Here are the solutions for each equation, solved step by step.
Column 1
1. $-2x - 73 = -89$
* Add 73 to both sides: $-2x = -16$
* Divide by -2:
$x = 8$
2. $5x - 63 = 17$
* Add 63 to both sides: $5x = 80$
* Divide by 5:
$x = 16$
3. $-11x - 27 = -49$
* Add 27 to both sides: $-11x = -22$
* Divide by -11:
$x = 2$
4. $-17x = 68$
* Divide by -17:
$x = -4$
5. $17x + 40 = 57$
* Subtract 40 from both sides: $17x = 17$
* Divide by 17:
$x = 1$
6. $-6x - 4 = -10$
* Add 4 to both sides: $-6x = -6$
* Divide by -6:
$x = 1$
7. $-19x - 87 = 8$
* Add 87 to both sides: $-19x = 95$
* Divide by -19:
$x = -5$
8. $18x = 36$
* Divide by 18:
$x = 2$
9. $14x + 43 = -83$
* Subtract 43 from both sides: $14x = -126$
* Divide by 14:
$x = -9$
Column 2
10. $-16x = -64$
* Divide by -16:
$x = 4$
11. $8x + 11 = 75$
* Subtract 11 from both sides: $8x = 64$
* Divide by 8:
$x = 8$
12. $18x + 75 = 21$
* Subtract 75 from both sides: $18x = -54$
* Divide by 18:
$x = -3$
13. $-5x + 67 = -48$
* Subtract 67 from both sides: $-5x = -115$
* Divide by -5:
$x = 23$
14. $12x + 33 = 93$
* Subtract 33 from both sides: $12x = 60$
* Divide by 12:
$x = 5$
15. $2x - 3 = 9$
* Add 3 to both sides: $2x = 12$
* Divide by 2:
$x = 6$
16. $19x + 84 = -11$
* Subtract 84 from both sides: $19x = -95$
* Divide by 19:
$x = -5$
17. $-20x + 10 = -10$
* Subtract 10 from both sides: $-20x = -20$
* Divide by -20:
$x = 1$
18. $5x - 25 = -5$
* Add 25 to both sides: $5x = 20$
* Divide by 5:
$x = 4$
Column 3
19. $7x + 56 = -56$
* Subtract 56 from both sides: $7x = -112$
* Divide by 7:
$x = -16$
20. $8x + 77 = -43$
* Subtract 77 from both sides: $8x = -120$
* Divide by 8:
$x = -15$
21. $-6x - 66 = 66$
* Add 66 to both sides: $-6x = 132$
* Divide by -6:
$x = -22$
22. $12x = 36$
* Divide by 12:
$x = 3$
23. $-3x - 95 = -8$
* Add 95 to both sides: $-3x = 87$
* Divide by -3:
$x = -29$
24. $-19x - 15 = 4$
* Add 15 to both sides: $-19x = 19$
* Divide by -19:
$x = -1$
25. $10x + 42 = -8$
* Subtract 42 from both sides: $10x = -50$
* Divide by 10:
$x = -5$
26. $20x - 1 = 59$
* Add 1 to both sides: $20x = 60$
* Divide by 20:
$x = 3$
27. $14x - 26 = -12$
* Add 26 to both sides: $14x = 14$
* Divide by 14:
$x = 1$
Final Answer:
x = 8, x = 16, x = 2, x = -4, x = 1, x = 1, x = -5, x = 2, x = -9, x = 4, x = 8, x = -3, x = 23, x = 5, x = 6, x = -5, x = 1, x = 4, x = -16, x = -15, x = -22, x = 3, x = -29, x = -1, x = -5, x = 3, x = 1
Parent Tip: Review the logic above to help your child master the concept of algebra basics worksheet.