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Grade 8 Algebra: Variables on Both Sides

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Special cases and fractions

1. Solve, or say no solution / infinitely many:
$3(x + 2) = 3x + 6$
2. Solve, or say no solution / infinitely many:
$2(y + 1) = 2y + 5$
3. Solve:
$\tfrac{1}{2}n + 4 = \tfrac{1}{4}n + 6$
4. Solve:
$0.3m + 2 = 0.1m + 3$
5. Solve:
$\dfrac{k + 3}{2} = \dfrac{k + 7}{3}$
6. Solve:
$4(2p - 1) - 3p = 2(p + 4)$

$\text{Variables}$ $\text{on}$ $\text{Both}$ $\text{Sides:}$ $\text{Free}$ $\text{8th}$ $\text{Grade}$ $\text{Math}$ $\text{PDF}$

$\text{A}$ $\text{linear}$ $\text{equation}$ $\text{states}$ $\text{that}$ $\text{two}$ $\text{expressions}$ $\text{are}$ $\text{equal.}$ $\text{Using}$ $\text{inverse}$ $\text{operations}$ $\text{on}$ $\text{both}$ $\text{sides}$ $\text{keeps}$ $\text{the}$ $\text{equation}$ $\text{balanced}$ $\text{and}$ $\text{helps}$ $\text{find}$ $\text{the}$ $\text{unknown}$ $\text{value,}$ $\text{from}$ $\text{one-step}$ $\text{equations}$ $\text{to}$ $\text{problems}$ $\text{with}$ $\text{variables}$ $\text{on}$ $\text{both}$ $\text{sides.}$

$\text{Variables}$ $\text{on}$ $\text{Both}$ $\text{Sides.}$ $\text{Level}$ $\text{3:}$ $\text{Special}$ $\text{cases}$ $\text{and}$ $\text{fractions.}$