Many families search for “M-STEP Grade 8 math practice,” but current Michigan assessment materials require a careful correction. Michigan Department of Education materials list M-STEP mathematics for Grades 3-7; Grade 8 students take the PSAT 8/9 for math and English language arts, while Grade 8 M-STEP is used for science and social studies. This article is therefore a Michigan Grade 8 math practice guide, not a claim that Grade 8 math is currently tested through M-STEP.
ViewMath is not affiliated with or endorsed by the Michigan Department of Education, M-STEP, PSAT, or the College Board. These are original practice questions for Michigan Grade 8 math review. Confirm current assessment details with your school or the official MDE assessment pages.
What Michigan Grade 8 Math Students Should Practice
Grade 8 math shifts students toward algebraic thinking, functions, geometry transformations, and data relationships. A strong review plan should cover these areas:
| Domain | Practice Focus |
|---|---|
| The Number System | Rational and irrational numbers, decimal expansions, square roots, and approximations. |
| Expressions and Equations | Integer exponents, scientific notation, linear equations, slope, and systems of equations. |
| Functions | Function notation, input-output rules, linear versus nonlinear relationships, and rate of change. |
| Geometry | Translations, rotations, reflections, dilations, congruence, similarity, the Pythagorean theorem, and volume. |
| Statistics | Scatter plots, lines of best fit, patterns of association, and two-way tables. |
15 Michigan Grade 8 Math Practice Problems
These are original practice questions written for Grade 8 review.
1. Irrational Numbers. Between which two consecutive whole numbers does √52 lie?
2. Scientific Notation. The distance from Earth to the Sun is about 1.5 × 108 km. The distance from Earth to the Moon is about 3.84 × 105 km. About how many times farther from Earth is the Sun than the Moon?
3. Linear Equation. Solve: 4(2x – 3) = 3(x + 5) – 2.
4. System of Equations. Solve the system: y = 2x + 1 and y = -x + 7.
5. Functions. Which relation is not a function? Explain why.
Relation A: (1, 3), (2, 5), (3, 7), (4, 9)
Relation B: (1, 3), (2, 5), (1, 7), (4, 9)
6. Slope. A line passes through (2, 5) and (6, 13). What is the slope?
7. Linear or Nonlinear. A table has x-values 0, 1, 2, 3 and y-values 1, 3, 9, 27. Is the relationship linear or nonlinear?
8. Translation. Triangle ABC has vertices A(1, 2), B(3, 2), and C(2, 5). It is translated 4 units right and 3 units down. What are the new coordinates?
9. Congruence. Which transformations preserve size and shape: translations, reflections, rotations, dilations?
10. Pythagorean Theorem. A 15-foot ladder leans against a wall. The base is 9 feet from the wall. How high up the wall does the ladder reach?
11. Three-Dimensional Diagonal. A rectangular box measures 6 cm by 8 cm by 10 cm. What is the length of the longest diagonal through the interior? Round to the nearest tenth.
12. Cone Volume. A cone has radius 5 cm and height 12 cm. What is its volume? Use 3.14 for pi.
13. Line of Best Fit. A line of best fit for study hours x and test score y is y = 4x + 55. What score is predicted for 8 hours of study?
14. Two-Way Table. In a survey, 30 of 60 Grade 8 students preferred math. What percentage of Grade 8 students preferred math?
15. Exponent Rules. Simplify: (23 × 2-5) ÷ 2-1.
Answers with Work
- Between 7 and 8. 72 = 49 and 82 = 64.
- About 3.9 × 102 times. (1.5 × 108) ÷ (3.84 × 105) = (1.5/3.84) × 103 = 3.906 × 102.
- x = 5. 8x – 12 = 3x + 13, so 5x = 25.
- (2, 5). Set 2x + 1 = -x + 7, so 3x = 6 and x = 2. Then y = 5.
- Relation B. The input 1 has two different outputs, 3 and 7.
- 2. Slope = (13 – 5)/(6 – 2) = 8/4.
- Nonlinear. The y-values do not increase by a constant difference; they multiply by 3 each time.
- A'(5, -1), B'(7, -1), C'(6, 2). Add 4 to each x-coordinate and subtract 3 from each y-coordinate.
- Translations, reflections, and rotations. Dilations do not necessarily preserve size.
- 12 feet. 92 + h2 = 152, so h2 = 144.
- 14.1 cm. Interior diagonal = √(62 + 82 + 102) = √200.
- 314 cubic cm. V = (1/3)πr2h = (1/3)(3.14)(25)(12).
- 87. y = 4(8) + 55.
- 50%. 30/60 = 1/2.
- 1/2. 23 × 2-5 = 2-2; then 2-2 ÷ 2-1 = 2-1.
Grade 8 Study Checklist
- Can you solve equations with variables on both sides?
- Can you find slope from a graph, table, equation, or two points?
- Can you decide whether a relationship is a function?
- Can you solve a simple system of equations by substitution?
- Can you use the Pythagorean theorem in word problems?
- Can you identify transformations and their effects on coordinates?
- Can you interpret scatter plots and lines of best fit?
Two-Week Grade 8 Math Review Plan
| Days | Focus | Practice |
|---|---|---|
| 1-2 | Number system and exponents | Square roots, scientific notation, and exponent rules. |
| 3-5 | Equations and systems | Linear equations, slope, and substitution. |
| 6-7 | Functions | Function tables, graphs, and rate of change. |
| 8-10 | Geometry | Transformations, Pythagorean theorem, and volume. |
| 11-12 | Statistics | Scatter plots, lines of best fit, and two-way tables. |
| 13-14 | Mixed review | Timed practice and error-log repair. |
ViewMath Michigan Grade 8 Resources
Use ViewMath Michigan Grade 8 math resources for worksheets, workbooks, quizzes, and full mixed practice aligned to Michigan Grade 8 math standards.
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