Equivalent Expressions, Combining Like Terms, Distributive Property

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)

2(4 + 9w) 

• 8+9w

• 2+9

• 8+18w

• 2+9w

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

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

What is the coefficient in the expression: 94y+2?

• 2

• 4

• 94

• 94y

Write an expression to represent "the product of 3 and x"

• 3 + x

• 3x

• 3 - x

• 3 ÷ x

-(3v - 8) is the same as:

• -1(3v + 8)

• -1(-3v - 8)

• -1(3v - 8)

• 1(3v - 8)

Which expression represents the sum (3z−11)+(6−6z)?

• -3z-17

• -3z-5

• -9z-17

• 9z+17

Simplify the following expression:
2(x-4) + 2x -4

• 4x + 4

• 4x - 12

• 4x - 8

• 4x - 4

Simplify.

3x - 1 + 7x + 5

• 10x - 4

• -4x - 4

• 10x + 4

• -4x + 4

The number before a variable is the _____.

• term

• constant

• coefficient

• variable