Exercise 2: Concepts

4(9t) = (4 • 9)t = 36t

-6y • 2 = -6 • 2 • y = -12y

1. 2(x + 4) = 2x 1($) 8
2. 2(x - 4) = 2x 2($) 8
3. -2(x + 4) = -2x 3($) 8
4. -2(-x - 4) = 2x 4($) 8

1. 4m + 6m = (1($) + 2($))m = 3($)m
2. 30n² - 50n² = (4($) - 5($))n² = 6($)n²
3. 12 + 32d + 15 = 32d + 7($)

Like terms can be combined by adding or subtracting the 1($) of the term and keeping the same 2($) with the same exponents.

5(2x)

Do not change the order of coefficients and variables

5(2x)

Do not change the order of coefficients and variables

5 + 2x

5 + 2x

6(-7x)

6(-7x)

6 -7x

6 -7x

2(3x)(3)

2(3x)(3)

2 + 3x + 3

Start with the terms that do not have variables and do not change the order of coefficients and variables. 

2 + 3x + 3

Start with the terms that do not have variables and do not change the order of coefficients and variables. 

-(x + 10) = -x 1($) 10