How many solutions does this equation have?
3x + 4 = 19
Choose an answer to see the worked solution.
Worked solutionSolving gives 3x = 15, so x = 5 -- exactly one value makes the equation true.
Grade 8 ILEARN Math Summative Practice
What Summative covers in grade 8, items to try, and the practice that goes with it.
Designed, reviewed, and checked by Greg · 25+ years in the classroom · Updated for 2026-27 · Window Apr 12 – May 7, 202720standards
200practice items
What Summative covers
20 standards, 12 marked essential. Short names in our own words.
- 8.NS.1Rational vs. irrational; decimal equivalents; repeating decimal to fraction
- 8.NS.2Comparing, plotting, and estimating with irrational numbers
- 8.NS.3Properties of integer exponents with common rational basesEssential
- 8.NS.4Multi-step real-world problems with rational numbersEssential
- 8.AF.1Solving linear equations and inequalities with rational coefficientsEssential
- 8.AF.2Classifying one/infinite/no-solution linear equations
- 8.AF.3The definition of a function; ordered pairs, tables, graphs
- 8.AF.4Qualitative graphs: increasing/decreasing, linear/nonlinear, max/minEssential
- 8.AF.5y = mx + b defines a linear function; linear vs. nonlinear
- 8.AF.6Construct a linear function; interpret rate of change and y-interceptEssential
- 8.AF.7Compare two linear functions in different representations
- 8.AF.8Approximating a system's solution by graphingEssential
- 8.GM.1Dilations, translations, rotations, reflections in the coordinate planeEssential
- 8.GM.2Volume of cones, spheres, pyramids; surface area of spheresEssential
- 8.GM.3The Pythagorean Theorem, including the 3-D box diagonalEssential
- 8.DSP.1Scatter plots: clustering, outliers, and association
- 8.DSP.2Line of best fit: interpret slope and y-intercept in contextEssential
- 8.DSP.3Compound-event probability: independent and dependentEssential
- 8.DSP.4Independent, dependent, complementary, mutually exclusive eventsEssential
- 8.DSP.5The multiplication counting principle
Try three items
Pick an answer to see the worked solution.
A tortoise walks at a constant 2 feet per minute. Which equation models its distance traveled, y, after x minutes, if it starts 3 feet from its burrow?
Choose an answer to see the worked solution.
Worked solutionA constant rate (2 ft/min) makes this linear, with slope 2 and starting value (y-intercept) 3: y = 2x + 3.
A ski slope's elevation, y, in feet, is modeled by y = -180x + 1200, where x is the number of minutes since a skier started descending. "At sea level" means the skier's elevation would be 0.
At approximately what value of x does the skier reach sea level (elevation 0), based on this model?
Choose an answer to see the worked solution.
Worked solutionSet y = 0: 0 = -180x + 1200, so 180x = 1200, and x = 1200 ÷ 180 ≈ 6.7 minutes.
Get the Summative practice
200 items · 81 pagesSummative Practice Test
Practice across every tested standard before the spring summative.
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Independent practiceIndependent practice for the Indiana ILEARN Math assessment. Not affiliated with, sponsored by, or endorsed by the Indiana Department of Education. Standard names are short summaries in our own words; see IDOE for the official text.