Complete the tables and determine if the two equations are equivalent.

• For $x=1$: $y = 2(1) - 10 = 2 - 10 = -8$
• For $x=2$: $y = 2(2) - 10 = 4 - 10 = -6$
• For $x=3$: $y = 2(3) - 10 = 6 - 10 = -4$
• For $x=4$: $y = 2(4) - 10 = 8 - 10 = -2$
• For $x=5$: $y = 2(5) - 10 = 10 - 10 = 0$

The completed table is:

Input values ($x$)	1	2	3	4	5
$y = 2x - 10$	-8	-6	-4	-2	0

1.2
To complete the table for $y = 6x + 25 - 4x - 35$, first simplify the expression, then substitute each input value of $x$.

$$y = 6x + 25 - 4x - 35$$ $$y = (6x - 4x) + (25 - 35)$$ $$y = 2x - 10$$

• For $x=1$: $y = 2(1) - 10 = 2 - 10 = -8$
• For $x=2$: $y = 2(2) - 10 = 4 - 10 = -6$
• For $x=3$: $y = 2(3) - 10 = 6 - 10 = -4$
• For $x=4$: $y = 2(4) - 10 = 8 - 10 = -2$
• For $x=5$: $y = 2(5) - 10 = 10 - 10 = 0$

The completed table is:

Input values ($x$)	1	2	3	4	5
$y = 6x + 25 - 4x - 35$	-8	-6	-4	-2	0

1.3
Is $2x - 10$ equivalent to $6x + 25 - 4x - 35$? Explain your answer.

The simplified expression $2x - 10$ is identical to the first expression $2x - 10$.

Yes, the expressions are equivalent. This is because when the expression $6x + 25 - 4x - 35$ is simplified by combining like terms, it results in $2x - 10$, which is the same as the first expression.

Question 2

2.1.1
Substitute $m = 1$ in A and B respectively.

A) For $m(2 - m)$:
Substitute $m=1$:

$$1(2 - 1) = 1(1) = \boxed{1}$$

B) For $m(-m + 2)$:
Substitute $m=1$:

$$1(-1 + 2) = 1(1) = \boxed{1}$$

2.1.2
Do you get the same answer?

Yes, both expressions evaluate to 1 when $m=1$.