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SingaporeMathsQuick questions

Equations and Inequalities

Quick questions on Word problems and modelling explained: O-Level E-Maths

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is translate the words into an equation?
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Convert each piece of information into a symbol relationship. Common cues are sum (add), product (multiply), is or equals (an equals sign), more than, twice, consecutive, and area or perimeter formulas. If two unknowns appear, look for two pieces of information to form simultaneous equations.
What is choose the right kind of equation?
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A relationship involving only first powers gives a linear equation; an area, a product of two unknowns, or a squared quantity gives a quadratic. Recognising which arises tells you which solving method to reach for.
What is not checking against the original wording?
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Substituting back into the words, not just the equation, catches misread relationships.
What is q1?
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A number multiplied by 44 and then increased by 77 gives 3131. Form and solve an equation. [2 marks]
What is q2?
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Two consecutive even numbers have a sum of 5454. Find them. [2 marks]
What is q3?
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A square has area 5 cm25\ \text{cm}^2 more than its perimeter (treating both as numbers). If the side is xx, form the equation. [2 marks]

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