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Quizzes > High School Quizzes > Mathematics

Practice Quiz: Proportional Tables of X and Y

Build confidence with proportional table practice problems

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Paper art depicting a trivia quiz on ratio and proportion puzzles for middle school students.

Which table below represents a proportional relationship between x and y?
x: 1, 2, 3; y: 2, 3, 5
x: 1, 2, 3; y: 3, 6, 8
x: 1, 2, 3; y: 2, 4, 6
x: 2, 4, 6; y: 3, 7, 9
The correct table is where the ratio of y to x is constant (2 for each pair). The other options do not maintain a consistent ratio between x and y.
If y = kx in a proportional relationship and x = 4 corresponds to y = 12, what is the constant of proportionality?
4
3
6
2
The constant k is found by dividing y by x. Here, 12 divided by 4 is 3, which means the constant of proportionality is 3.
Does the following table represent a proportional relationship: x: 2, 4, 6 and y: 5, 10, 15?
No, because y does not increase by the same amount
Yes, because each y divided by x equals 2.5
No, because the differences between y-values are not constant
No, because the values do not include zero
The table is proportional because the ratio y/x is consistently 2.5 for all pairs. Proportionality is determined by a constant ratio, not by the presence of a zero value.
In a proportional table, if x = 5 corresponds to y = 20, what is the value of y when x = 8?
40
36
32
28
The constant of proportionality is determined by 20/5 = 4. Multiplying 8 by 4 gives 32, which is the correct value of y.
Which of the following is a defining property of proportional relationships?
x values are always equal to y values
The difference between consecutive y values is constant
The graph is a parabola
y divided by x is constant
A proportional relationship is defined by a constant ratio between y and x. This means that y/x remains the same for all pairs, which is shown in the correct option.
The table below shows pairs of x and y: (4, 10), (6, 15), (8, 20). Which statement confirms that y is proportional to x?
The sum x+y remains the same
Each ratio y/x equals 2.5
Each difference y - x equals 6
The product x*y is constant
By dividing each y by its corresponding x, the ratio is consistently 2.5. This constant ratio confirms that y and x share a proportional relationship.
Given the proportional relationship y = 3x, which table below correctly represents this relationship?
x: 1, 2, 3; y: 3, 7, 10
x: 1, 2, 3; y: 3, 5, 9
x: 1, 2, 3; y: 3, 6, 9
x: 1, 2, 3; y: 2, 6, 9
Multiplying each x value by 3 yields the corresponding y value, which is the hallmark of a proportional relationship with k = 3. The other options do not follow this multiplication rule.
A table shows a proportional relationship where x = 7 corresponds to y = 21. Which of the following tables continues this proportional pattern?
x: 2, 4, 7, 10; y: 7, 14, 21, 28
x: 2, 4, 7, 10; y: 5, 12, 21, 29
x: 2, 4, 7, 10; y: 6, 12, 21, 30
x: 2, 4, 7, 10; y: 6, 11, 21, 30
In this table, every y value is produced by multiplying the corresponding x value by 3, since 21/7 equals 3. The other options do not maintain this constant ratio.
If the proportional relationship is given by y = 5x, what is the missing y-value when x = 9 for the table: x: 3, 5, 9; y: 15, 25, ?
45
40
55
50
Using the equation y = 5x, substituting x = 9 gives y = 9 Ã - 5 = 45. The other choices are the result of common calculation errors.
Which graph best represents the proportional relationship given by y = 2x?
A straight line with a y-intercept at 3 and slope 2
A horizontal line at y = 2
A straight line passing through the origin with slope 2
A curve passing through (0,0) and (2,5)
A proportional relationship must form a straight line through the origin with a constant slope - in this case, 2. The other graphs either do not pass through the origin or do not have the correct slope.
Does the table below represent a proportional relationship: x: 0, 5, 10; y: 0, 11, 22?
No, because y does not double x exactly
Yes, because the ratio y/x (ignoring the zero case) is consistently 2.2
Yes, but only when x is positive
No, because the change in x is not constant
Although the table includes a zero pair, the nonzero entries have a constant ratio of 2.2. This consistency in the ratio confirms a proportional relationship.
Which of the following tables does NOT represent a proportional relationship?
x: 2, 4, 6; y: 4, 10, 16
x: 2, 4, 6; y: 8, 16, 24
x: 3, 6, 9; y: 6, 12, 18
x: 1, 3, 5; y: 3, 9, 15
Option C does not have a constant ratio between y and x, and therefore it is not proportional. The other tables maintain a consistent factor between corresponding values.
What kind of graph represents a proportional relationship between variables?
A horizontal line
A sinusoidal curve
A straight line through the origin
A parabola
A proportional relationship is represented by a straight line that passes through the origin. Other graphs indicate non-linear or non-proportional relationships.
A table lists the following values: when x = 3, y = 12 and when x = 7, y = 28. What is the constant of proportionality k?
4
3
8
7
Dividing y by x for both pairs (12/3 and 28/7) gives a constant value of 4, so the constant k is 4. The other values do not maintain this proportionality.
Which statement best describes the relationship in a proportional table?
y varies inversely with x
y varies directly as x
y is a quadratic function of x
y remains constant regardless of x
In a proportional relationship, y varies directly as x, meaning that y = kx for some constant k. The other options describe different types of mathematical relationships.
If a table shows the proportional relationship with pairs (3, 7), (6, 14), (9, 21), what will be the value of y when x = 12?
24
26
30
28
The constant of proportionality is 7/3, so when x = 12, y is calculated as 12 Ã - (7/3) = 28. The other options result from common calculation errors.
In a proportional relationship, if doubling x doubles y, what is the effect on y when x is tripled?
y increases by a fixed amount
y remains unchanged
y is doubled
y is tripled
In a proportional relationship, the value of y scales directly with x. Tripling x results in tripling y, which is consistent with the constant of proportionality.
A table shows x: 4, 8, 12 and y: 10, 20, ?. What is the missing value of y, and why?
36
32
28
30
The constant is determined from the pair (4,10) as 10/4 = 2.5. Multiplying 12 by 2.5 gives 30, filling the missing value and maintaining proportionality.
When comparing two tables, one shows x: 2, 5, 10 and y: 4, 10, 20, while the other shows x: 2, 5, 10 and y: 4, 11, 20. Which table represents a proportional pattern?
The second table
The first table
Neither table
Both tables
The first table maintains a constant ratio (4/2, 10/5, 20/10 all equal 2), indicating a proportional relationship. The second table does not have a consistent ratio, so only the first table is proportional.
A proportional relationship is defined by y = kx. Given a table with x: 5, 10, 15 and y: ?, 20, 30, find the missing value and state the constant k.
20
15
12
10
Using the known pair (10,20), the constant k is 20/10 = 2. Then, multiplying 5 by 2 gives 10 for the missing value, which is consistent with the proportional relationship.
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Study Outcomes

  1. Analyze tables to identify consistent proportional relationships between x and y.
  2. Apply multiplicative reasoning to solve for missing values in proportional data.
  3. Evaluate ratios to determine if they represent a proportional relationship.
  4. Interpret table data to confirm the accuracy of equivalent ratios.
  5. Construct and verify proportional tables using given ratios.

Proportional Relationship Cheat Sheet

  1. Proportional Relationships Basics - Picture two buddies linked by a secret ratio: in a proportional relationship, one quantity is always a fixed multiple of the other. That fixed multiple is called the constant of proportionality, and it's your golden ticket to cracking proportional problems. LibreTexts Proportional Intro
  2. Spot the Ratio in Tables - Ever wonder if a table hides a proportional secret? Simply divide y by x for each row - if every answer matches, boom! You've got proportional magic. Online Math Learning Worksheet
  3. Find Your Magic Number (k) - To unearth the constant of proportionality, just pick any pair (x, y) and calculate k = y/x. This k stays the same no matter which pair you pick, making it your trusty sidekick. Education.com Constant Practice
  4. Write the Equation - Transform your insight into the sleek form y = kx. This formula tells the story of direct proportionality, showing that y scales up or down in sync with x like a well-choreographed dance. Education.com Equation Guide
  5. Graph It to See It - Plot your table's points on a graph - if they line up in a straight line through the origin (0,0), you've got a proportional relationship in action. That straight line is your visual proof! Online Math Graphing Tips
  6. Beware of Sneaky Inconsistencies - If y/x ratios wobble from row to row, it's not proportional - no matter how tempting it looks. Always double-check your ratios before committing to a conclusion. Education.com Identify Proportional
  7. Practice Makes Perfect - Dive into multiple tables, calculate k, and confirm proportionality until it feels like second nature. Regular drills sharpen your skills and build unshakeable confidence. MathBits Notebook Practice
  8. Understand the Constant Rate - In a proportional scenario, as one quantity rises, the other follows suit at a constant pace - like a tandem bike ride you control with one steady pedal. This constant rate of change is the heartbeat of proportionality. Online Math Fundamentals
  9. Apply It to Real Life - Grab a recipe or cruise through a speed-distance-time problem to see proportional relationships jump off the page. Real-world examples cement your understanding and make math feel instantly useful. Online Math Real-World Examples
  10. Engage with Interactive Worksheets - Level up with quizzes and interactive challenges that test your mastery of tables, graphs, and equations. Consistent practice is your secret weapon for becoming a proportional pro! Interactive Worksheet
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