Simplifying algebraic expressions

Find the greatest common divisor.

(10, 50)

• 1

• 2

• 5

• 10

Combine and simplify by subtracting the expressions.

(6v + 5) - (7v - 2)

What property adds a number and its opposite to get zero?

• Additive Inverse
• Additive Identity
• Commutative
• Substitution

Simplify the following expression by combining like terms:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

• 11k+12

• 3k+6

• 3k-6

• 11k+6

Answer explanation

3w-w=2w

6+7=13

so our whole expression is

2w+13

 $\left(2x\ +\ 5\right)\ +\ \left(-5x\ -\ 2\right)$  

Group the like terms 

•  $\left(2x\ -\ 5x\right)\ +\ \left(5\ -\ 2\right)$  

•  $\left(2x\ -\ 2\right)\ +\ \left(-5x\ +\ 5\right)$  

• The like terms are already grouped together.

Combine like terms: 7m + 3n - 2m + 4

• 5m + 3n + 4

• 9m + 3n

• 5m + 7n

• 5m + 3n - 4

Which property states that if 10a = 2b and 2b = c, then 10a = c?

• Substitution Property
• Reflexive Property
• Symmetric Property
• Transitive Property

Simplify the expression: 3x + 2x - 6

• 5x - 6

• x

• 6x

• x - 6