Simplify Linear Expressions
Combining Like Terms with Integers and Decimals
Distributive Property
Distributive Property with Integers and Decimals
Simplifying Epxression: Distributive Property and Combining Like Terms
100
Add the Linear Expressions. (2x + 3) + ( 9x + 4)
11x + 12
100
Combine Like Terms: 10x + 12x
22x
100

Use the distributive property to simplify the expression. 5 ( g + 9)

5g + 45

100

Use the distributive property to simplify the expression. -2 ( k + -9)

-2k + 18

100
Simplify the expression. 4 + 9 ( a + 10)
4 + 9a + 90= 94 + 9a
200
Add the Linear Expressions. (79x + 3) + ( 4x + 89)
83x + 92
200
Combine Like Terms: -40x + -90x
-130x
200

Use the distributive property to simplify the expression. 10 ( g+ 9)

10 g+ 90

200

Use the distributive property to simplify the expression. -7 ( 7a + 6)

-49a + -42

200
Simplify the expression. 4a + -5 ( a + 10)
4a + -5a + -50= -1a+ -50= -a + -50
300
Add the Linear Expressions. (9x + -9) + ( -3x + 4)
6x + -5
300
Combine Like Terms: -19x + 20y + -5x + -10y
-24x + 10y
300

Use the distributive property to simplify the expression. 23 ( 2k + 9)

46k + 207

300

Use the distributive property to simplify the expression. -4 ( 3a + 5)

-12a + -20

300
Simplify the expression. -9 + 9 ( -a + -10)
-9 + -9a + -90= -99 + -9a
400
Add the Linear Expressions. (-2x + -3) + ( -4x + -2)
-6x + -5
400
Combine Like Terms: 1.9 x + 2.9 x + 9.0 + 1.2
4.8x + 10.2
400

Use the distributive property to simplify the expression. 23 ( 4h + 2)

92h + 46

400

Use the distributive property to simplify the expression. -6.1 ( 7 + -4)

-42.7 + 24.4= -18.3

400
Simplify the expression. 9 + 2k + 9 (4k + -2)
9 + 2k + 36k + -18= -9+ 38k
500
Add the Linear Expressions. (6x + 4) + 2( 3x + 4)
(6x + 4) + (6x + 8) = 12x + 12
500
Combine Like Terms: -9.6 + 3.4 + 24.7x + -1.4x
-6.2 + 23.3x
500

Use the distributive property to simplify the expression. (80p + 9) 8

8 ( 80p +9)= 640p + 72

500

Use the distributive property to simplify the expression. -8.2 ( -6 + -3)

49.2 + 24.6= 73.8

500
Simplify the expression. -4 + -9k + 2 ( -2k + 4)
-4 + -9k + -4k + 8= -13k +4
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