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A fill-in-the-blank style question to test vocabulary within the topic of Algebra.
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\nWord | \nDefinition | \nExample | \n
---|---|---|
Simplify | \nPut into its simplest form. | \nThe following equation, $2a +3a = 5a$ has been simplified . Due to the collection of like terms. | \n
Solve | \nTo obtain a solution to a mathematical problem. | \nSolve $5x = 30$, obtaining the solution $x=6$. | \n
Calculate | \nYou will need to do a sum to reach the answer. | \n5 students measured their heights; calculate the average of their heights. | \n
Variable | \nAn unknown value that is represented by a letter. | \nThe variable x is unknown. | \n
Equation | \nWill always have an equals sign and both sides are equal. | \nJane buys 2 cups and 3 mugs. The total number of cups and mugs can be expressed using the following equation: $ 2+3=5$. | \n
Formula | \nA way of showing a known equation using numbers and letters. | \nThe formula for the area of a triangle is $\\frac{\\mathrm{base} \\times \\mathrm{height}}{2}$. | \n
Expand | \nRemoving the brackets. | \nThe following expression has been expanded: $(x+3)(x-1) = x^2 +2x - 3$. | \n
Factorise | \nTo put in brackets, finding a common factor; this is usually the simplest form. | \nThe expression $2x^2 +4x -6 = 2(x-1)(x+3)$ has been factorised. | \n
Linear | \nAn expression or equation that is plotted as a straight line. | \nAn expression or equation that is plotted as a straight line is said to be linear. | \n
Quadratic | \nAn expression or equation that is plotted as a parabola curve. Will include an $x^2$ term. | \nFor example, $y = x^2+2x-3$. | \n
Term | \nA component of an expression or equation. | \n$5y$ is a term in $3x+5y$. | \n
Coefficient | \nThe number in front of a variable to make a term. | \nIn $2x$, $2$ is the coefficient of $x$. | \n
Parabola | \nThe 'U shaped' curve on a quadratic graph. | \nA banana shape can be described as a parabola | \n
Fill the gaps in the following sentences.
\nIn each case, choose the word which best fits in the sentence.
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