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  1. 1. Brianna's thinking is incorrect because of course, when x is 0, the expression will equal whatever value isn't an x term. To find equivalent expression, you actually need to find which expressions have the same amount of x terms and the same value.

    2. Expressions A and C are equivalent.

    3. Expression A can be simplified, as you can do 9x - 3x = 6x, so your final expression would be 6x - 4. Expression C can also be simplified with 5x + x = 6x, which can then also be written as 6x - 4. This means both expressions have the same amount of x terms, and the same value, so they are equivalent.

    I hope this helps!

  2. The two fractions equivalent to eachother are 2/3 and 6/9

    Step-by-step explanation:

    These fractions are equivalent because 6/9 can be reduced into 2/3. Also 6 is a multiple of 2 and 9 is a multiple of 3.

  3. A and C are equivalent.

    Step-by-step explanation:

    When you simplify the expression, you find that only A and C simplify to make 6x-4

  4. 2/3 and 6/9

    Step-by-step explanation:

    you can just ÷ the fractions to turn them to decimals

    2÷3=0.6666666667 and 6÷9=0.6666666667 they are the same so they are equivalent.

  5. Briana's thinking is incorrect because the numbers are different when you substitute x with numbers other than 0.

    the two equations that are equivalent to each other are,

    5x+x−4 and 9x-3x-4

    Step-by-step explanation:

    Expression A: 9x−3x−4

    ​Expression B: 12x−4

    ​Expression C: 5x+x−4

    First I will substitute x for each of the equations.

    9x-3x-4

    when x equals: , then y equals:

    1                        =        9(1)-3(1)-4= 2

    2                       =         9(2)-3(2)-4=8

    3                       =      9(3)-3(3)-4= 14

    Now for 12x-4

    when x equals: , then y equals:

    1                        =        12(1)-4=  8

    2                    =         12(2)-4= 20

    3                       =      12(3)-4=  32

    And for the final equation:

    5x+x−4

    when x equals: , then y equals:

    1                        =        5(1)+(1)−4= 2

    2                       =         5(2)+(2)−4 = 8

    3                       =      5(3)+(3)−4=14

    Based on this you can now see that the two equations that are equal are:

    5x+x−4 and 9x-3x-4

    ~CaityConcerto

  6. 2/3 and 6/9

    Step-by-step explanation

    If the numbers are divisible by the corresponding denominator and numerators then the fractions will be equivalent.

  7. Expressions A and C are equivalent.

    Step-by-step explanation:

    Expression A: 9x−3x−4   Combine like terms    6x -4

    ​Expression B: 12x−4   There are no terms to combine  12x-4

    ​Expression C: 5x+x−4  Combine like terms   6x -4

    Brianna only looked at one particular value for x.  She must look at all values for x.

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