Question

name: date: solving one - step equations pixel art (use format no spaces, x=answer) 1) -5x = 120 2) -42 = -\frac{x}{2} 3) x - 28 = -30 4) 45 = -17 + x 5) -16 = \frac{x}{4} 6) x - (-18) = 24 7) -18x = -36 8) -31 = -12 + x 9) -\frac{x}{9}=18 10) 7x = -98 11) -14 = x - 60 12) x - (-29) = 47 13) -13x = -91 14) \frac{x}{3} = -30 15) -38 + x = 40 16) x + (-15) = 1 17) 18) -60 = 12y

Explanation:

Step1: Solve -5x = 120

Divide both sides by -5, $x=\frac{120}{-5}=-24$

Step2: Solve -42 = -$\frac{x}{2}$

Multiply both sides by -2, $x = (-42)\times(-2)=84$

Step3: Solve x - 28 = -30

Add 28 to both sides, $x=-30 + 28=-2$

Step4: Solve 45 = -17 + x

Add 17 to both sides, $x=45 + 17 = 62$

Step5: Solve -16 = $\frac{x}{4}$

Multiply both sides by 4, $x=-16\times4=-64$

Step6: Solve x - (-18) = 24

Simplify to x + 18 = 24, then subtract 18 from both sides, $x=24 - 18 = 6$

Step7: Solve -18x = -36

Divide both sides by -18, $x=\frac{-36}{-18}=2$

Step8: Solve -31 = -12 + x

Add 12 to both sides, $x=-31 + 12=-19$

Step9: Solve -$\frac{x}{9}$ = 18

Multiply both sides by -9, $x=18\times(-9)=-162$

Step10: Solve 7x = -98

Divide both sides by 7, $x=\frac{-98}{7}=-14$

Step11: Solve -14 = x - 60

Add 60 to both sides, $x=-14 + 60 = 46$

Step12: Solve x - (-29) = 47

Simplify to x + 29 = 47, then subtract 29 from both sides, $x=47 - 29 = 18$

Step13: Solve -13x = -91

Divide both sides by -13, $x=\frac{-91}{-13}=7$

Step14: Solve $\frac{x}{3}$ = -30

Multiply both sides by 3, $x=-30\times3=-90$

Step15: Solve -38 + x = 40

Add 38 to both sides, $x=40 + 38 = 78$

Step16: Solve x + (-15) = 1

Simplify to x - 15 = 1, then add 15 to both sides, $x=1 + 15 = 16$

Step17: (No equation given for 17)

Step18: Solve -60 = 12y

Divide both sides by 12, $y=\frac{-60}{12}=-5$

Answer:

1. x=-24
2. x=84
3. x=-2
4. x=62
5. x=-64
6. x=6
7. x=2
8. x=-19
9. x=-162
10. x=-14
11. x=46
12. x=18
13. x=7
14. x=-90
15. x=78
16. x=16
17. y=-5