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In Mathematics / Middle School | 2014-05-10

Evaluate the expression using the given value of the variable:

\[ z \div 2 - 4z + 3(z - 3) \text{ when } z = 8 \]

A. \(-17\)
B. \(-13\)
C. \(-7\)
D. \(-1\)

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Solve for \( x \):

\[ 3 \cdot 4 - 3 \cdot 7 = 3(x - 7) \]

A. \(4\)
B. \(-10\)
C. \(6\)
D. \(-3\)

Asked by mjchey

Answer (2)

z : 2 − 4 z + 3 ( z − 3 ) = z ⋅ 2 1 ​ − 4 z + 3 z − 9 = − 2 1 ​ z − 9 z = 8 − 2 1 ​ z − 9 = − 2 1 ​ ⋅ 8 − 9 = − 4 − 9 = − 13 A n s w er : B . − 13
3 ⋅ 4 − 3 ⋅ 7 = 3 ( x − 7 ) 12 − 21 = 3 x − 21 3 x = 12 − 21 + 21 3 x = 12 / : 3 x = 4 A n s w er : A . 4

Answered by Lilith | 2024-06-10

The evaluation of the expression for z = 8 results in − 13 , and the solution for x is 4 . The chosen options are B and A respectively.
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Answered by Lilith | 2024-11-14