Question

5-1 hw-solving one-step addition and subtraction equatio directions: solve each equation using the inverse operation. show your work to earn credit. 1. ( m + 9 = 17 ) 5. ( -2 = x - 18 ) 2. ( 9 = x - (-11) ) 6. ( n + 3.5 = 6.7 ) 3. ( 6 + y = -8 ) 7. ( m - \frac{3}{14} = \frac{5}{14} ) 4. ( x + 1.6 = ) (partially visible) 8. ( k + 3\frac{1}{2} = -10 )

Explanation:

Step1: Solve $m+9=17$

Subtract 9 from both sides:
$m+9-9=17-9$
$m=8$

Step2: Solve $9=x-(-11)$

Simplify the equation first:
$9=x+11$
Subtract 11 from both sides:
$9-11=x+11-11$
$x=-2$

Step3: Solve $6+y=-8$

Subtract 6 from both sides:
$6+y-6=-8-6$
$y=-14$

Step4: Solve $x+1.6=0.2$

Subtract 1.6 from both sides:
$x+1.6-1.6=0.2-1.6$
$x=-1.4$

Step5: Solve $-2+x=18$

Add 2 to both sides:
$-2+x+2=18+2$
$x=20$

Step6: Solve $n+3.5=6.7$

Subtract 3.5 from both sides:
$n+3.5-3.5=6.7-3.5$
$n=3.2$

Step7: Solve $m-\frac{3}{14}=\frac{5}{14}$

Add $\frac{3}{14}$ to both sides:
$m-\frac{3}{14}+\frac{3}{14}=\frac{5}{14}+\frac{3}{14}$
$m=\frac{8}{14}=\frac{4}{7}$

Step8: Solve $k+3\frac{1}{2}=-10$

Convert mixed number to decimal: $3\frac{1}{2}=3.5$
Subtract 3.5 from both sides:
$k+3.5-3.5=-10-3.5$
$k=-13.5=-\frac{27}{2}$

Answer:

1. $m=8$
2. $x=-2$
3. $y=-14$
4. $x=-1.4$
5. $x=20$
6. $n=3.2$
7. $m=\frac{4}{7}$
8. $k=-\frac{27}{2}$ (or $k=-13.5$)