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gigi1103

  • one year ago

b. Write an expression equivalent to 4x + 12 using the distributive property.

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  1. gigi1103
    • one year ago
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    @texaschic101

  2. phi
    • one year ago
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    can you write 12 as 4*3 ? yes so do that 4x+4*3

  3. gigi1103
    • one year ago
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    huh?

  4. phi
    • one year ago
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    now "factor out" 4 from each term (this is the opposite of "distributing" ) for example if you had 2(x+1) you would do 2*x + 2*1 or 2x+2 to undo that we write 2x+2 as 2*x + 2*1 and then "take out" the 2 that is in both terms. that leaves (x+1) and we put the 2 out front: 2(x+1)

  5. phi
    • one year ago
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    for your problem 4x+12 we first write it as 4*x + 4*3 now "take out" the 4 and put it "out front"

  6. gigi1103
    • one year ago
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    like 4(x *3)

  7. phi
    • one year ago
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    almost. it is x+3 inside the parens

  8. gigi1103
    • one year ago
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    so 4(x+3) ?

  9. phi
    • one year ago
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    yes. as a check we can "distribute the 4" 4(x+3) = 4*x + 4*3 = 4x +12 which shows 4(x+3) means the same thing as 4x+12 we started with 4x+12 and "went backwards" and got 4(x+3)

  10. gigi1103
    • one year ago
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    so is that my answer?

  11. phi
    • one year ago
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    yes

  12. gigi1103
    • one year ago
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    thanks!!

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