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

Quadrilateral PQRT is dilated with the origin as the center of dilation to create quadrilateral  Point P is located at (3, 6), and point  is located at (8, 16). Which rule best represents the dilation that was applied to quadrilateral PQRT to create quadrilateralOpen 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 29. Answer verified against the official key.

Question

The scatterplot shows a relationship between x and y. Based on the scatterplot, which is the best prediction of the value of y when x is 10?Open full-size question
  • A.
    6.5
  • B.
    10
  • C.
    12.5
  • D.
    8

Released 2025 STAAR Grade 8 Mathematics, question 31. Answer verified against the official key.

Question

The graph of a relation is shown. Which statement best describes this graph?Open full-size question
  • A.
    The graph represents y as a function of x, because each x‑value corresponds to exactly one y‑value.
  • B.
    The graph represents y as a function of x, because each x‑value corresponds to multiple y‑values.
  • C.
    The graph does not represent y as a function of x, because each x‑value corresponds to exactly one y‑value.
  • D.
    The graph does not represent y as a function of x, because each x‑value corresponds to multiple y‑values.

Released 2025 STAAR Grade 8 Mathematics, question 33. Answer verified against the official key.

Question

Which statement about the equation is true?Open full-size question
  • A.
    The equation describes a non-proportional relationship, because the point is a solution.
  • B.
    The equation describes a non-proportional relationship, because the slope is a fraction.
  • C.
    The equation describes a proportional relationship, because the point is a solution.
  • D.
    The equation describes a proportional relationship, because it has a constant slope of .

Released 2025 STAAR Grade 8 Mathematics, question 36. Answer verified against the official key.

Question

The total cost for a company to make a product includes fixed costs of $3,050 plus $15.25 per product. Which function can be used to find c, the total cost in dollars to make p products?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 40. Answer verified against the official key.

Question

A snow cone vendor records the number of snow cones sold each day for 10 days and the high temperature in degrees Fahrenheit for each day. The scatterplot shows the recorded data. Based on the data, which value is the best prediction for the number of snow cones sold if the daily high temperature is 100 °F?Open full-size question
  • A.
    60
  • B.
    70
  • C.
    50
  • D.
    55

Released 2026 STAAR Grade 8 Mathematics, question 1. Answer verified against the official key.

Question

Pentagon is dilated with the origin as the center of dilation to create pentagon Which rule best represents the dilation that was applied to pentagon to create pentagonOpen full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2026 STAAR Grade 8 Mathematics, question 3. Answer verified against the official key.

Question

The table represents a linear relationship between x and y. x y –6 0.5 0 2.5 3 3.5 Which equation represents this relationship?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2026 STAAR Grade 8 Mathematics, question 4. Answer verified against the official key.

Question

An assembly line in a factory moves items at a rate of 6 feet every 15 seconds. Which graph has a slope that best represents this rate?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2026 STAAR Grade 8 Mathematics, question 6. Answer verified against the official key.

Question

The value of y varies directly with x. When  What is the value of y whenOpen full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2026 STAAR Grade 8 Mathematics, question 12. Answer verified against the official key.

Question

Triangles LMN and WVN are similar right triangles. Which proportion shows that the slope of is equal to the slope ofOpen full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2026 STAAR Grade 8 Mathematics, question 17. Answer verified against the official key.

Question

Which set of ordered pairs 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 2026 STAAR Grade 8 Mathematics, question 19. Answer verified against the official key.

Question

A student buys baskets, packaging material, and pears to create gift baskets: Each empty basket costs $9.00. Packaging material costs $3.00 per basket. The pears cost $6.50 for 5. Which equation can be used to find the total cost in dollars, y, of a gift basket that contains packaging material and x pears?Open full-size question
  • A.
    y = 1.3x + 9
  • B.
    y = 6.5x + 12
  • C.
    y = 1.3x + 12
  • D.
    y = 6.5x + 3

Released 2026 STAAR Grade 8 Mathematics, question 23. Answer verified against the official key.

Question

The graph of a linear relationship is shown. Which values best represent the slope and y‑intercept of the line?Open full-size question
  • A.
    The slope is and the y‑intercept is 4.
  • B.
    The slope is and the y‑intercept is 4.
  • C.
    The slope is and the y‑intercept is 3.
  • D.
    The slope is and the y‑intercept is 3.

Released 2026 STAAR Grade 8 Mathematics, question 25. Answer verified against the official key.

Question

Triangle PQR is graphed on a coordinate grid with vertex Q at (4, –1). Triangle PQR is then dilated by a scale factor of k with the origin as the center of dilation to create triangle  Which ordered pair represents the coordinates of vertexOpen full-size question
  • A.
    (4 – k, –1 – k)
  • B.
    (4 + k, –1 + k)
  • C.
    Answer C diagram
  • D.
    (4k, –k)

Released 2026 STAAR Grade 8 Mathematics, question 26. Answer verified against the official key.

Question

An ice maker in a restaurant’s kitchen produces 17.5 pounds of ice in 5 hours. Which graph has a slope that best represents this rate?Open full-size question
  • A.
    Answer A diagram
  • B.
    Answer B diagram
  • C.
    Answer C diagram
  • D.
    Answer D diagram

Released 2026 STAAR Grade 8 Mathematics, question 32. Answer verified against the official key.

Question

Which graph on a coordinate grid represents y as a function of x?Open full-size question
  • A.
    A triangle
  • B.
    A circle
  • C.
    Two different points on the y-axis
  • D.
    A line parallel to the x-axis

Released 2026 STAAR Grade 8 Mathematics, question 34. Answer verified against the official key.

Question

Which table shows a proportional relationship between x and y?Open full-size question
  • A.
    x y 1 1.5 2 3 3 4.5 4 6
  • B.
    x y 3 4.5 5.5 7 8 9.5 10.5 12
  • C.
    x y 3 1.5 5 2.5 7 3.5 10 4.5
  • D.
    x y 1 2.5 2 4.5 3 10 4 15

Released 2026 STAAR Grade 8 Mathematics, question 36. Answer verified against the official key.