Question

Distributive Property

1. What is the value of x?

4(6 + 7) = 4 • 6 + x • 7

x =

Can someone please help me? I dont really understand.

Which expressions show how 6 • 45 can be rewritten using the distributive property? 2. Choose all answers that are correct.

   A. 6 • 40 + 6 • 5    B. 6 • 40 − 6 • 5    C. 6 • 50 – 6 • 5    D. 6 • 50 + 5I keep getting a low score on my quiz 3.  Simplify: 6m + 7n + 5m – 3n    A. 15mn    B. 11m + 4n    C. m + 10n    D. 11m + 10n. 4.  Which are the like terms in 2y3 – 4y2 + y + y3?    A. 4y2and y    B. 2y3, –4y2, and y3    C. 2y3and y3    D. They are all like terms. 5.  Simplify: 4x3 – 3x2 + x + 3x3    A. 5y3    B. 7x6– 3x2+ x    C. 4x3– 3x2+ x + 3x 3  (the expression cannot be simplified)    D. 7x3– 3x2+  x

Answer 1

1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
B. 11m + 4n
4. 2y^3 - 4y^2 + y + y^3, exponents tell you what are like terms
C. 2y^3 and y^3
5. 4x^3 - 3x^2 + x + 3x^3, combine like terms, then put in descending order
D. 7x^3 - 3x^2 + x