Factoring Expressions Worksheet
This worksheet provides practice problems on factoring algebraic expressions for 8th-grade students, aligning with common core algebra standards.
Includes
Standards
Topics
Factoring Expressions
Name:
Date:
Score:
Read each question carefully and factor the given expressions. Show all your work.
Find the greatest common factor (GCF) for each pair of terms.
1. 12x and 18: GCF =
2. 7y² and 21y: GCF =
3. 15ab and 25a: GCF =
Factor out the greatest common monomial from each expression.
4. 5x + 10
5. 6y - 24
6. 14a² + 7a
7. Which of the following is the correct factored form of 9x + 27?
9(x + 3)
3(3x + 9)
9x(1 + 3)
9(x + 27)
8. The expression 10a - 15b can be factored as:
5(2a - 3b)
10(a - 1.5b)
5ab(2 - 3)
5(2a + 3b)
Determine if the following statements are true or false.
9. The factored form of 4x + 12 is 4(x + 3).
True
False
10. The greatest common factor of 8m and 12n is 4mn.
True
False
Factor the following expressions completely.
11. 3x²y - 6xy² + 9xy
12. 2a(a + 3) + 5(a + 3)
Related Worksheets
Infinitely Many Solutions
Explore systems of linear equations with infinitely many solutions in this Grade 8 math worksheet.
Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including identifying proportionality, calculating constants of proportionality, and solving real-world problems.
Rearranging Equations Worksheet
A Grade 8 math worksheet focused on rearranging algebraic equations to solve for different variables, including practice with various equation types.
Graphs of Polynomials Worksheet
Explore the graphs of various polynomial functions, identifying key features like roots, turning points, and end behavior for Grade 8 math students.
Pearson Square Practice
A worksheet to practice the Pearson Square method for calculating feed mixes and concentrations.
Matching Equations and Graphs
Practice matching linear equations to their corresponding graphs, focusing on slope-intercept form and visual recognition of lines.
Inductive Reasoning Practice
This worksheet helps 8th-grade students practice inductive reasoning by identifying patterns and making conjectures.
Naming Polynomials Worksheet
This worksheet helps grade 8 students practice naming polynomials based on their degree and number of terms.