Question

3.1 practice 3.1 worksheet
solve the equation. show all steps!!! write the solution on the line.

1. x + 16 = 25
2. n - 9 = 17
3. - 30 = w + 8
4. y + 5 = - 13
5. a - 17 = - 10
6. 41 = 52 + m
7. c - 2.4 = 1.8
8. z + 4.1 = 9.6
9. - 3.2 = 4.5 + p
10. 9x = 54
11. - 5b = 55
12. - 42 = 3m
13. - 52 = - 4y
14. 1/6n = 36
15. - 3/4a = 12
16. 0.5y = 17
17. - 1.4a = 2.8
18. - 6.5 = - 1.3m

algebra 1

Explanation:

Step1: Solve x + 16 = 25

Subtract 16 from both sides. $x+16 - 16=25 - 16$, so $x = 9$.

Step2: Solve n - 9 = 17

Add 9 to both sides. $n-9 + 9=17 + 9$, so $n = 26$.

Step3: Solve - 30 = w + 8

Subtract 8 from both sides. $-30-8=w + 8-8$, so $w=-38$.

Step4: Solve y + 5=-13

Subtract 5 from both sides. $y + 5-5=-13-5$, so $y=-18$.

Step5: Solve a - 17=-10

Add 17 to both sides. $a-17 + 17=-10 + 17$, so $a = 7$.

Step6: Solve 41 = 52 + m

Subtract 52 from both sides. $41-52=52 + m-52$, so $m=-11$.

Step7: Solve c - 2.4 = 1.8

Add 2.4 to both sides. $c-2.4 + 2.4=1.8 + 2.4$, so $c = 4.2$.

Step8: Solve z + 4.1 = 9.6

Subtract 4.1 from both sides. $z + 4.1-4.1=9.6-4.1$, so $z = 5.5$.

Step9: Solve -3.2 = 4.5 + p

Subtract 4.5 from both sides. $-3.2-4.5=4.5 + p-4.5$, so $p=-7.7$.

Step10: Solve 9x = 54

Divide both sides by 9. $\frac{9x}{9}=\frac{54}{9}$, so $x = 6$.

Step11: Solve -5b = 55

Divide both sides by -5. $\frac{-5b}{-5}=\frac{55}{-5}$, so $b=-11$.

Step12: Solve -42 = 3m

Divide both sides by 3. $\frac{-42}{3}=\frac{3m}{3}$, so $m=-14$.

Step13: Solve -52=-4y

Divide both sides by -4. $\frac{-52}{-4}=\frac{-4y}{-4}$, so $y = 13$.

Step14: Solve $\frac{1}{6}n = 36$

Multiply both sides by 6. $6\times\frac{1}{6}n=36\times6$, so $n = 216$.

Step15: Solve $-\frac{3}{4}a = 12$

Multiply both sides by $-\frac{4}{3}$. $-\frac{4}{3}\times(-\frac{3}{4}a)=12\times(-\frac{4}{3})$, so $a=-16$.

Step16: Solve 0.5y = 17

Divide both sides by 0.5. $\frac{0.5y}{0.5}=\frac{17}{0.5}$, so $y = 34$.

Step17: Solve -1.4a = 2.8

Divide both sides by -1.4. $\frac{-1.4a}{-1.4}=\frac{2.8}{-1.4}$, so $a=-2$.

Step18: Solve -6.5=-1.3m

Divide both sides by -1.3. $\frac{-6.5}{-1.3}=\frac{-1.3m}{-1.3}$, so $m = 5$.

Answer:

1. $x = 9$
2. $n = 26$
3. $w=-38$
4. $y=-18$
5. $a = 7$
6. $m=-11$
7. $c = 4.2$
8. $z = 5.5$
9. $p=-7.7$
10. $x = 6$
11. $b=-11$
12. $m=-14$
13. $y = 13$
14. $n = 216$
15. $a=-16$
16. $y = 34$
17. $a=-2$
18. $m = 5$