Grade 8 CMAS math preparation should feel like a bridge into Algebra 1. Students still need arithmetic accuracy, but the biggest gains often come from functions, linear equations, systems, geometry, and interpreting graphs. Colorado’s CMAS math assessments are administered in grades 3-8, and CDE lists the 2026 CMAS window as April 6 through April 24.
This guide gives original practice and a study sequence for Grade 8 students. ViewMath is independent and is not affiliated with or endorsed by the Colorado Department of Education. Families should use the CDE assessment FAQ for official testing facts and use ViewMath for independent review.
What Grade 8 Students Should Review First
Start with the topics that support the most other skills. Linear relationships, slope, equations, and functions appear across tables, graphs, word problems, and geometry contexts. A student who understands rate of change can often handle a function table, a graph, a proportional relationship, and a real-world equation with the same core idea.
- Functions: input-output rules, function notation, tables, graphs, and verbal descriptions.
- Linear equations: slope-intercept form, graphing, and solving equations.
- Systems: solving by graphing, substitution, or reasoning from context.
- Geometry: transformations, angle relationships, volume, and Pythagorean theorem.
- Data: scatter plots, association, and lines of best fit.
Practice Set
1. A function is defined by f(x) = 3x – 4. Find f(7).
2. The points (2, 5) and (6, 17) lie on a line. What is the slope?
3. Write an equation for a line with slope 4 and y-intercept -3.
4. Solve 5x – 8 = 2x + 13.
5. Solve the system: y = x + 2 and y = -2x + 11.
6. A right triangle has legs 8 and 15. Find the hypotenuse.
7. A cylinder has radius 3 and height 10. What is its volume in terms of pi?
8. A scatter plot rises from left to right, with points close to a line. Describe the association.
9. The rule y = 2x + 5 gives the cost in dollars for x notebooks plus a fixed fee. What does the 5 represent?
10. Is the relation {(1, 3), (2, 6), (3, 9), (2, 8)} a function? Explain.
Answers
1. 17. 2. 3 because (17 – 5)/(6 – 2) = 12/4. 3. y = 4x – 3. 4. x = 7. 5. x = 3 and y = 5. 6. 17. 7. 90pi cubic units. 8. Strong positive association. 9. The fixed fee or starting cost. 10. No. The input 2 has two different outputs, 6 and 8.
How to Study Functions
Students often think a function is only an equation. For Grade 8, practice functions in four forms: table, graph, equation, and situation. A strong student can move among all four.
| Representation | Question to ask | Example |
|---|---|---|
| Table | What changes by a constant amount? | x increases by 1, y increases by 3 |
| Graph | What is the slope and intercept? | Line crosses y-axis at 2 |
| Equation | What do the coefficient and constant mean? | y = 5x + 10 |
| Situation | What is the starting amount and rate? | $10 fee plus $5 per hour |
Common Grade 8 Mistakes
- Using x2 – x1 in the wrong order when finding slope.
- Confusing y-intercept with slope.
- Solving only one equation in a system and forgetting to find both coordinates.
- Using diameter as radius in circle or cylinder problems.
- Calling every relation a function without checking repeated inputs.
- Describing scatter plots vaguely instead of naming positive, negative, strong, weak, or no association.
Two-Week CMAS Grade 8 Review Plan
Days 1-2: Review functions from tables, graphs, equations, and stories. Days 3-4: Practice slope, y-intercept, and linear equations. Days 5-6: Solve equations and systems. Days 7-8: Review Pythagorean theorem, volume, and transformations. Days 9-10: Practice scatter plots and mixed data questions. Days 11-14: Take mixed sets and correct every missed problem by topic.
Do not wait until the final week to mix topics. Grade 8 students need practice deciding whether a problem is asking for slope, a function value, a geometric formula, or an equation.
How Parents Can Check Grade 8 Work
Grade 8 math work can look correct even when the reasoning is weak, so ask students to explain the first step. For a function problem, they should identify input and output. For a linear equation, they should identify slope and starting value. For a geometry problem, they should say which formula applies and why. For a system, they should be able to explain what the ordered pair means in the situation.
If the explanation is unclear, the next practice should be slower and more visual. Draw the graph, label the triangle, or make a table. The purpose is not to make review longer; it is to make the student’s thinking visible enough to correct.
Quick Readiness Check
A student is ready for full mixed practice when they can solve one example from each major area on the same day: a function table, a two-step equation, a slope question, a Pythagorean theorem problem, and a data display question. If one area falls apart, return to that topic for two short sessions before another full practice test.
ViewMath Colorado Grade 8 Resources
The ViewMath Colorado Grade 8 CMAS math collection includes resources for reteaching, daily practice, quizzes, and full practice tests. Use a study guide for weak topics, a workbook for repetition, and practice tests when the student is ready for timed mixed review.
The best Grade 8 preparation is not memorizing a long list of formulas. It is learning to recognize structure: rate of change, starting value, equation balance, right-triangle relationship, and data pattern. Those habits carry directly into Algebra 1.
