Document page
mathematicsprinted 28 · PDF 29
165 pagesrevision 46935
printed 28 · PDF 29
Page image rendered from the stored file at 110 dpi; it sharpens as you zoom. Outlines are placed from each region’s stored position on the page (595 × 842 pt).
no text layerread by OCR (tesseract5-eng@250dpi)The text layer was unusable, so the page image was read by OCR. OCR text can contain misread characters.
Source of this text: read by OCR. The better of the embedded text and OCR is kept.
Aitchison College Academic Resources.
Algebra and graphs (continued)
E2.4 Indicestt
1
2
Understand and use indices (positive, zero,
negative and fractional).
Understand and use the rules of indices,
€2.5 Equations
1
Construct expressions, equations and formulas.
Solve linear equations in one unknown.
Solve fractional equations with numerical and
near algebraic denominators.
Solve simultaneous linear equations in two
unknowns.
Solve simultaneous equations, invotving one
finmear and one non-linear.
Solve quadratic equations by factorisation,
completing the square and by use of the
quadratic formula.
Change the subject of formulas.
Notes and examples
eg. solve:
* 32°=2
2 eh =25*,
2.9. simplify:
© 3x%~x 3x
- 2xt +2x°?
2x*
» bey
Knowledge of logarithms is not required.
Notes and examples
€.g. write an expression for the product of two
consecutive even numbers.
includes constructing simultaneous equations.
iExampies include:
° &xv+4=10
© S—2x =3 +7).
Examples include:
x =
° aa7 4
2 3.
° sa3*a TT!
°* 342 x-6'
With powers no higher than two,
incdudes writing a quadratic expression in
completed square form.
Candidates may be expected to give solutions in
surd form.
The quadratic formula is given in the List of
formulas.
e.g. change the subject of a formula where:
*° the subject appears twice
° thereis a power or root of the subject.
28