Washington SBAC Grade 8 Math Free Worksheets: 72 Free Printable Worksheets with Step-by-Step Keys

There is a moment, usually a few weeks into eighth grade, when a Washington student looks up from their math and senses that the ground has moved. The problems are not just longer — they are asking for something else. Eighth grade is where arithmetic becomes algebra, and a student who used to be graded on the answer is now expected to understand the rule behind it: why it works, when it holds, and what it really means.

That shift runs through the whole year. Slope turns into a rate of change you read and interpret, not just a fraction you crunch. A function becomes a steady rule that takes each input to exactly one output. An equation might have a single solution, none at all, or infinitely many, and recognizing which is now a skill in its own right. Geometry moves the same direction: the Pythagorean theorem, transformations on the coordinate plane, and the volume of cylinders, cones, and spheres come in as relationships to reason through rather than formulas to memorize. And the real number system grows wider, opening up to irrational numbers, scientific notation, and the laws of exponents.

These worksheets were built for that transition. Whether your student is in Seattle, Spokane, Tacoma, or Vancouver, the idea holds steady — one clear skill at a time, with enough practice that it sets before the next concept arrives.

What’s on this page

This page collects seventy-two single-skill PDFs, each aligned to the Washington Mathematics Standards at Grade 8. The structure is intentionally narrow: one skill per file, with nothing else riding along. A student working on systems of equations is not also being quizzed on volume, and a student on scatter plots is not getting pulled toward exponent rules. That focus is what turns a weak spot into a strength.

Each PDF opens with a one-page Quick Review — the skill explained in plain language, with one example worked all the way through. After that come twenty practice problems, sequenced so they begin gently and rise to genuinely challenging, plus four word problems that drop the skill into a real situation. The final page is a student-facing answer key, written to be read alone: short, friendly explanations instead of a bare answer column.

Real Numbers

• Rational and Irrational Numbers — [8.NS.A, 8.NS.A.1] tell a fraction-able number from one whose decimal never repeats
• Turning Repeating Decimals into Fractions — [8.NS.A, 8.NS.A.1] the algebra trick that turns 0.272727… into a clean fraction
• Estimating Irrational Numbers — [8.NS.A, 8.NS.A.2] pin a root like √20 between two whole numbers, then closer
• Estimating Expressions with Irrational Numbers — [8.NS.A, 8.NS.A.2] approximate whole expressions that mix roots and π
• Personal Financial Literacy — [8.PFL.1] real-money math: budgets, balances, and simple percent work
• Prime Factorization with Exponents — [8.NS.1] break a number all the way down and write it with exponents
• Density of Real Numbers — [8.NS.1] there is always another number between any two — find it

Exponents, Roots & Scientific Notation

• Properties of Integer Exponents — [8.EE.A, 8.EE.A.1] product, quotient, power, zero, and negative-exponent rules
• Square Roots and Cube Roots — [8.EE.A, 8.EE.A.2] undo a square or a cube, including the ± on x² equations
• Understanding Scientific Notation — [8.EE.A, 8.EE.A.3] move the decimal the right way for huge and tiny numbers
• Operations with Scientific Notation — [8.EE.A, 8.EE.A.4] multiply, divide, add, and subtract without losing the exponent
• Order of Operations with Radicals — [8.EE.2] where the radical bar fits in PEMDAS — it groups like parentheses

