Simplifying Expressions

Adding/Subtracting Linear Expressions

100

Add the Linear Expressions. (2x + 3) + ( 9x + 4)

11x + 7

200

Add the Linear Expressions. (79x + 3) + ( 4x + 89)

83x + 92

300

Add the Linear Expressions. (9x + -9) + ( -3x + 4)

6x + -5

400

Add the Linear Expressions. (-2x + -3) + ( -4x + -2)

-6x + -5

500

Subtract the Linear Expressions. (6x + 4) - (3x + 4)

(6x + 4) + (-3x - 4) = 3x 

Combining Like Terms with Integers and Decimals

100

Combine Like Terms:

 10x + 12x

22x

200

Combine Like Terms: 

-40x + -90x

-130x

300

Combine Like Terms:

 -19x + 20y + -5x + -10y

-24x + 10y

400

Combine Like Terms:

 1.9 x + 2.9 x + 9.0 + 1.2

4.8x + 10.2

500

Combine Like Terms: 

-9.6 + 3.4 + 24.7x + -1.4x

-6.2 + 23.3x

Distributive Property

100

Use the distributive property so simplify the expression. 

5 ( g + 9)

5g + 45

200

Use the distributive property so simplify the expression. 

10 ( g+ 9)

10 g+ 90

300

Use the distributive property so simplify the expression. 

23 ( 2k + 9)

46k + 207

400

Use the distributive property so simplify the expression. 

13 ( 4h + 2)

52h + 26

500

Use the distributive property so simplify the expression. 

(80p + 9) 8

8 ( 80p +9)

= 640p + 72

Distributive Property with Integers and Decimals

100

Use the distributive property so simplify the expression.

 -2 ( k + -9)

-2k + 18

200

Use the distributive property so simplify the expression. 

-7 ( 7a + 6)

-49a + -42

300

Use the distributive property so simplify the expression.

 -4 ( 3a + 5)

-12a + -20

400

Use the distributive property so simplify the expression. 

-6.1 ( 7 + -4)

-42.7 + 24.4= -18.3

500

Use the distributive property so simplify the expression. 

-8.2 ( -6 + -3)

49.2 + 24.6= 73.8

Simplifying Epxression: Distributive Property and Combining Like Terms

100

Simplify the expression. 

4 + 9 ( a + 10)

4 + 9a + 90= 94 + 9a

200

Simplify the expression. 

4a + -5 ( a + 10)

4a + -5a + -50= -1a+ -50= -a + -50

300

Simplify the expression. 

-9 + 9 ( -a + -10)

-9 + -9a + -90= -99 + -9a

400

Simplify the expression. 

9 + 2k + 9 (4k + -2)

9 + 2k + 36k + -18= -9+ 38k

500

Simplify the expression. 

-4 + -9k + 2 ( -2k + 4)

-4 + -9k + -4k + 8= -13k +4