This document provides examples of using the distributive property and combining like terms in algebraic expressions. Students are asked to simplify expressions using the distributive property, such as 6(x + 3), and to combine like terms, such as 4x + 6x - x. The document contains multiple examples for students to practice these basic algebraic skills.

1. Adding like terms Adding like terms
Distributive Property Distributive Property
1. Simplify, using the distributive 1. Simplify, using the distributive
property: property:
A. 6( x + 3) ______ A. 6( x + 3) ______
B. 4( x + 5) ______ B. 4( x + 5) ______
C. 7( x − 1) _______ C. 7( x − 1) _______
D. 5(2 x − 4) ______ D. 5(2 x − 4) ______
E. 6( x + 2 y + 7) __________ E. 6( x + 2 y + 7) __________
F. 8(5 x + 4 y ) __________ F. 8(5 x + 4 y ) __________
G. 3(2a + 4b − c) __________ G. 3(2a + 4b − c) __________
2. Combine like terms: 2. Combine like terms:
A. 4 x + 6 x − x ________ A. 4 x + 6 x − x ________
B. 10 x + x + x + x ______ B. 10 x + x + x + x ______
C. 5 x + 6 y + 3x + y __________ C. 5 x + 6 y + 3x + y __________
D. 7 x − x − x − x _______ D. 7 x − x − x − x _______
E. 8 x + 4 + 5 x + 1 ________ E. 8 x + 4 + 5 x + 1 ________
F. 6 x + 6 y + z + x + y + z __________ F. 6 x + 6 y + z + x + y + z __________