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A fill-in-the-blank style question to test vocabulary within the topic of Algebra.

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The words and their definitions are as follows:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
WordDefinitionExample
SimplifyPut into its simplest form.The following equation, $2a +3a = 5a$ has been simplified . Due to the collection of like terms.
SolveTo obtain a solution to a mathematical problem.Solve $5x = 30$, obtaining the solution $x=6$.
CalculateYou will need to do a sum to reach the answer.5 students measured their heights; calculate the average of their heights.
VariableAn unknown value that is represented by a letter.The variable x is unknown.
EquationWill always have an equals sign and both sides are equal.Jane buys 2 cups and 3 mugs. The total number of cups and mugs can be expressed using the following equation: $2+3=5$.
FormulaA way of showing a known equation using numbers and letters.The formula for the area of a triangle is $\\frac{\\mathrm{base} \\times \\mathrm{height}}{2}$.
ExpandRemoving the brackets.The following expression has been expanded: $(x+3)(x-1) = x^2 +2x - 3$.
FactoriseTo put in brackets, finding a common factor; this is usually the simplest form.The expression $2x^2 +4x -6 = 2(x-1)(x+3)$ has been factorised.
LinearAn expression or equation that is plotted as a straight line.An expression or equation that is plotted as a straight line is said to be linear.
QuadraticAn expression or equation that is plotted as a parabola curve. Will include an $x^2$ term.For example, $y = x^2+2x-3$.
TermA component of an expression or equation.$5y$ is a term in $3x+5y$.
CoefficientThe number in front of a variable to make a term.In $2x$, $2$ is the coefficient of $x$.
ParabolaThe 'U shaped' curve on a quadratic graph.A banana shape can be described as a parabola
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Fill the gaps in the following sentences.

\n

In each case, choose the word which best fits in the sentence.

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Only here to be able to publish the question.

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The following equation, $2a +3a = 5a$ has been [[0]], due to the collection of like terms.

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Simplified

", "

Expanded

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Factorised

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Solved

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[[0]] $5x = 30$, obtaining the solution $x=6$.

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Simplify

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Calculate

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Divide

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Solve

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5 students measured their heights. [[0]] the average of their heights.

\n

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Simplify

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Calculate

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Divide

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Solve

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The [[0]] x is unknown.

\n

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Symbol

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Term

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Formula

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Variable

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Jane buys 2 cups and 3 mugs. The total number of cups and mugs can be expressed using the following [[0]]: $2+3=5$.

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Variable

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Equation

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Formula

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Linear

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The [[0]] for the area of a triangle is $\\frac{\\mathrm{base} \\times \\mathrm{height}}{2}$.

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Solution

", "

Equation

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Formula

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Definition

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The following expression has been [[0]] $(x+3)(x-1) = x^2 +2x - 3$.

\n

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Multiplied

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Expanded

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Factorised

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Solved

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The expression $2x^2 +4x -6 = 2(x-1)(x+3)$ has been [[0]]

\n

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Simplified

", "

Expanded

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Factorised

", "

Calculated

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An expression or equation that is plotted as a straight line is said to be [[0]]

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Linear

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Expanded

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Parabola

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A [[0]] equation will include an $x^2$ term. For example, $y = x^2+2x-3$.

\n

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Linear

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Formula

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Function

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$5y$ is a [[0]] in $3x+5y$.

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Variable

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Term

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Coefficient

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Symbol

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In $2x$, $2$ is the [[0]] of $x$.

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Constant

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Coefficient

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Variable

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Term

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The 'U shaped' curve on a quadratic graph is called a [[0]].

\n

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Linear

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Hyperbola

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Parabola

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