GoldMath9 Q1Wk4 Parallel Assessment

Express

 $\frac{1}{x}+\frac{x+1}{2}$ 

in simplest form. 

•  $\frac{x^2+x+2}{2x}$  

•  $\frac{x^2+x+2}{x+2}$  

•  $\frac{x^2+x+2}{x^2}$  

•  $\frac{x^2+x+2}{2+x}$  

Express (x+1) (2x-3) = 7 in standard form.

• $2x^2-x-10=0$

• $2x^2+x-10=0$

• $2x^2-x+10=0$

• $2x^2+x+10=0$

Find the roots of the equation  $x(x-3)=10$ .

• 5, -2

• 5, 2

• -5, 2

• -5, -2

Which of the following rational algebraic equations is transformable to a quadratic equation?

• $\frac{1}{2}+\frac{3}{a+2}=\frac{2}{4a}$

• $\frac{1}{w}+\frac{5}{w+1}=3w$

• $\frac{2r-1}{5}+\frac{2}{3}=\frac{3r}{4}$

• $\frac{b+1}{2}-\frac{b+2}{4}=4$

Which of the following equations have extraneous roots or solutions?

• $\frac{6}{n\left(n+2\right)}=\frac{3}{n^2}$

• $\frac{1}{x}+\frac{x+1}{2}=2$

• $\frac{1}{m}+\frac{m}{2}=\frac{11}{6}$

• $\frac{2}{z}-\frac{z+1}{5}=-\frac{4}{5}$

The equation   $x+\frac{6}{x-2}=1+\frac{3x}{x-2}$  have extraneous roots or solutions.

• True

• False

The rational algebraic equation   $\frac{2x-1}{5}+\frac{2}{3}=\frac{3x}{4}$    is transformable to a quadratic equation.

• True

• False

What is the standard form of the rational algebraic equation   $\frac{2}{y-3}+\frac{y}{2}=-\frac{1}{2}$  .

•  $y^2-2y+1=0$  

•  $y^2-2y-1=0$  

•  $y^2+2y+1=0$  

•  $y^2+2y-1=0$  

Give the solutions of the equation   $(x+1)^2+(x+2)^2=13$  .

• 1, -4

• 1, 4

• -1, 4

• -1, -4

There is only one solution in the rational algebraic equation    $\frac{1}{x}+\frac{x}{4}=1$  .

• True

• False