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10a) Simplify the expression and explain each step.

12 + 3(2y – 3)
Step 1: apply distributive property
Step 2: combine like terms
Step 3: simplify

b) Factor the expression completely.

18b – 12
What is the GCF of 18 and 12? Use ladder method or listing.

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6 answers

  1. 1. a
    2. c
    3. b
    4. d
    5. a
    6. d
    7. d
    8. c
    9. d
    10. For the first question, we first use the distributive property. It states that we multiply everything within parentheses by the term outside parentheses:4(3x+2)-2 = 4(3x)+4(2)-2 = 12x+8-2Combine like terms:12x+(8-2) = 12x+6For the second question, we first find the GCF. To do this, find the prime factorization of 20 and 16:20 = 4*54 = 2*220 = 2*2*516 = 4*44 = 2*216 = 2*2*2*2For the GCF, we take the common factors; these are 2*2 = 4. This makes 4 the GCF.Factoring 4 out of 20b, we have 5b; factoring 4 out of -16 gives us -4. This gives us 4(5b-4).

    for connexus

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  2. 12 + 3(2y – 3)

    12 + 6y - 9

    3 + 6y

    I did the first one. Now you can do the second one.

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  3. # 2 is actually a. c +3

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  4. I remember doing this hard test a year ago XD hello everyone from the future and past! -p.s if yuh know dat name then... hi.

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  5. Actually the second question is A. And you should be careful, or you could get caught on here for cheating.

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  6. 18b - 12 =?

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