8th Grade Adding and Subtracting Polynomials Quizzes

Begin by having students identify terms with matching variable parts and exponents, then combine only their coefficients. Use color-coding to group like terms before introducing subtraction; for example, rewrite (3x² + 2x) − (x² − 5x) as 3x² + 2x − x² + 5x so the sign change is visible.

Use a short progression: sort like and unlike terms, combine monomials, add binomials and trinomials, then subtract expressions that require distributing a negative sign. Include a few error-analysis problems so students must explain why terms such as 4x² and 3x cannot be combined.

Grade 8 students often combine unlike terms, add exponents instead of coefficients, or change only the first sign after a subtraction symbol. Ask them to mark every term affected by the negative sign and check that each resulting term keeps its original variable and exponent.

Assign a quiz as a digital quiz on Wayground or download the printable PDF for paper practice. Every quiz has a complete answer key, and paper submissions can be scanned or captured for grading with the Wayground for Teachers app.

Common Core develops this work from earlier practice with equivalent expressions and the distributive property. Combining like terms in polynomial sums and differences prepares students to multiply, factor, and solve equations involving polynomial expressions.

Give students who lose track of signs a version with larger text or wider spacing, and use reduced answer choices in digital practice to lower cognitive load. Students ready for extension can work with more terms or multiple variables while classmates practice one-variable binomials.

Polynomial addition and subtraction commonly begin in middle-school algebra and are appropriate for Grade 8 when students already understand variables, exponents, like terms, and the distributive property.