Nicholas Zhao Teaches Math

CBE: Algebra Prep

Category focus

Proportionality

Back to bank

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
  • A.
    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) }
  • C.
    Answer C: {(11.1, 7), (5.1, 4), (12.1, 5), (6.1, 7)} _ _ _ _
  • D.
    Answer D: {( √ 1 , − 3), ( √ 2 , − 4), ( √ 1 , − 5), ( √ 6 , − 7)}

Imported from a released STAAR assessment item. Review recommended for final answer key alignment.

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
  • A.
    Answer A: Answer A (see image)
  • B.
    Answer B: Answer B (see image)
  • C.
    Answer C: Answer C (see image)
  • D.
    Answer D: Answer D (see image)

Imported from a released STAAR assessment item. Review recommended for final answer key alignment.

Question

Triangle RVT and triangle RBS are similar right triangles. Which proportion represents the slope of the line containing R, S, and T?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 5. Answer verified against the official key.

Question

Which table shows a proportional relationship between x and y?Open full-size question
  • A.
    x y
  • B.
    x y
  • C.
    x y
  • D.
    x y

Released 2023 STAAR Grade 8 Mathematics, question 7. Answer verified against the official key.

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?Open full-size question
  • A.
    Each angle measure of quadrilateral  will be 3.75 times the corresponding angle measure of quadrilateral LMPQ.
  • B.
    Each angle measure of quadrilateral  will be 3.75 more than the corresponding angle measure of quadrilateral LMPQ.
  • C.
    Each side length of quadrilateral  will be 3.75 times the corresponding side length of quadrilateral LMPQ.
  • D.
    Each side length of quadrilateral  will be 3.75 more than the corresponding side length of quadrilateral LMPQ.

Released 2023 STAAR Grade 8 Mathematics, question 11. Answer verified against the official key.

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?Open full-size question
  • A.
    53
  • B.
    62
  • C.
    40
  • D.
    30

Released 2023 STAAR Grade 8 Mathematics, question 12. Answer verified against the official key.

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?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 16. Answer verified against the official key.

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?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 19. Answer verified against the official key.

Question

The graph of a linear function passes through the points and . Which equation represents the function?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 20. Answer verified against the official key.

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?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 26. Answer verified against the official key.

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?Open full-size question
  • A.
    1,500
  • B.
    2,000
  • C.
    2,400
  • D.
    2,700

Released 2023 STAAR Grade 8 Mathematics, question 28. Answer verified against the official key.

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?Open full-size question
  • A.
    The initial amount Josh put in the jar was $225.
  • B.
    The initial amount Josh put in the jar was $75.
  • C.
    The amount of money Josh adds to the jar each month is $45.
  • D.
    The amount of money Josh adds to the jar each month is $60.

Released 2023 STAAR Grade 8 Mathematics, question 32. Answer verified against the official key.

Question

Which mapping represents y as a function of x?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 34. Answer verified against the official key.

Question

Quadrilateral KLMN is similar to quadrilateral TUVW. Side lengths are given in centimeters. Which proportion must be true?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 38. Answer verified against the official key.

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?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2023 STAAR Grade 8 Mathematics, question 39. Answer verified against the official key.

Question

Which graph does NOT represent y as a function of x?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2024 STAAR Grade 8 Mathematics, question 3. Answer verified against the official key.

Question

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?Open full-size question
  • A.
    95 min
  • B.
    105 min
  • C.
    125 min
  • D.
    155 min

Released 2024 STAAR Grade 8 Mathematics, question 4. Answer verified against the official key.

Question

Quadrilateral PQRT and quadrilateral KLMN are similar. Which proportion must be true?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2024 STAAR Grade 8 Mathematics, question 6. Answer verified against the official key.

Question

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?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2024 STAAR Grade 8 Mathematics, question 11. Answer verified against the official key.

Question

Which representation best describes a proportional relationship between x and y?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    y = x + 4
  • D.
    Answer D diagram

Released 2024 STAAR Grade 8 Mathematics, question 13. Answer verified against the official key.