Question

solve each equation.

1. 5k + 2 = 7
2. $\frac{y - 8}{4}=7$
3. $\frac{b}{7}+4 = 9$
4. 3m - 2 = 2m
5. 11(x - 9) = 22
6. $\frac{h + 6}{2}=3$
7. $\frac{n}{2}-10 = 1$
8. 4v + 1 = 25

Explanation:

Step1: Isolate the term with the variable for 1)

Subtract 2 from both sides of $5k + 2=7$.
$5k=7 - 2=5$

Step2: Solve for k in 1)

Divide both sides by 5.
$k=\frac{5}{5}=1$

Step3: Isolate the term with the variable for 2)

Multiply both sides of $\frac{y - 8}{4}=7$ by 4.
$y-8=7\times4 = 28$

Step4: Solve for y in 2)

Add 8 to both sides.
$y=28 + 8=36$

Step5: Isolate the term with the variable for 3)

Subtract 4 from both sides of $\frac{b}{7}+4 = 9$.
$\frac{b}{7}=9 - 4=5$

Step6: Solve for b in 3)

Multiply both sides by 7.
$b=5\times7 = 35$

Step7: Isolate the term with the variable for 4)

Subtract 2m from both sides of $3m-2 = 2m$.
$3m-2m=2$
$m = 2$

Step8: Isolate the term with the variable for 5)

Divide both sides of $11(x - 9)=22$ by 11.
$x-9=\frac{22}{11}=2$

Step9: Solve for x in 5)

Add 9 to both sides.
$x=2 + 9=11$

Step10: Isolate the term with the variable for 6)

Multiply both sides of $\frac{h + 6}{2}=3$ by 2.
$h+6=3\times2=6$

Step11: Solve for h in 6)

Subtract 6 from both sides.
$h=6 - 6=0$

Step12: Isolate the term with the variable for 7)

Add 10 to both sides of $\frac{n}{2}-10 = 1$.
$\frac{n}{2}=1 + 10=11$

Step13: Solve for n in 7)

Multiply both sides by 2.
$n=11\times2=22$

Step14: Isolate the term with the variable for 8)

Subtract 1 from both sides of $4v+1 = 25$.
$4v=25 - 1=24$

Step15: Solve for v in 8)

Divide both sides by 4.
$v=\frac{24}{4}=6$

Answer:

1. $k = 1$
2. $y=36$
3. $b = 35$
4. $m = 2$
5. $x=11$
6. $h = 0$
7. $n=22$
8. $v=6$