Basic Algebra/Introduction to Basic Algebra Ideas/Chapter Test

 {== Section A (5 marks) == Evaluate the following expressions.}

{ $$24 \div 6 - 7 =$${ -3_2 }
 * type="{}"}

{ $$(5 + 3) \times 6=$${ 48_2 }
 * type="{}"}

{ $$\frac{16+14}{5} - 3=$${ 3_2 }
 * type="{}"}

{ $$\frac{36}{4 - (-2)}+5=$${ 11_2 }
 * type="{}"}

{ $$\left(\frac{2 \times 27}{9}\right)^2=$${ 36_2 }
 * type="{}"}

{== Section B (5 marks) == Evaluate the following expressions.}

{ $$9+3^2=$${ 18_2 }
 * type="{}"}

{ $$3+ \frac{20}{2^2} =$${ 8_2 }
 * type="{}"}

{ $$\frac {2(3+4)}{94^0}=$${ 14_2 }
 * type="{}"}

{ $$20 - 2 \left(\frac{96}{4^2}\right)=$${ 8_2 }
 * type="{}"}

{ $$-4 + 5 \left(\frac{56+7}{3^2}\right) - 1 =$${ 30_2 }
 * type="{}"}

{== Section C (5 marks) == Evaluate the following expressions when $$w=4$$, $$x=5$$, $$y=6$$ and $$z=7$$.}

{ $$3x+2y+z=$${ 34_2 }
 * type="{}"}

{ $$\frac{w^2}{y+2}+2z=$${ 16_2 }
 * type="{}"}

{ $$2 \left(\frac{x^2+3}{w}\right)-(2y-z)=$${ 9_2 }
 * type="{}"}

{ $$(6-3)\left(\frac{2w-x}{z-4}\right)+(3y-4)=$${ 17_2 }
 * type="{}"}

{ $$3^2(2w^0)\left(\frac{wx}{y-2}\right)-z=$${ 83_2 }
 * type="{}"}

{== Section D (6 marks)== Evaluate the value of $$x$$ in the following equations with the given value of $$y$$.}

{$$4x+3y=18$$ (given $$y=2$$) $$x=$${ 3_2 }
 * type="{}"}

{$$\frac{2x}{y+1}+4=20$$ (given $$y=3$$) $$x=$${ 32_2 }
 * type="{}"}

{$$2 \left(\frac{2x-2}{y-3}\right)+8=6^2$$ (given $$y=7$$) $$x=$${ 29_2 }
 * type="{}"}

{$$3^3+2^0+3x-2y \left(\frac{18}{2}\right)=97$$ (given $$y=3$$) $$x=$${ 41_2 }
 * type="{}"}

{$$[5(2x-3)]^2=y+6$$ (given $$y=19$$) $$x\in\{$${ 1_2 },{ 2_2 }$$\}$$
 * type="{}" coef="2"}