Nicholas Zhao Teaches Math

CBE: Algebra Prep

Category focus

Proportionality

Connect slopes, tables, graphs, equations, rates, similar figures, and dilations.

Questions

82

Skill type

proportionality

Study mode

Practice + review

Sample questions

Question

$Which set of ordered pairs represents y as a function of x? _ _ _ _$ Open full-size question

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$Answer A: {(4, √ 17 ), (2, √ 6 ), (1, √ 3 ), (1, √ 10 )}$
B.
$Answer B: {( −7, 2.9), ( −15, 5.9), ( −15, 8.9), ( −7, 11.9) }$
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$Answer C: {(11.1, 7), (5.1, 4), (12.1, 5), (6.1, 7)} _ _ _ _$
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$Answer D: {( √ 1 , − 3), ( √ 2 , − 4), ( √ 1 , − 5), ( √ 6 , − 7)}$

Question

$A student traveled a distance of 68 miles in 136 minutes. Which graph has a slope that best represents this rate? Tr avel Tr avel y y 9 9 8 8 7 7 6 6 A 5 C 5 4 4 3 3 2 2 1 1 0 1 2 3 4 567789 0 1234567x 789 x Time (minutes) Time (minutes) Tr avel Tr avel y y 9 9 8 8 7 7 6 6 B 5 D 5 4 4 3 3 2 2 1 1 0 1234567789 0 1234567x x789 Time (minutes) Time (minutes)$ Open full-size question

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$Answer A: Answer A (see image)$
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$Answer B: Answer B (see image)$
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$Answer C: Answer C (see image)$
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$Answer D: Answer D (see image)$

Question

Triangle RVT and triangle RBS are similar right triangles.

Which proportion represents the slope of the line containing R, S, and T?

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Question

Quadrilateral LMPQ is shown on the coordinate grid. Quadrilateral LMPQ will be dilated to create quadrilateral . Quadrilateral LMPQ will be dilated with the origin as the center of dilation using the rule .

Which statement is true?

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Question

The scatterplot shows the number of customers and the number of servings of iced tea sold at a food trailer each day over a 7‑day period.

Based on the scatterplot, which of these is the best prediction for the number of servings of iced tea sold on a day where the food trailer has 80 customers?

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Question

A bookshelf contains 15 books that each have the same width. The combined width for all 15 books is 12 inches.

Which graph has a slope that best models the width of each book?

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Question

A rectangle is graphed on a coordinate plane. The table shows the original vertices and the new vertices after a scale factor with center of dilation at is applied.

Rectangle Dilation
Vertices of Original Rectangle Vertices of Dilated Rectangle

What rule is applied to the original rectangle to create the new rectangle?

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Question

The graph of a linear function passes through the points and .

Which equation represents the function?

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Question

A bus travels 25 miles in 30 minutes. Which graph has a slope that best represents the number of miles per minute the bus travels?

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Question

An organization published pamphlets of different lengths. The scatterplot shows the relationship between the number of pages and the word count of each pamphlet.

Based on the data, which of these is the best prediction of the word count for a 10-page pamphlet?

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Question

Josh is saving money to buy a computer. He put the initial amount he has saved into a jar. Each month he puts an additional amount of money into the jar. The table shows the linear relationship between the number of months Josh has added money to the jar, x, and the total amount of money in the jar, y.

Number of Months, x Total Amount in Jar, y (dollars)
5 225
7 285
11 405
15 525

Which statement is true?

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Quadrilateral KLMN is similar to quadrilateral TUVW. Side lengths are given in centimeters.

Which proportion must be true?

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Question

Jerri paid $2.52 for 6 oranges. Each orange costs the same amount.

Which function can be used to find the total cost in dollars, c, for purchasing n oranges?

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A company employee had to read several financial reports. The scatterplot shows the lengths and reading times for those reports.

Which prediction of the time in minutes to read a 90-page report is best supported by the data?

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Question

Quadrilateral PQRT and quadrilateral KLMN are similar.

Which proportion must be true?

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A printing store used 24 ounces of ink in 18 minutes. Which graph has a slope that best represents the average number of ounces of ink used per minute?

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