Linear Equations and Inequalities

• Graphing Proportional Relationships — [8.EE.B, 8.EE.B.5] read the unit rate straight off a proportional graph
• Slope as a Rate of Change — [8.EE.B, 8.EE.B.5] slope is just rise over run — a real-world rate
• Slope and the Equations of a Line — [8.EE.B, 8.EE.B.6] build y = mx + b from a slope and a point
• Solving Linear Equations in One Variable — [8.EE.C.7a, 8.EE.C.7b, 8.EE.C.8b] multi-step solving: distribute, combine, isolate
• Solving Systems of Two Equations — [8.EE.C.8a, 8.EE.C.8b] find the point two lines share by substitution or elimination
• Solving Real Problems with Systems — [8.EE.C, 8.EE.C.8, 8.EE.C.8c] turn a word problem into two equations and solve it
• Solving Linear Inequalities — [8.EE.7] solve like an equation — but flip the sign when you divide by a negative
• Multiplying Linear Expressions and Factoring — [8.EE.C.7b] distribute to expand, pull out a common factor to undo it
• Graphing Linear Inequalities in Two Variables — [8.EE.8] boundary line, solid or dashed, then shade the right side
• Parallel and Perpendicular Lines — [8.EE.6] equal slopes for parallel, negative reciprocals for perpendicular
• Point-Slope and Standard Form — [8.EE.6] two more ways to write a line — and when each one helps
• Literal Equations — [8.EE.7] solve a formula for a different letter
• Absolute Value Equations and Inequalities — [8.EE.7] split into two cases — and read ‘and’ vs ‘or’ correctly
• Equations with Special Solutions — [8.EE.7] spot ‘no solution’ and ‘all real numbers’ before you waste time

Functions and Sequences

• What Is a Function? — [8.F.A, 8.F.A.1] every input gets exactly one output — and how to check
• Reading Function Values — [8.F.A, 8.F.A.1] evaluate f(x) and read values from tables and graphs
• Comparing Two Functions — [8.F.A, 8.F.A.2] compare functions given as equations, tables, and graphs
• Linear vs. Nonlinear Functions — [8.F.A, 8.F.A.3] constant rate of change means linear — everything else does not
• Building Linear Functions — [8.F.B, 8.F.B.4] write the function from a description, a table, or two points
• Sketching and Describing Function Graphs — [8.F.B, 8.F.B.5] match a graph’s shape to a story: increasing, flat, falling
• Domain and Range of a Function — [8.F.1] the inputs you may use and the outputs you get back
• Arithmetic Sequences — [8.F.4] add the same step each time — and find the nth term
• Geometric Sequences — [8.F.4] multiply by the same ratio each time — and find the nth term

Geometry

• Rotations, Reflections, and Translations — [8.G.A.1a, 8.G.A.1b, 8.G.A.1c] the three rigid motions and what each does to a figure
• Congruent Figures — [8.G.A, 8.G.A.2] same size and shape — and the moves that prove it
• Transformations on the Coordinate Plane — [8.G.A, 8.G.A.3] apply transformation rules to coordinates
• Similarity and Dilations — [8.G.A, 8.G.A.4] scale a figure up or down and keep its shape
• Angles in Triangles and Parallel Lines — [8.G.A.5] the angle sum and the parallel-line angle pairs
• Pythagorean Theorem — [8.G.B, 8.G.B.6, 8.G.B.7] a² + b² = c² for any right triangle
• Distance with the Pythagorean Theorem — [8.G.B, 8.G.B.8] find the distance between two points on the plane
• Volume of Cylinders, Cones, and Spheres — [8.G.C, 8.G.C.9] the three curved-solid volume formulas, side by side
• Angle Relationships — [8.G.B, 8.G.B.7] complementary, supplementary, vertical, and adjacent angles
• Surface Area of Prisms, Cylinders, and Pyramids — [8.G.9] add up every face — nets make it visible
• Volume of Pyramids — [8.G.9] one-third of the matching prism
• Composite Figures: Area and Perimeter — [8.G.9] break an odd shape into shapes you already know
• Interior Angles of Polygons — [8.G.A.5] the (n − 2) × 180° rule for any polygon
• Triangle Inequality Theorem — [8.G.5] which three lengths can actually close into a triangle
• Surface Area of Spheres — [8.G.9] the 4πr² formula and where it shows up
• Arc Length and Area of Sectors — [8.G.9] a slice of a circle — its curved edge and its area
• Cross Sections of 3D Figures — [8.G.9] the 2D shape you get when you slice a solid
• Parallel Lines and Transversals — [8.G.A.5] name and use every angle pair a transversal creates
• Applying the Pythagorean Theorem — [8.G.7] real-world right-triangle problems: ladders, ramps, diagonals
• Volume of Cones and Spheres — [8.G.C, 8.G.C.9] focused practice on the two trickiest volume formulas

