Here are the step-by-step solutions for each equation on the worksheet.
1 a. $\frac{8a}{4} = 6$
* First, simplify the left side. $8$ divided by $4$ is $2$. So, the equation becomes $2a = 6$.
* Divide both sides by $2$ to get $a$ by itself.
* $6 \div 2 = 3$.
*
$a = 3$
1 b. $6 = 2 - 7y$
* Subtract $2$ from both sides to move the number away from the variable term.
* $6 - 2 = 4$, so now you have $4 = -7y$.
* Divide both sides by $-7$.
*
$y = -\frac{4}{7}$
2 a. $4s + 4 = 9$
* Subtract $4$ from both sides.
* $9 - 4 = 5$, so now you have $4s = 5$.
* Divide both sides by $4$.
*
$s = \frac{5}{4}$ (or $1.25$)
2 b. $3a + 3 = 6$
* Subtract $3$ from both sides.
* $6 - 3 = 3$, so now you have $3a = 3$.
* Divide both sides by $3$.
*
$a = 1$
3 a. $6 - 5a = 1$
* Subtract $6$ from both sides.
* $1 - 6 = -5$, so now you have $-5a = -5$.
* Divide both sides by $-5$. A negative divided by a negative is positive.
*
$a = 1$
3 b. $9 = \frac{7x}{2}$
* To get rid of the fraction, multiply both sides by $2$.
* $9 \times 2 = 18$, so now you have $18 = 7x$.
* Divide both sides by $7$.
*
$x = \frac{18}{7}$ (or $2\frac{4}{7}$)
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Final Answer:
1 a. $a = 3$
1 b. $y = -\frac{4}{7}$
2 a. $s = \frac{5}{4}$ (or $1.25$)
2 b. $a = 1$
3 a. $a = 1$
3 b. $x = \frac{18}{7}$ (or approx $2.57$)
Parent Tip: Review the logic above to help your child master the concept of algebra 1 multi step equations worksheet.
