CAPS G10 Mathematics Algebraic Expressions Quiz

 $0.\overline{23}$   is a rational number because it’s a recurring decimal number.

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Round off  $23.08974$   to 3 decimal places

•   $23.0897$  

•   $23.089$  

•   $23.090$  

•   $23.100$  

Which of the following numbers is irrational?:  $27$  ;  $\sqrt{27}$  ;  $\sqrt{-27}$  

•  $27$  

•  $\sqrt{27}$  

•  $\sqrt{-27}$  

Which of the following numbers is rational?:  $27$  ;  $\sqrt{27}$  ;  $\sqrt{-27}$  

•  $27$  

•  $\sqrt{27}$  

•  $\sqrt{-27}$  

Which of the following numbers is non-real?:  $27$  ;  $\sqrt{27}$  ;  $\sqrt{-27}$  

•  $27$  

•  $\sqrt{27}$  

•  $\sqrt{-27}$  

Given  $q=\sqrt{b^2-4ac}$   . Determine the value of  $q$   if  $a=2;\ b=-1;\ c=-2$  

•  $\sqrt{16}$  

•  $\sqrt{15}$  

•  $\sqrt{17}$  

•  $\sqrt{-15}$  

Expand & simplify completely the following algebraic expression;  $\left(3x-2\right)^2$  

•  $9x^2-4$  

•  $9x^2-12x+4$  

•  $9x^2+12x+4$  

 Expand & simplify completely the following algebraic expression;  $\left(a-2b\right)\left(a^2-6ab-b^2\right)\$  

•  $a^3-8a^2b-11ab^2-2b^3$  

•  $a^3+8a^2b+11ab^2+2b^3$  

•  $a^3+8a^2b+11ab^2-2b^3$  

•  $a^3-8a^2b+11ab^2+2b^3$  

Simplify  completely the following algebraic expression;  $\frac{5}{x+3}-\frac{3}{2-x}$  

•  $\frac{1+8x}{\left(x+3\right)\left(2-x\right)\ }$ 

•  $\frac{1-8x}{\left(x+3\right)\left(2-x\right)}$  

•  $5\left(2-x\right)-\left(x+3\right)$  

•  $1-8x$  

Expand & simplify completely the following algebraic expression; $x^6+\left(x^3-3y\right)\left(x^3+3y\right)$

• $2x^6-9y^2$

• $2x^6+9y^2$

• $2x^6+6x^3y-9y^2$

• $2x^6-6x^3y-9y^2$