Evaluate the following expression. Let a = 4, b = -3, c = 1, x = -2, y = 3, z = ...

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October 2022 1 3 Report

Evaluate the following expression. Let a = 4, b = -3, c = 1, x = -2, y = 3, z = 2

1. 6a – 3b
2. 3ax + 2by - cz
3. 2xy + 8ab - 3y
4. 10abc + bc - y
5. 3xy + 2x - 5

Answers & Comments

$_______________________________________________$

$\mathrm{a =4}$

$\mathrm{b = -3}$

$\mathrm{c=1}$

$\mathrm{x=-2}$

$\mathrm{z=2}$

$_______________________________________________$

$\huge\green{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

$\mathrm{1)6a-3b}$

$\implies$ $\sf{6(4)-3(-3)}$

$\implies$ $\sf{24+9}$

$\implies$ ${\boxed{\sf\bold\green{33}}}$

$\mathrm{2)3ax+2by-cz}$

$\implies$ $\sf{3(4)(-2)+2(-3)(3)-(1)(2)}$

$\implies$ $\sf{-24-18-2}$

$\implies$ ${\boxed{\sf\bold\green{-44}}}$

$\mathrm{3)2xy+8ab-3y}$

$\implies$ $\sf{2(-2)(3)+8(4)(-3)-3(3)}$

$\implies$ $\sf{-12-96-9}$

$\implies$ ${\boxed{\sf\bold\green{-117}}}$

$\mathrm{4)10abc+bc-y}$

$\implies$ $\sf{10(4)(-3)(1)+(-3)(1)-3}$

$\implies$ $\sf{-120-3-3}$

$\implies$ ${\boxed{\sf\bold\green{-126}}}$

$\mathrm{5)3xy+2x-5}$

$\implies$ $\sf{3(-2)(3)+2(-2)-5}$

$\implies$ $\sf{-18-4-5}$

$\implies$ ${\boxed{\sf\bold\green{-27}}}$

$\huge\green{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

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