Nicholas Zhao Teaches Math

CBE: Algebra Prep

Category focus

Proportionality

Back to bank

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

Questions

78

Skill type

proportionality

Study mode

Practice + review

Sample questions

Question

An artist started with some paint bottles. The artist buys the same number of additional bottles each week. The table shows the linear relationship between x, the number of weeks, and y, the number of bottles that the artist has. Paint Bottles Number of Weeks, x Number of Bottles, y 4 25 7 34 12 49 15 58 How many bottles did the artist have at the start?Open full-size question
  • A.
    3
  • B.
    9
  • C.
    13
  • D.
    15

Released 2024 STAAR Grade 8 Mathematics, question 15. Answer verified against the official key.

Question

The value of y is directly proportional to the value of x. When What is the value of y whenOpen full-size question
  • A.
    75
  • B.
    Answer B diagram
  • C.
    56
  • D.
    Answer D diagram

Released 2024 STAAR Grade 8 Mathematics, question 23. Answer verified against the official key.

Question

Which equation represents a proportional relationship between x and y?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 26. Answer verified against the official key.

Question

Pentagon NQRTW was dilated with the origin as the center to create pentagon  Vertex  is located at (6, 2). Which rule best describes the dilation?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 28. Answer verified against the official key.

Question

A bakery delivers cookies to offices. The bakery charges a $5 delivery fee. The bakery charges a total of $20.00 for delivering 12 cookies. The bakery charges a total of $27.50 for delivering 18 cookies.  Which equation represents the total charge in dollars, y, for a delivery of x cookies?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 31. Answer verified against the official key.

Question

Which scatterplot best represents a nonlinear relationship between the x- and y‑values?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 32. Answer verified against the official key.

Question

Which graph or table shows the proportional relationship described by the functionOpen full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    x y 2 4 6
  • D.
    x y 2 4 6

Released 2024 STAAR Grade 8 Mathematics, question 34. Answer verified against the official key.

Question

The line on the coordinate grid includes the hypotenuse of right triangle KLM. Right triangle UVW is similar to right triangle KLM. Vertex W is at . The slopes of the hypotenuses of the two triangles are equal. Which ordered pair could be the coordinates of vertex V?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 36. Answer verified against the official key.

Question

A catering company recorded the total number of cookies that were eaten at events with different numbers of guests. The scatterplot shows the results. Based on the scatterplot, approximately how many cookies would be eaten at an event with 45 guests?Open full-size question
  • A.
    41
  • B.
    39
  • C.
    48
  • D.
    44

Released 2024 STAAR Grade 8 Mathematics, question 39. Answer verified against the official key.

Question

A worker paints 4 cabinets in 8 hours. Which graph has a slope that best represents the number of cabinets the worker paints per hour?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 40. Answer verified against the official key.

Question

A student read 24 books in 15 weeks. Which graph has a slope that best models this rate?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2025 STAAR Grade 8 Mathematics, question 1. Answer verified against the official key.

Question

Which set of ordered pairs represents y as a function of x?Open full-size question
  • A.
    {(5, 13), (7, 17), (9, 21), (11, 25)}
  • B.
    {(5, –13), (5, 17), (9, –21), (11, 25)}
  • C.
    {(16, –4), (8, 22), (8, 9), (4, –6)}
  • D.
    {(5, 13), (7, 14), (9, 15), (9, 17)}

Released 2025 STAAR Grade 8 Mathematics, question 3. Answer verified against the official key.

Question

The graph of a linear relationship is shown on the coordinate grid. What are the slope and the y‑intercept of the line?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2025 STAAR Grade 8 Mathematics, question 5. Answer verified against the official key.

Question

The scatterplot shows the relationship between the amount of money a small business spent on advertising in each of 10 weeks and the amount of revenue in dollars the business received each week. Based on the scatterplot, which value is the best prediction for the amount of revenue in dollars the business will receive in a week when $1,000 is spent on advertising?Open full-size question
  • A.
    $15,000
  • B.
    $11,000
  • C.
    $13,000
  • D.
    $8,000

Released 2025 STAAR Grade 8 Mathematics, question 8. Answer verified against the official key.

Question

Which situation represents a proportional relationship?Open full-size question
  • A.
    The key on a map indicates that  inch represents 12 miles.
  • B.
    Using a coupon to purchase bottles of apple juice for $2.28 each reduces the total cost by $1.00.
  • C.
    x y 1 4.25 3 12.75 5 22.25
  • D.
    x y 1 3 4 6 8 9

Released 2025 STAAR Grade 8 Mathematics, question 12. Answer verified against the official key.

Question

Triangle PQR is dilated with the center of dilation at the origin to form triangle  Which statement must be true?Open full-size question
  • A.
    Triangle PQR was dilated by a scale factor of to create triangle
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Triangle PQR is congruent to triangle

Released 2025 STAAR Grade 8 Mathematics, question 13. Answer verified against the official key.

Question

Triangle is graphed on a coordinate plane. The triangle is dilated with the origin as the center of dilation to create triangle The table shows the coordinates of the original vertices and the corresponding coordinates of the new vertices after the dilation is applied. Vertices of Vertices of   Which rule represents the dilation that was applied to triangle  to create triangleOpen full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2025 STAAR Grade 8 Mathematics, question 17. Answer verified against the official key.

Question

The graph shows seven data points. Which pair of points could be added to the graph to suggest a linear relationship?Open full-size question
  • A.
    (3, 7) and (8, 1)
  • B.
    (2, 1) and (2, 8)
  • C.
    (2, 5) and (6, 1)
  • D.
    (5, 4) and (6, 6)

Released 2025 STAAR Grade 8 Mathematics, question 18. Answer verified against the official key.

Question

Malik owns a lawn-mowing business. The number of lawns he mows varies directly with the number of hours he works. On Tuesday he mowed 4 lawns in 5 hours. How many lawns can Malik mow on Wednesday if he works for 7.5 hours?Open full-size question
  • A.
    6.5
  • B.
    10
  • C.
    6
  • D.
    9.375

Released 2025 STAAR Grade 8 Mathematics, question 20. Answer verified against the official key.

Question

Dillon can bike 6 miles in 0.5 hour. Which line has a slope that best represents Dillon’s speed in miles per hour?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2025 STAAR Grade 8 Mathematics, question 28. Answer verified against the official key.