1.08, 2.14, 3.2, ..., find the common difference and the next three terms.

Question 56

Points: 10

For 6, 12, 18, 24, ..., find the common difference and the next three terms.

Question 57

Points: 10

For 21, 19, 17, 15, ..., find the common difference and the next three terms.

Question 58

Points: 10

For -1/2, 0, 1/2, 1, ..., find the common difference and the next three terms.

Question 59

Points: 10

Which description correctly represents the graph of this piecewise function?
f(x) = -x + 1 for x ≤ -2;
f(x) = -3x - 2 for x > -2.

Question 60

Points: 10

Find the domain and range of this piecewise function.
f(x) = -x + 1 for x ≤ -2;
f(x) = -3x - 2 for x > -2.

Question 61

Points: 10

For the greatest integer function f(x) = floor(x - 2), complete the table. Here floor(t) means the greatest integer less than or equal to t. Which choice gives all 11 values of f(x), from top to bottom?
xx - 2floor(x - 2)-1-3?-0.75-2.75?-0.25-2.25-30-2-20.25-1.75-20.5-1.5?1-1?1.25-0.75-11.5-0.5?20?2.250.25?

Question 62

Points: 10

PETS: At Luciana's pet boarding facility, boarding a dog costs $35 per day. Every fraction of a day is rounded up to the next day. Which choice gives the costs in dollars for these intervals, from top to bottom?
DaysCost ($)0 < x ≤ 1?1 < x ≤ 2?2 < x ≤ 3?3 < x ≤ 4?4 < x ≤ 5?5 < x ≤ 6?

Question 63

Points: 10

State the domain and range of this piecewise function.
f(x) = (1/2)x - 1 for x > 3;
f(x) = -2x + 3 for x ≤ 3.

Question 64

Points: 10

State the domain and range of this piecewise function.
f(x) = 2x - 5 for x > 1;
f(x) = 4x - 3 for x ≤ 1.

Question 65

Points: 10

State the domain and range of this piecewise function.
f(x) = 2x + 3 for x ≥ -3;
f(x) = -(1/3)x + 1 for x < -3.

Question 66

Points: 10

Describe the translation of g(x) = |x| - 3 relative to the parent function f(x) = |x|.

Question 67

Points: 10

Describe the translation of j(x) = |x - 4| relative to the parent function f(x) = |x|.

Question 68

Points: 10

Describe the translation of g(x) = |x - 2| + 3 relative to the parent function f(x) = |x|.

Question 69

Points: 10

The graph of g is a translation of the parent graph f(x) = |x| one unit to the right. Which is its equation?

Question 70

Points: 10

The graph of g is a translation of the parent graph f(x) = |x| two units left and five units down. Which is its equation?

Question 71

Points: 10

Describe the dilation shown by the outside multiplier in g(x) = (5/2)|x| relative to f(x) = |x|.

Question 72

Points: 10

For f(x) = |x|, classify the transformation of the input in j(x) = f((4/3)x) = |(4/3)x|. Use the displayed input form, not an equivalent output transformation.

Question 73

Points: 10

For f(x) = |x|, classify the transformation of the input in q(x) = f(x/5) = |x/5|. Use the displayed input form, not an equivalent output transformation.

Question 74

Points: 10

For f(x) = |x|, classify the transformation of the output in P(x) = 6f(x) = 6|x|. Use the displayed output form, not an equivalent input transformation.

Question 75

Points: 10

Classify the dilation shown by the outside multiplier in g(x) = (5/7)|x| relative to f(x) = |x|.

Question 76

Points: 10

Write an equation for each of the two graphs shown, from left to right.

Question 77

Points: 10

Describe j(x) = -|x + 3| + 5 relative to the parent function f(x) = |x|.

Question 78

Points: 10

Describe q(x) = -(3/4)|x| relative to the parent function f(x) = |x|.

Question 79

Points: 10

For f(x) = |x|, describe the transformations of the input displayed in q(x) = f(-4x) = |-4x|. Classify the change using this input form, not an equivalent output form.

Question 80

Points: 10

Graph g(x) = |x + 1| - 4. Which choice gives its domain and range?

Question 81

Points: 10

Graph j(x) = |3x - 6|. Which choice gives its domain and range?

Question 82

Points: 10

Graph p(x) = -|x - 3| + 5. Which choice gives its domain and range?

Question 83

Points: 10

Certain types of glass heat and cool at a nearly constant rate when they are melted to create new products. Use the graph to find the equation representing the process in the form y = a|x - h| + k.

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