Distributive Property and Simplifying Algebraic Expressions

These have the the same variable and can, therefore, be combined...

• Expressions

• Distributive Property

• Additive Inverse

• Like Terms

Tags

CCSS.7.EE.A.1

2(3x - 1) + 10

• 6x + 12
• 6x + 8 
• 6x + 9
• 6x - 8 

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

5x + 8y - 3x - 15y

• 2x - 7y
• 8x + 23y
• 8x - 23y
• 2x + 7y

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Simplify the expression using the distributive property:

6(5x + 7)

• 30x + 7

• 30x + 42

• 5x + 42

• 11x + 13

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

5(a + 6)

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

4(-p - 6)

• 4p - 24
• 4p + 24
• -4p + 24
• -4p - 24

Tags

CCSS.6.EE.A.3

-2(x + 5)

• -2x + 10
• -2x - 10
• -2x + 5
• -2x - 5

Tags

CCSS.6.EE.A.3

(x - 6)4

• 24 - 4x
• 4x - 6
• x - 24
• 4x - 24

Tags

CCSS.7.EE.A.1

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Tags

CCSS.7.EE.A.1