Every 8th grade math test on Math Made Easy ships with an answer key and a scoring guide, so a teacher or parent can grade it in minutes. The 18 tests match the chapters, from rational and irrational numbers to two-way tables, and follow the Grade 8 Common Core standards.
Function tests ask students to compare rates of change across a table, a graph and an equation, as the Grade 8 standards require.
Tests in this set include
- Square Roots and Cube Roots
- Solving Linear Equations
- Translations, Reflections and Rotations
- The Pythagorean Theorem
- Lines of Best Fit and Linear Models
Take a test after the lesson and worksheet for the same chapter, working alone and without the key. Then use the scoring guide to see which 8th grade math problems lost points, and finish with the chapter quiz to confirm the fix. Domains tested in 8th grade math: The Number System, Expressions & Equations, Functions, Geometry, and Statistics & Probability. Chapters such as integer exponents and systems of equations make good checkpoints.
Chapter 1 · Grade 8 · 8.NS.A.1, 8.NS.A.2
Rational and Irrational Numbers Explained
Tell rational from irrational numbers, turn repeating decimals into fractions, and trap square roots between decimals. You will see that the square root of 2 lies between 1.4 and 1.5 and place it on a number line. Work through the irrational numbers lesson, test yourself on the worksheet with its answer key, and finish with the quiz and the scored test.
- Rational or irrational
- Repeating decimals
- Estimating roots
Chapter 2 · Grade 8 · 8.EE.A.1
Laws of Integer Exponents Made Simple
Apply the product, quotient, and power rules, plus zero and negative exponents, to build equivalent expressions. A product like 3^2 x 3^-5 collapses to 3^-3, which equals 1/27. Mathbot suggests the lesson first, then the worksheet with answer key, and finally the quiz and test to prove your integer exponents skills.
- Exponent rules
- Negative exponents
- Equivalent expressions
Chapter 3 · Grade 8 · 8.EE.A.2
Solving With Square and Cube Roots
Solve x^2 = p and x^3 = p, recognize perfect squares and cubes, and know why the square root of 2 is irrational. A square garden of 49 square feet has sides of 7 feet. Every page pairs a lesson with a worksheet and answer key, plus a quiz and a test whose scoring guide shows where roots points were earned.
- Solving x^2 = p
- Perfect cubes
- Roots in context
Chapter 4 · Grade 8 · 8.EE.A.3, 8.EE.A.4
Scientific Notation for Huge and Tiny Numbers
Write huge and tiny quantities as a single digit times a power of 10, compare their sizes, and calculate with them. Earth is about 9.3 x 10^7 miles from the Sun, and you will choose sensible units. Read, solve the worksheet, grade it with the answer key; the quiz is a quick check on scientific notation, and the test comes with a scoring guide.
- Scientific notation
- Comparing magnitudes
- Computing with powers of 10
Chapter 5 · Grade 8 · 8.EE.B.5, 8.EE.B.6
Slope and Proportional Relationships on Graphs
Graph proportional relationships with the unit rate as slope, and use similar triangles to see why slope never changes along a line. You will compare y = mx and y = mx + b, like two cars at different speeds. Learn slope in the lesson, build speed on the worksheet, correct mistakes with the answer key, and confirm mastery with the quiz and test.
- Slope as unit rate
- Similar triangles
- y = mx + b
Chapter 6 · Grade 8 · 8.EE.C.7a, 8.EE.C.7b
Solving Multi-Step Linear Equations
Solve multi-step equations with rational coefficients, the distributive property, and variables on both sides. You will also classify equations as having one, none, or infinitely many solutions, as in 3(x + 2) = 3x + 6. After the lesson, the worksheet and answer key let you fix errors in linear equations before you attempt the quiz and the test.
- Variables on both sides
- Distributing
- Number of solutions
Chapter 7 · Grade 8 · 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c
Solving Systems of Linear Equations
Find where two lines meet by graphing, substitution, or simple elimination, and recognize parallel lines by inspection. A gym charging $20 plus $5 a visit versus $10 plus $7 a visit meets at five visits. Take the quiz first to see what you know about systems, then study the lesson, finish the worksheet, and use the test scoring guide.
- Solving by graphing
- Substitution
- Elimination
Chapter 8 · Grade 8 · 8.F.A.1, 8.F.A.2, 8.F.A.3
Understanding Functions and Their Graphs
Recognize that a function gives exactly one output for each input, in tables, mappings, graphs, and equations. You will compare a linear function y = mx + b with a nonlinear one such as the area of a square. Do the lesson, then the worksheet and answer key, then the scored test on functions; the short quiz gives a fast check on the way.
- Function definition
- Representations
- Linear vs nonlinear
Chapter 9 · Grade 8 · 8.F.B.4, 8.F.B.5
Modeling Real Situations With Linear Functions
Build a linear function from a description, two points, a table, or a graph, and interpret its rate of change and initial value. A plant 4 inches tall that grows 2 inches a week gives h = 2w + 4. Lesson first, worksheet next: the answer key confirms each linear models result, and the quiz and test with scoring guide close the chapter.
- Rate of change
- Initial value
- Writing a model
Chapter 10 · Grade 8 · 8.G.A.1, 8.G.A.3
Moving Shapes with Translations, Reflections, Rotations
Move figures with translations, reflections across the axes, and rotations of 90, 180, and 270 degrees about the origin, noting what stays unchanged. Reflecting (3, 2) over the y-axis gives (-3, 2). Read the lesson on rigid motions, solve the worksheet and check it with the answer key, then take the quiz and the test.
