Here are the solutions for each equation on the worksheet. To solve these, we need to get the variable (the letter) by itself. We do this by doing the opposite operation to both sides of the equals sign.
Step-by-step Solutions:
(1) $11 = r - 2$
* The variable is $r$. It has $2$ subtracted from it.
* Add $2$ to both sides: $11 + 2 = r$.
*
$r = 13$
(2) $g + 2 = 14$
* The variable is $g$. It has $2$ added to it.
* Subtract $2$ from both sides: $14 - 2 = g$.
*
$g = 12$
(3) $11 = k - 10$
* The variable is $k$. It has $10$ subtracted from it.
* Add $10$ to both sides: $11 + 10 = k$.
*
$k = 21$
(4) $5 = n + 3$
* The variable is $n$. It has $3$ added to it.
* Subtract $3$ from both sides: $5 - 3 = n$.
*
$n = 2$
(5) $m - 7 = 14$
* The variable is $m$. It has $7$ subtracted from it.
* Add $7$ to both sides: $14 + 7 = m$.
*
$m = 21$
(6) $13 = a - 5$
* The variable is $a$. It has $5$ subtracted from it.
* Add $5$ to both sides: $13 + 5 = a$.
*
$a = 18$
(7) $6 = w - 7$
* The variable is $w$. It has $7$ subtracted from it.
* Add $7$ to both sides: $6 + 7 = w$.
*
$w = 13$
(8) $j - 3 = 12$
* The variable is $j$. It has $3$ subtracted from it.
* Add $3$ to both sides: $12 + 3 = j$.
*
$j = 15$
(9) $a + 8 = 22$
* The variable is $a$. It has $8$ added to it.
* Subtract $8$ from both sides: $22 - 8 = a$.
*
$a = 14$
(10) $e + 11 = 23$
* The variable is $e$. It has $11$ added to it.
* Subtract $11$ from both sides: $23 - 11 = e$.
*
$e = 12$
(11) $14 = x + 5$
* The variable is $x$. It has $5$ added to it.
* Subtract $5$ from both sides: $14 - 5 = x$.
*
$x = 9$
(12) $4 = q - 14$
* The variable is $q$. It has $14$ subtracted from it.
* Add $14$ to both sides: $4 + 14 = q$.
*
$q = 18$
(13) $j - 12 = 8$
* The variable is $j$. It has $12$ subtracted from it.
* Add $12$ to both sides: $8 + 12 = j$.
*
$j = 20$
(14) $j - 3 = 11$
* The variable is $j$. It has $3$ subtracted from it.
* Add $3$ to both sides: $11 + 3 = j$.
*
$j = 14$
(15) $14 = r - 13$
* The variable is $r$. It has $13$ subtracted from it.
* Add $13$ to both sides: $14 + 13 = r$.
*
$r = 27$
Final Answer:
(1) r = 13
(2) g = 12
(3) k = 21
(4) n = 2
(5) m = 21
(6) a = 18
(7) w = 13
(8) j = 15
(9) a = 14
(10) e = 12
(11) x = 9
(12) q = 18
(13) j = 20
(14) j = 14
(15) r = 27
Parent Tip: Review the logic above to help your child master the concept of solving addition and subtraction equations worksheet.
