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 quiz3. 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(the expression cannot be simplified)  D.7x3– 3x2+ x



Answer :

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