Download Combining Like-Terms and Distributive Property with Integers

Combining Like-Terms
and Distributive Property
Objective: SWBAT simplify expressions by
combining like-terms and using the
distributive property.
Vocabulary
Expressions an algebraic statement that contains
numbers, variables, and operation
symbols – NO equal sign
Combine
means to add or subtract two or more
terms
Like–Terms terms with the same variable, raised to
the same exponent
Distributive
Property
means to multiply a number to EVERY
number inside a set of parentheses
Practice Problems
1. 4x + 2y -2x + 4y
4x – 2x
2.
3x – 5x
+2y + 4y
-4x + 3x – 2x
-x – 2x
-3x
+5y – 10y
-2x – 5y
2x + 6y
3.
3x + 5y – 5X – 10y
4.
-2x + 4y – 8y + 6x
-2x + 6x
+4y – 8y
4x – 4y
5.
4(2x + 3)
8x + 12
7.
-2(3x - 8)
-6x + 16
6.
-7(2x – 3y + 4)
-14x + 21y – 28
8. 4(3a - 2) + 2(a + 5)
12a – 8 + 2a + 10
14a + 2
9. -4(2a - 3) -2(3a - 5)
-8a + 12 – 6a + 10
-14a + 22
10.
5(-2x - 3) – (2x - 2)
-10x – 15 – 2x + 2
-12x – 13