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Michigan · Grade 8

Michigan 8th Grade Math Practice (PSAT 8/9 Style)

Grade 8 math practice written for Michigan's actual testing situation, where the state assessment is a college-readiness test in a different format from the M-STEP students took in earlier grades.

Why Michigan is different

This is the sharpest break in any state's testing sequence. Michigan eighth graders do not sit an M-STEP mathematics test like they did the year before — they sit a college-readiness assessment instead. The mathematics is still grade-appropriate, but almost everything around it changes: the item style is closer to a college entrance exam, the questions are more heavily contextual, sections are strictly timed, and calculator rules differ from what students are used to. A generic grade 8 worksheet prepares the content and none of the format.

At a glance

Grade 8 assessmentA college-readiness test rather than M-STEP mathematics
Format shiftTimed sections and college entrance exam item style
Earlier gradesGrades 3 through 7 are assessed by M-STEP mathematics
High schoolA college entrance exam is used within the Michigan Merit Examination
OutputPrintable PDF, worked answer key, equivalent A/B versions

What this course covers in Michigan

Heart of algebra

Linear equations, inequalities and systems, presented far more often as worded scenarios than as bare equations. Students who can solve but cannot translate lose marks here first.

Problem solving and data analysis

Ratios, rates, percentages, proportional reasoning and reading data from tables and graphs. This is the largest content area and the most sensitive to careless reading.

Passport to advanced math

Introductory work with quadratic and other nonlinear expressions, function notation and equivalent forms. Lighter at this level than in later exams but present.

Geometry and pacing

Angle relationships, triangles, the Pythagorean theorem, area and volume. Just as important is pacing practice, since timed sections are new to most Michigan eighth graders.

Example questions

Easy1. If 4x - 9 = 23, what is the value of x + 5?
Easy2. A line has the equation y = -2x + 9. Find the value of x when y = 1.
Med3. The ratio of boys to girls in a class is 3:5. If there are 40 students, how many are girls?
Hard4. Solve for all values of x: the absolute value of (x - 3) equals 7.

Answer key preview

1. 13

4x = 32 so x = 8, and 8 + 5 = 13.

2. x = 4

1 = -2x + 9, so -2x = -8 and x = 4.

3. 25 girls

The ratio has 8 parts, so each part is 5 students, and 5 x 5 = 25.

4. x = 10 or x = -4

Either x - 3 = 7, giving x = 10, or x - 3 = -7, giving x = -4.

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Related Michigan pages

Questions Michigan teachers ask

Why don't Michigan 8th graders take M-STEP math?
Michigan uses a college-readiness assessment for grade 8 mathematics instead of M-STEP, which makes grade 8 the point where the format students have practised for several years changes substantially.
What should I change about how I prepare students?
Keep teaching the grade 8 content, but add timed practice and more heavily worded problems. The mathematics is familiar; the pacing and the question style are what catch students out.
Is this official practice material?
No. These are original items written in a comparable style and at grade-appropriate rigor. MathQuizily is not affiliated with or endorsed by the Michigan Department of Education or the College Board.

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