Solving Linear Equations
Select the skills to practice, then click Go!
One-step: multiplication
\[ 3x = 15 \]
One-step: division
\[ \frac{x}{4} = 3 \]
One-step: addition
\[ x + 7 = 12 \]
One-step: subtraction
\[ x \; – \; 4 = 6 \]
One-step: unknown subtracted
\[ 12 \; – \; x = 5 \]
Two-step: multiply then add
\[ 2x + 5 = 13 \]
Two-step: multiply then subtract
\[ 3x \; – \; 4 = 11 \]
Two-step: unknown term subtracted
\[ 20 \; – \; 3x = 5 \]
Two-step: divide then add
\[ \frac{x}{3} + 2 = 5 \]
Two-step: divide then subtract
\[ \frac{x}{2} \; – \; 3 = 2 \]
Two-step: unknown divided
\[ 10 \; – \; \frac{x}{2} = 6 \]
Brackets: addition inside
\[ 2(x + 3) = 14 \]
Brackets: subtraction inside
\[ 3(x \; – \; 2) = 12 \]
Brackets: unknown subtracted
\[ 2(5 \; – \; x) = 6 \]
Brackets + constant: addition
\[ 2(x + 1) + 3 = 13 \]
Brackets + constant: unknown sub
\[ 2(6 \; – \; x) + 1 = 9 \]
Expression divided: addition
\[ \frac{x + 4}{2} = 4 \]
Expression divided: subtraction
\[ \frac{x \; – \; 3}{2} = 3 \]
Expression divided: unknown sub
\[ \frac{10 \; – \; x}{2} = 3 \]
Both sides: same coeff sign
\[ 5x + 2 = 3x + 10 \]
Both sides: one subtracted
\[ 2x + 5 = 14 \; – \; x \]
Both sides: both subtracted
\[ 20 \; – \; 2x = 14 \; – \; x \]
Both sides w/ brackets: same
\[ 2(x + 3) = 3(x + 1) \]
Both sides w/ brackets: diff
\[ 3(x + 2) = 2(5 \; – \; x) \]
Both sides w/ brackets: both sub
\[ 2(8 \; – \; x) = 3(4 \; – \; x) \]
Both sides: one bracket
\[ 2(x + 4) = 3x + 2 \]
Both sides: unknown sub
\[ 2(7 \; – \; x) = x + 5 \]
Complex brackets
\[ 2(x + 1) + 4 = 3(x \; – \; 1) + 5 \]
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