Question

warm-up
solve each equation mentally. be prepared to share your strategy.

1. $5 - x = 8$
2. $-1 = x - 2$
3. $-3x = 9$
4. $-10 = -5x$

Explanation:

Step1: Isolate $x$ for $5-x=8$

Rearrange to $-x=8-5$; $-x=3$; $x=-3$

Step2: Isolate $x$ for $-1=x-2$

Rearrange to $x=-1+2$; $x=1$

Step3: Isolate $x$ for $-3x=9$

Divide by $-3$: $x=\frac{9}{-3}$; $x=-3$

Step4: Isolate $x$ for $-10=-5x$

Divide by $-5$: $x=\frac{-10}{-5}$; $x=2$

Answer:

1. $x=-3$
2. $x=1$
3. $x=-3$
4. $x=2$