🏛️ Algebra & Graphs Misconceptions
Common mistakes in algebra & graphs
Adding first term to dn without checking
"The First Term Fumble"
Algebra & GraphsCalculating gradient with x over y instead of y over x
"The Gradient Flip"
Algebra & GraphsCancelling terms instead of factors
"The Term Terminator"
Algebra & GraphsForgetting to change the sign when moving terms
"The Sign Slip"
Algebra & GraphsGetting the order wrong in composite functions H
"The Order Flip"
Algebra & GraphsJoining plotted points with straight lines
"The Connect-the-Dots"
Algebra & GraphsNot applying operations to entire expressions
"The Partial Operation"
Algebra & GraphsNot reversing the sign when dividing by negative
"The Flip Forget"
Algebra & GraphsOnly giving one solution to a quadratic
"The Missing Root"
Algebra & GraphsSign errors when subtracting equations
"The Subtraction Slip"
Algebra & GraphsThinking $(a + b)^2 = a^2 + b^2$
"The Binomial Blunder"
Algebra & GraphsConfusing gradient and y-intercept
"The m-c Mixup"
Algebra & GraphsDividing the wrong way round
"The Fraction Flip"
Algebra & GraphsErrors when expanding negative brackets
"The Negative Neglect"
Algebra & GraphsFinding only one variable
"The Halfway Stop"
Algebra & GraphsNot multiplying all terms when finding common denominator
"The Missing Multiply"
Algebra & GraphsOnly doing the operation on one side
"The One-Sided Operation"
Algebra & GraphsPlacing the turning point at wrong coordinates
"The Misplaced Vertex"
Algebra & GraphsSolving without setting equal to zero first
"The Zero Forgetter"
Algebra & GraphsThinking inverse means reciprocal H
"The Reciprocal Trap"
Algebra & GraphsUsing first term instead of common difference
"The Difference Confusion"
Algebra & GraphsUsing wrong circle type on number line
"The Circle Confusion"
Algebra & GraphsCross-multiplying when adding fractions
"The Cross-Multiply Confusion"
Algebra & GraphsDrawing reciprocal graph through the origin H
"The Origin Error"
Algebra & GraphsErrors when collecting x terms
"The Collection Confusion"
Algebra & GraphsForgetting to square root or doing it incorrectly H
"The Root of the Problem"
Algebra & GraphsIncluding or excluding wrong integers at boundaries
"The Boundary Blunder"
Algebra & GraphsMultiplying only one side of an equation
"The One-Sided Multiply"
Algebra & GraphsNot substituting properly into function expressions H
"The Substitution Slip"
Algebra & GraphsNot taking out the highest common factor
"The Partial Factor"
Algebra & GraphsSign errors in the quadratic formula H
"The Formula Fumble"
Algebra & GraphsThinking perpendicular lines have the same gradient H
"The Perpendicular Puzzle"
Algebra & GraphsUsing the full second difference instead of half H
"The Half Slip"
Algebra & GraphsAdding equations when you should subtract
"The Operation Confusion"
Algebra & GraphsAssuming fg(x) equals gf(x) H
"The Commutative Confusion"
Algebra & GraphsDividing by x and losing a solution
"The Vanishing Root"
Algebra & GraphsNot factorising before cancelling
"The Hasty Canceller"
Algebra & GraphsThinking exponential graphs cross the x-axis H
"The Impossible Intercept"
Algebra & GraphsWriting the inequality the wrong way round
"The Backwards Inequality"
Algebra & Graphs