Statistics and Probability

• Scatter Plots — [8.SP.A, 8.SP.A.1] read clustering, outliers, and the direction of a trend
• Fitting a Line to Data — [8.SP.A, 8.SP.A.2] draw a trend line and find its slope and intercept
• Using a Linear Model — [8.SP.A, 8.SP.A.3] use the trend line to predict and to interpret slope
• Two-Way Tables — [8.SP.A, 8.SP.A.4] organize categorical data and read relative frequencies
• Mean Absolute Deviation — [8.SP.4] measure how spread out a data set really is
• Probability: Simple and Compound — [8.SP.4] single-event probability and combining events
• Counting Principle and Permutations — [8.SP.4] count outcomes by multiplying — and when order matters
• Box Plots and IQR — [8.SP.4] the five-number summary, the box, and the spread of the middle
• Random Sampling — [8.SP.4] why a fair sample beats a biased one, and how to scale up
• Effect of Data Changes — [8.SP.4] what adding or scaling values does to mean, median, and range
• Probability of Compound Events — [8.SP.4] and/or events, with and without replacement

Financial Literacy

• Simple Interest — [8.PFL.1] I = Prt — interest that grows on the original amount only
• Compound Interest — [8.PFL.2] interest that earns interest, period after period
• Percents: Tax, Discount, and Markup — [8.PFL.3] the everyday percent problems behind every receipt
• Cost of Credit and Loans — [8.PFL.4] what borrowing really costs once interest is counted
• Payment Methods — [8.PFL.5] cash, debit, credit, and checks — the math and the trade-offs
• Saving for College — [8.PFL.6] set a goal, plan a monthly amount, and let growth help

How to use these worksheets at home

Rhythm is what makes this work. A student who does two short PDFs a week, week after week, will be in far better shape by spring than one who tries to cram a stack into one long weekend. Choose two times your week already gives you — a weeknight after dinner, an easier morning on the weekend — and treat each worksheet as one focused sitting. Most take fifteen to twenty minutes, short enough that even a tired eighth grader will sit down with one.

Pairing worksheets so each builds on the last makes the climb easier. Run Slope as a Rate of Change, then Slope and the Equations of a Line a day later, and the second feels like a natural continuation rather than a fresh start. The same works for What Is a Function? before Reading Function Values, or Pythagorean Theorem before Distance with the Pythagorean Theorem. Each pair is a short staircase, and a staircase beats a wall every time.

Washington gives families plenty of rainy evenings that are well suited to a quiet worksheet at the table — whether that table is in a Seattle apartment, a Spokane neighborhood, or a house somewhere out past the foothills. The routine carries over either way: print the night before so morning stays calm, keep the answer key with you until the work is done, then hand it over and let your student check their own thinking. Reading the explanation behind a missed problem is where the learning actually takes hold.

A note about SBAC at Grade 8

Washington eighth graders take the Washington SBAC — Mathematics in the spring. It is built on the Washington Mathematics Standards, so the skills these worksheets practice and the skills the test measures come from the same framework.

The Grade 8 SBAC asks for more than quick computation. It is a computer-based test that expects students to interpret graphs, translate word problems into equations, reason about geometric figures, and choose the strategy that genuinely fits the problem. It uses a range of question types — including ones that ask students to show or explain their reasoning — and it leans firmly into the algebra-and-functions work that anchors eighth-grade math.

Because every PDF here targets one Washington standard, the run-up to spring works as a checklist. If your student has geometry under control but functions are still uneven, that will be clear, and you can put your time on the functions PDFs instead of re-reviewing skills they already have down.

A short closing

Eighth-grade math is a climb, but it is a steady one — a student reaches the top one skill and one afternoon at a time. Bookmark this page, print a single PDF tonight, and let your student start somewhere small and specific. Washington kids do hard things well when the next step is clear, and a worksheet on the table is about as clear as a next step gets.

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