Nicholas Zhao Teaches Math

CBE: Algebra Prep

Category focus

Expressions, Equations, and Relationships

Back to bank

Solve equations and inequalities and reason about geometric relationships and measurement.

Questions

101

Skill type

expressions and-equations

Study mode

Practice + review

Sample questions

Question

What value of x makes the equation true? –6x + 8 = 2(x – 12)Open full-size question
  • A.
    –2.5
  • B.
    2.5
  • C.
    –4
  • D.
    4

Released 2025 STAAR Grade 8 Mathematics, question 10. Answer verified against the official key.

Question

Line segment LN is shown on the coordinate grid. Which measurement is closest to the length of line segment LN in units?Open full-size question
  • A.
    9 units
  • B.
    15 units
  • C.
    7 units
  • D.
    11 units

Released 2025 STAAR Grade 8 Mathematics, question 15. Answer verified against the official key.

Question

A right triangle has a leg with a length of 12 feet and a hypotenuse of 13.6 feet. What is the length of the other leg of the triangle in feet?Open full-size question
  • A.
    6.4 ft
  • B.
    25.6 ft
  • C.
    1.6 ft
  • D.
    3.2 ft

Released 2025 STAAR Grade 8 Mathematics, question 19. Answer verified against the official key.

Question

A sphere has a diameter of 6 centimeters. What is the volume of the sphere in cubic centimeters in terms ofOpen 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 21. Answer verified against the official key.

Question

The measures of two angles are and . The angle measures are equal. What is the value of x?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 22. Answer verified against the official key.

Question

Squares X, Y, and Z are joined at two vertices each to create the right triangle shown in the diagram. The area of Square X is 441 square centimeters, and the area of Square Y is 400 square centimeters. Which measurement is closest to the side length of Square Z in centimeters?Open full-size question
  • A.
    29 cm
  • B.
    41 cm
  • C.
    421 cm
  • D.
    841 cm

Released 2025 STAAR Grade 8 Mathematics, question 27. Answer verified against the official key.

Question

The volume of a cone is approximately 1,647 cubic centimeters. The height of the cone is 13 centimeters. Which measurement is closest to the diameter of the base of the cone in centimeters?Open full-size question
  • A.
    22 cm
  • B.
    11 cm
  • C.
    12.7 cm
  • D.
    6.4 cm

Released 2025 STAAR Grade 8 Mathematics, question 35. Answer verified against the official key.

Question

The dimensions of a rectangular prism are shown in the diagram. What is the total surface area of the rectangular prism in square inches?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 37. Answer verified against the official key.

Question

A right triangle is shown with its side lengths in meters. What is the value of x in meters?Open full-size question
  • A.
    4.1 m
  • B.
    2.8 m
  • C.
    1.4 m
  • D.
    5.6 m

Released 2026 STAAR Grade 8 Mathematics, question 5. Answer verified against the official key.

Question

A spherical soap bubble has a diameter of 9 millimeters. Which measurement is closest to the volume of the soap bubble in cubic millimeters?Open full-size question
  • A.
    254 mm3
  • B.
    122 mm3
  • C.
    64 mm3
  • D.
    382 mm3

Released 2026 STAAR Grade 8 Mathematics, question 7. Answer verified against the official key.

Question

The total surface area of a rectangular prism is 362 square centimeters. The base of the prism has a length of 8 centimeters and a width of 6 centimeters. Which measurement is closest to the height of the rectangular prism in centimeters?Open full-size question
  • A.
    9.5 cm
  • B.
    12.9 cm
  • C.
    7.5 cm
  • D.
    11.2 cm

Released 2026 STAAR Grade 8 Mathematics, question 9. Answer verified against the official key.

Question

Genevieve is offered two sales jobs. At Company P, she would earn $1,462.50 per month plus 4% of her total sales. At Company Q, she would earn $871.20 per month plus 6.5% of her total sales. For what amount of total sales would the monthly earnings be equal?Open full-size question
  • A.
    $23,504.85
  • B.
    $23,652.00
  • C.
    $22,226.67
  • D.
    $23,338.00

Released 2026 STAAR Grade 8 Mathematics, question 14. Answer verified against the official key.

Question

Points P and Q are shown on the coordinate grid. Which measurement is closest to the distance between the points in units?Open full-size question
  • A.
    12 units
  • B.
    8 units
  • C.
    16 units
  • D.
    10 units

Released 2026 STAAR Grade 8 Mathematics, question 20. Answer verified against the official key.

Question

Which situation can be represented by this inequality?Open full-size question
  • A.
    Jasmine and Hunter are each making bracelets to sell. Jasmine has spent $8 and plans to purchase 40 additional beads. Hunter has spent $4 and plans to purchase 60 additional beads. At what cost per bead, x, will Jasmine have spent more than Hunter?
  • B.
    Jasmine and Hunter are each making bracelets to sell. Jasmine has spent $8 and plans to purchase 40 additional beads. Hunter has spent $4 and plans to purchase 60 additional beads. At what cost per bead, x, will Hunter have spent more than Jasmine?
  • C.
    Carmen and Dante are each saving to purchase a new video game. Carmen has saved $40 and plans to save $8 per week. Dante has saved $60 and plans to save $4 per week. After how many weeks, x, will Dante have saved more money than Carmen?
  • D.
    Carmen and Dante are each saving to purchase a new video game. Carmen has saved $40 and plans to save $8 per week. Dante has saved $60 and plans to save $4 per week. After how many weeks, x, will Carmen have saved more money than Dante?

Released 2026 STAAR Grade 8 Mathematics, question 21. Answer verified against the official key.

Question

Three squares are joined to create a right triangle. The side length of Square 3 is shown in centimeters. Which values could represent the areas of Square 1 and Square 2 in square centimeters?Open full-size question
  • A.
    The area of Square 1 is 78 cm2, and the area of Square 2 is 118 cm2.
  • B.
    The area of Square 1 is 25 cm2, and the area of Square 2 is 81 cm2.
  • C.
    The area of Square 1 is 36 cm2, and the area of Square 2 is 64 cm2.
  • D.
    The area of Square 1 is 60 cm2, and the area of Square 2 is 120 cm2.

Released 2026 STAAR Grade 8 Mathematics, question 24. Answer verified against the official key.

Question

The width of a calculator screen is 8.5 centimeters, and the length of the screen is 6.35 centimeters. Which measurement is closest to the length of the diagonal of the screen?Open full-size question
  • A.
    10.6 cm
  • B.
    29.7 cm
  • C.
    14.9 cm
  • D.
    5.7 cm

Released 2026 STAAR Grade 8 Mathematics, question 27. Answer verified against the official key.

Question

What is the solution to the equationOpen 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 28. Answer verified against the official key.

Question

Two linear equations are graphed on the coordinate grid. What is the y‑coordinate of the ordered pair that represents the solution to both equations?Open full-size question
  • A.
    3
  • B.
    1
  • C.
    2
  • D.
    –1

Released 2026 STAAR Grade 8 Mathematics, question 30. Answer verified against the official key.

Question

A cylinder and its dimensions in inches are shown. Which measurement is closest to the lateral surface area of the cylinder in square inches?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 38. Answer verified against the official key.

Question

Solve for x: 3x + 7 = 22.

  • A.
    x = 3
  • B.
    x = 5
  • C.
    x = 6
  • D.
    x = 7

Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.