Question

name: camila
algebra
unit 3a homework 1 - one & two step equations
directions: show all work in order to receive full credit.
equations to solve properties used

1. -15 = -4m + 5
2. 10 - 6v = -104
3. $\frac{m}{9}-1=-2$
4. $\frac{n + 5}{-16}=-1$
5. $8+\frac{b}{-4}=5$

Explanation:

Step1: Isolate the term with variable for -15 = -4m + 5

Subtract 5 from both sides.
$-15 - 5=-4m+5 - 5$
$-20=-4m$

Step2: Solve for m

Divide both sides by -4.
$\frac{-20}{-4}=\frac{-4m}{-4}$
$m = 5$

Step3: Isolate the term with variable for 10 - 6v = -104

Subtract 10 from both sides.
$10-10 - 6v=-104 - 10$
$-6v=-114$

Step4: Solve for v

Divide both sides by -6.
$\frac{-6v}{-6}=\frac{-114}{-6}$
$v = 19$

Step5: Isolate the term with variable for $\frac{m}{9}-1=-2$

Add 1 to both sides.
$\frac{m}{9}-1 + 1=-2 + 1$
$\frac{m}{9}=-1$

Step6: Solve for m

Multiply both sides by 9.
$m=-9$

Step7: Isolate the term with variable for $\frac{n + 5}{-16}=-1$

Multiply both sides by -16.
$n + 5=(-1)\times(-16)$
$n + 5=16$

Step8: Solve for n

Subtract 5 from both sides.
$n=16 - 5$
$n = 11$

Step9: Isolate the term with variable for $8+\frac{b}{-4}=5$

Subtract 8 from both sides.
$8-8+\frac{b}{-4}=5 - 8$
$\frac{b}{-4}=-3$

Step10: Solve for b

Multiply both sides by -4.
$b=(-3)\times(-4)$
$b = 12$

Answer:

1. $m = 5$
2. $v = 19$
3. $m=-9$
4. $n = 11$
5. $b = 12$