Home / iGCSE Mathematics (0580) : C2.11 Construct tables of values for functions of the form \(ax+b,\pm x^2+ax+b,\frac{a}{x}(x\neq 0)\), where a and b are integer constants. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C2.11 Construct tables of values for functions of the form \(ax+b,\pm x^2+ax+b,\frac{a}{x}(x\neq 0)\), where a and b are integer constants. iGCSE Style Questions Paper 1

Question

(a) Find the value of 5x2 when x = –4.

Answer/Explanation

Ans: 80

(b) Make x the subject of the formula y = 5x2.

Answer/Explanation

Ans: \([\pm ]\sqrt{\frac{y}{5}}or\frac{\sqrt{y}}{\sqrt{5}}\)
          Final answer 

Question

 (a) Solve the equation.
4x + 3 = 11
x = …………………………………………
(b) Make x the subject of the formula \(y = 4x^2 – 2\).
x = …………………………………………

Answer/Explanation

Ans:

(a) 2
(b) [x=] \(\sqrt{\frac{y+2}{4}}\) or \(\sqrt{(y+2)/4}\)

or \(\sqrt{\frac{y+2}{2}}\) oe final answer

Question

The diagram shows the graph of \(y = (x + 1)^2 for −4 \leq x\leq 2\)
(a) On the same grid, draw the line y = 3
(b) Use your graph to find the solutions of \((x + 1)^2= 3
Give each solution correct to 1 decimal place.

Answer/Explanation

(a)

(b) \(x^2+1+2x=3\)

\(x^2+2x-2=0\)

\(D=2^2-4(1)(-2)=12\)

\(\alpha,\beta=\frac{-2\pm\sqrt{12}}{2.1}\)

\(frac{-2+3.46}{2},\(frac{-2-3.46}{2}\)

=0.73,-2,73

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