Idaho ISAT Grade 8 Math Free Worksheets: 72 Free PDF Worksheets, One Skill at a Time

Eighth grade is the year math quietly raises the bar. For a long stretch it has been about arithmetic — compute carefully, get the number, move on. Then an Idaho student hits a unit on functions and the question changes shape. It is no longer “what is the answer” but “what is the rule that produces every answer.” Slope becomes a rate of change. An equation can have one solution, no solution, or infinitely many. That is a real shift in thinking, and nearly every student feels it land.

The geometry pivots in the same direction. Eighth grade brings the Pythagorean theorem, transformations on the coordinate plane, and the volume of cylinders, cones, and spheres — relationships to reason about rather than formulas to recite. And underneath it all sits a deeper understanding of the real number system: irrational numbers, scientific notation, and the laws of exponents that keep huge and tiny numbers manageable.

These worksheets were built for that exact part of the year. Whether your student is in Boise, Meridian, Nampa, or Idaho Falls, they offer one thing consistently — a single clear skill at a time, with enough practice to make it hold.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the Idaho Mathematics Standards for Grade 8. Every file does one job and nothing more — so a student practicing systems of equations is not also being tested on scientific notation, and a student working through volume is not getting sidetracked by box plots. That tight focus is intentional, and it is what makes the practice pay off.

Each PDF opens with a one-page Quick Review that explains the skill in plain language and includes a fully worked example. Twenty practice problems follow, climbing from straightforward to genuinely tough, plus four word problems that set the skill in a real situation. The final page is a student-facing answer key — not just answers, but short, friendly explanations a student can read on their own and learn from.

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, 8.EE.C.7] multi-step solving: distribute, combine, isolate
• Solving Systems of Two Equations — [8.EE.C, 8.EE.C.7, 8.EE.C.8] find the point two lines share by substitution or elimination
• Solving Real Problems with Systems — [8.G.C, 8.G.C.9] 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.1] 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, 8.G.A.1] 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

You do not need a plan that runs all year. A steady weekly rhythm beats a weekend scramble every time. Pick two afternoons — one mid-week, one on a relaxed weekend day — and treat each PDF as a single sitting. Most take fifteen to twenty minutes, short enough that a worn-out eighth grader will still get started.

A pairing that works well: do a skill, then do the skill that builds on it. Run Pythagorean Theorem one day and Applying the Pythagorean Theorem the next, and the second worksheet feels like a natural extension instead of a new mountain. The same goes for Solving Linear Equations in One Variable before Solving Systems of Two Equations, or What Is a Function? before Comparing Two Functions.

Idaho is a long state with a lot of open country, and homework happens all over it — a kitchen table in Boise, a quiet room in Meridian, a desk in Nampa, a window seat in Idaho Falls with the mountains in view. Print what you need the night before. Keep the answer key set aside until the work is done, then let your student check their own thinking. That last step — reading the explanations and seeing where a step slipped — is where most of the learning actually happens.

A note about ISAT at Grade 8

Idaho students take the Idaho Standards Achievement Test (ISAT) in Mathematics in the spring. It is built on the Idaho Mathematics Standards, so the skills these worksheets practice and the skills the test measures are drawn from the same source.

The Grade 8 ISAT asks for more than clean computation. It expects a student to interpret a graph, set up an equation from a word problem, reason about a geometric figure, and decide which approach actually fits the question. It uses a mix of question types and leans heavily on the algebra-and-functions strand at the heart of eighth-grade math.

Because every PDF here is tied to a single Grade 8 standard, the spring window can serve as a checklist. If your student is solid on the Pythagorean theorem but shaky on functions, you will see it clearly and can work just those PDFs — rather than re-reviewing skills they already have down.

A short closing

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

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