Question 1

Make $x$ the subject of the formulae for the equation $2x^2-3=y$

Accepted Answer

$x= \sqrt{ \frac{ y+3 }{ 2 }}$

Answer

$x= {( \frac{ y+3 }{ 2 })}^2$

Answer

$x= 2y+6$

Answer

$x= 2(y+2)$

Question 2

Make $x$ the subject of the formulae for the equation $a \sqrt{x}+b=c$

Accepted Answer

$x=  (\frac{ c-b }{ a })^2$

Answer

$x=  \sqrt{ \frac{ c-b }{ a }}$

Answer

$x=  ({ \frac{ a }{ b-c }})^2$

Answer

$x=  \sqrt{ \frac{ c+b }{ 2a }}$

Question 3

The power, $P$ watts, in a circuit is given by the formula $P=I^2R$,  where $I$ is the current in amps and $R$ is the resistance in ohms.

Rearrange the formula to make $I$ the subject.

Accepted Answer

$I= \sqrt{ \frac{ P }{ R }}$

Answer

$I= ({ \frac{ R }{ P }})^2$

Answer

$I= 2P \sqrt{R}$

Answer

$I= 2PR$

Question 4

Make $p$ the subject of the formula $mp-q=ap$

Accepted Answer

$p= \frac{ q }{ m-a }$

Answer

$p=  \sqrt{\frac{ m-a }{ q }}$

Answer

$p= mq-a $

Answer

$p= \frac{ m-a }{ q }$

Question 5

Make $p$ the subject of the formula $\frac{ 1 }{ p }+ \frac{ 1 }{ r }= \frac{ 1 }{ t }$

Accepted Answer

$p= \frac{ rt }{ r-t }$

Answer

$p= \frac{ r-t }{ rt }$

Answer

$p= {( rt) ^2}$

Answer

$p= rt+r-t$

Question 6

Here is the graph of $y=2-x^2$.

Use the graph to estimate the roots of $2-x^2=0$

Accepted Answer

$1.4$ and $-1.4$

Answer

$1$ and $-1$

Answer

$2.1$ and $-1.8$

Answer

$1.9$ and $0.4$

Question 7

Daniel wants to draw the graph of $y=16-x^2$.

Where should Daniel's graph cross the $x -$axis?

Accepted Answer

$x=4$ and $x=-4$

Answer

$x=16$ and $x=0$

Answer

$x=8$ and $x=-8$

Answer

$x=16$ and $x=-16$

Question 8

Daniel wants to draw the graph of $y=16-x^2$.

What are the coordinates of the turning point of $y=16-x^2$?

Accepted Answer

$(0, 16)$

Answer

$(-16, 0)$

Answer

$(16, 0)$

Answer

$(0, -16)$

Question 9

Which of these is the graph of $y=(x-2)(x+3)$?

Accepted Answer

#12ef649b-2873-4cf4-b055-f6da27921501/11_09_A.png

Answer

#12ef649b-2873-4cf4-b055-f6da27921501/11_09_D.png

Answer

#12ef649b-2873-4cf4-b055-f6da27921501/11_09_C.png

Answer

#12ef649b-2873-4cf4-b055-f6da27921501/11_09_B.png

Question 10

Work out the coordinates of the turning point of the graph for the equation $y=x^2-6x+3$

Accepted Answer

$(3, -6)$

Answer

$(0, -3)$

Answer

$(1, 6)$

Answer

$(0, -9)$

Question 11

Work out the coordinates of the turning point of the graph for the equation $y=2x^2+10x+20$

Accepted Answer

$(-\frac{ 5 }{ 2 }, \frac{ 15 }{ 2 })$

Answer

$(-\frac{ 10 }{ 3 }, \frac{ 1 }{ 2 }) $

Answer

$(-5, 2)$

Answer

$(\frac{ 1 }{ 2 }, 3)$

Question 12

Solve $x^2-4 \le-3$

Accepted Answer

$-1\le x \le1$

Answer

$-1< x <1$

Answer

$-\frac{1}{2}< x < \frac{1}{4}$

Answer

$-3\le x \le2$

Question 13

Solve $7x^2\ge28$

Accepted Answer

$x \le -2$ or $x \ge2$

Answer

$x \le 2$ or $x \ge4$

Answer

$x \le -1$ or $x \ge6$

Answer

$-2 \le x  \le 2$

Question 14

Solve $x^2-8x+15 \le0$, giving your answers in set notation.

Accepted Answer

$\{{x:3 \le x  \le 5}\}$

Answer

$\{{x:1 \le x  \le 7}\}$

Answer

$\{{x:-2 > x  }$ or ${x \le 4}\}$

Answer

$\{{x:2 < x  \le 6}\}$

Question 15

Solve $3x^2-x-4 >0$, giving your answers in set notation.

Accepted Answer

{${x:x < -1  }$ or ${x > \frac{4}{3}}$}

Answer

$\{{x:x < 3  }$ or ${x > \frac{1}{3}}\}$

Answer

$\{{x:-1  \le  x < \frac{3}{7}}\}$

Answer

$\{{x:x  \ge -2  }$ or ${x > \frac{2}{5}}\}$

Question 16

Solve $x^2-30 <-7x$, giving your answers in set notation.

Accepted Answer

$\{x:-10 <  x < 3\}$

Answer

$\{x:-5 <  x < 1\}$

Answer

$\{x:-3  \le  x < 3\}$

Answer

$\{{x:x < - \frac{1}{2}  }$ or ${x > \frac{7}{2}}\}$

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