- Translations
- Reflections
- Rotations
Chapter 11 · Grade 8 · 8.G.A.2, 8.G.A.3, 8.G.A.4
Congruent and Similar Figures Through Dilations
Show figures are congruent through rigid motions and similar through dilations with scale factor k. A dilation about the origin sends (2, 3) to (6, 9) when k = 3, and you will describe the whole sequence. Work through the congruence and similarity lesson, test yourself on the worksheet with its answer key, and finish with the quiz and the scored test.
- Congruence
- Dilations
- Similar figures
Chapter 12 · Grade 8 · 8.G.A.5
Angle Relationships in Triangles and Parallel Lines
Use the triangle angle sum, the exterior angle theorem, and the angle pairs made by a transversal across parallel lines, and spot similar triangles by angle-angle. If two angles measure 48 and 67 degrees, the third is 65. Mathbot suggests the lesson first, then the worksheet with answer key, and finally the quiz and test to prove your angles in triangles and lines skills.
- Triangle angle sum
- Transversal angles
- Angle-angle similarity
Chapter 13 · Grade 8 · 8.G.B.6, 8.G.B.7
The Pythagorean Theorem and Its Converse
Understand a proof of a^2 + b^2 = c^2 and its converse, then find missing sides in two and three dimensions. A 10-foot ladder whose base is 6 feet from a wall reaches 8 feet up. Every page pairs a lesson with a worksheet and answer key, plus a quiz and a test whose scoring guide shows where the Pythagorean Theorem points were earned.
- Pythagorean proof
- Missing sides
- 3D applications
Chapter 14 · Grade 8 · 8.G.B.8
Finding Distance Between Points on a Grid
Turn the Pythagorean Theorem into a distance tool between any two points on a grid, and find perimeters of figures drawn there. The distance from (1, 2) to (5, 5) is exactly 5 units. Read, solve the worksheet, grade it with the answer key; the quiz is a quick check on distance on a grid, and the test comes with a scoring guide.
- Distance between points
- Right triangles on grids
- Perimeter
Chapter 15 · Grade 8 · 8.G.C.9
Round Solids: Cylinder, Cone, Sphere Volume
Use V = pi r^2 h, V = (1/3) pi r^2 h, and V = (4/3) pi r^3, and give answers both in terms of pi and as decimals with 3.14. A can with radius 3 and height 10 holds 90 pi cubic units. Learn volume formulas in the lesson, build speed on the worksheet, correct mistakes with the answer key, and confirm mastery with the quiz and test.
- Cylinder volume
- Cone volume
- Sphere volume
Chapter 16 · Grade 8 · 8.SP.A.1
Reading Scatter Plots and Spotting Patterns
Build scatter plots and read them for clusters, outliers, positive or negative association, and linear or nonlinear patterns. Plot hours studied against quiz scores for ten students and describe what you see. After the lesson, the worksheet and answer key let you fix errors in scatter plots before you attempt the quiz and the test.
- Constructing scatter plots
- Association
- Outliers
Chapter 17 · Grade 8 · 8.SP.A.2, 8.SP.A.3
Fitting Lines to Data and Making Predictions
Draw a line that fits a scatter plot, judge how well it fits, write its equation, and read the slope and intercept in context. Use it to predict, for example, a test score after 5 hours of study. Take the quiz first to see what you know about lines of best fit, then study the lesson, finish the worksheet, and use the test scoring guide.
- Fitting a line
- Interpreting slope
- Making predictions
Chapter 18 · Grade 8 · 8.SP.A.4
Two-Way Tables and Relative Frequencies
Organize two categories of data in a frequency table and compute relative frequencies by row or column. You will judge whether there is an association, such as between pet type and grade level in a survey of 100 students. Do the lesson, then the worksheet and answer key, then the scored test on two-way tables; the short quiz gives a fast check on the way.
- Two-way tables
- Relative frequency
- Association
Grade 8 Math Tests with Answer Keys and Scoring Guides: frequently asked questions
Does every 8th grade math test have an answer key and a scoring guide?
Yes. All 18 8th grade math tests come with a separate answer key and a scoring guide that lists the points for each problem. Partial credit is described for correct setup on problems about systems of equations.
What does a 8th grade math test cover?
Each test covers one chapter, such as integer exponents, systems of equations or distance in the coordinate plane. 8th grade math problems start with direct skills and finish with a multi-step or context problem.
How is a 8th grade math test scored?
The 8th grade math scoring guide assigns points to each problem and shows what earns full and partial credit. Points are awarded for correct setup on integer exponents and for the final answer.
When should a student take a 8th grade math test?
Take it after finishing the lesson and the worksheet for the same 8th grade math chapter, with the answer key closed. Rework each missed problem on distance in the coordinate plane before moving on.
Are the 8th grade math tests aligned with standards?
The tests align with the Grade 8 Common Core State Standards for Mathematics, which organizes the course into The Number System, Expressions & Equations, Functions, Geometry, and Statistics & Probability. Each 8th grade math test is tagged with codes such as 8.EE.C.7, 8.F.B.4 and 8.G.B.7.