Question

1. evaluate (solve) each expression if $n = 7$, $z = 1$ and $x = 4$ (use substitution).

a. $10x - 3n$
b. $6z + 2n - z^4$

1. are the following expressions equivalent? simplify both expressions to justify your answer.

$20x - 6 + 4x - 10$ and $4(5x - 4)$

Explanation:

For Question 7a:

Step1: Substitute x=4, n=7

$10(4) - 3(7)$

Step2: Calculate multiplication first

$40 - 21$

Step3: Compute final subtraction

$40 - 21 = 19$

Step1: Substitute z=1, n=7

$6(1) + 2(7) - (1)^4$

Step2: Calculate terms individually

$6 + 14 - 1$

Step3: Compute final sum/difference

$6+14=20; 20-1=19$

Step1: Simplify first expression

Combine like terms:
$20x + 4x - 6 - 10 = 24x - 16$

Step2: Simplify second expression

Use distributive property:
$4(5x) - 4(4) = 20x - 16$

Step3: Compare simplified forms

$24x-16
eq 20x-16$

Answer:

19

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For Question 7b: