Here are the step-by-step solutions for each equation on the worksheet.
1) $21 + x = 26$
* Subtract 21 from both sides: $x = 26 - 21$
*
$x = 5$
2) $12 + 2x = 16$
* Subtract 12 from both sides: $2x = 16 - 12$
* $2x = 4$
* Divide by 2: $x = 4 / 2$
*
$x = 2$
3) $4x - 2 = 10$
* Add 2 to both sides: $4x = 10 + 2$
* $4x = 12$
* Divide by 4: $x = 12 / 4$
*
$x = 3$
4) $x + 7 = 12$
* Subtract 7 from both sides: $x = 12 - 7$
*
$x = 5$
5) $x + 15 = 28$
* Subtract 15 from both sides: $x = 28 - 15$
*
$x = 13$
6) $6x - 12 = 12$
* Add 12 to both sides: $6x = 12 + 12$
* $6x = 24$
* Divide by 6: $x = 24 / 6$
*
$x = 4$
7) $9x - 18 = 9$
* Add 18 to both sides: $9x = 9 + 18$
* $9x = 27$
* Divide by 9: $x = 27 / 9$
*
$x = 3$
8) $x + 24 = 36$
* Subtract 24 from both sides: $x = 36 - 24$
*
$x = 12$
9) $7x - 4 = 10$
* Add 4 to both sides: $7x = 10 + 4$
* $7x = 14$
* Divide by 7: $x = 14 / 7$
*
$x = 2$
10) $x + 14 = 32$
* Subtract 14 from both sides: $x = 32 - 14$
*
$x = 18$
Final Answer:
1) x = 5
2) x = 2
3) x = 3
4) x = 5
5) x = 13
6) x = 4
7) x = 3
8) x = 12
9) x = 2
10) x = 18
Parent Tip: Review the logic above to help your child master the concept of sixth grade algebra worksheet.
