# Basic Algebra/Introduction to Basic Algebra Ideas/Chapter Test

## Section A (5 marks)

Evaluate the following expressions.

1

 ${\displaystyle 24\div 6-7=}$

2

 ${\displaystyle (5+3)\times 6=}$

3

 ${\displaystyle {\frac {16+14}{5}}-3=}$

4

 ${\displaystyle {\frac {36}{4-(-2)}}+5=}$

5

 ${\displaystyle \left({\frac {2\times 27}{9}}\right)^{2}=}$

## Section B (5 marks)

Evaluate the following expressions.

6

 ${\displaystyle 9+3^{2}=}$

7

 ${\displaystyle 3+{\frac {20}{2^{2}}}=}$

8

 ${\displaystyle {\frac {2(3+4)}{94^{0}}}=}$

9

 ${\displaystyle 20-2\left({\frac {96}{4^{2}}}\right)=}$

10

 ${\displaystyle -4+5\left({\frac {56+7}{3^{2}}}\right)-1=}$

## Section C (5 marks)

Evaluate the following expressions when ${\displaystyle w=4}$, ${\displaystyle x=5}$, ${\displaystyle y=6}$ and ${\displaystyle z=7}$.

11

 ${\displaystyle 3x+2y+z=}$

12

 ${\displaystyle {\frac {w^{2}}{y+2}}+2z=}$

13

 ${\displaystyle 2\left({\frac {x^{2}+3}{w}}\right)-(2y-z)=}$

14

 ${\displaystyle (6-3)\left({\frac {2w-x}{z-4}}\right)+(3y-4)=}$

15

 ${\displaystyle 3^{2}(2w^{0})\left({\frac {wx}{y-2}}\right)-z=}$

## Section D (6 marks)

Evaluate the value of ${\displaystyle x}$ in the following equations with the given value of ${\displaystyle y}$.

16

${\displaystyle 4x+3y=18}$ (given ${\displaystyle y=2}$)

 ${\displaystyle x=}$

17

${\displaystyle {\frac {2x}{y+1}}+4=20}$ (given ${\displaystyle y=3}$)

 ${\displaystyle x=}$

18

${\displaystyle 2\left({\frac {2x-2}{y-3}}\right)+8=6^{2}}$ (given ${\displaystyle y=7}$)

 ${\displaystyle x=}$

19

${\displaystyle 3^{3}+2^{0}+3x-2y\left({\frac {18}{2}}\right)=97}$ (given ${\displaystyle y=3}$)

 ${\displaystyle x=}$

20

${\displaystyle [5(2x-3)]^{2}=y+6}$ (given ${\displaystyle y=19}$)

 ${\displaystyle x\in \{}$ , ${\displaystyle \}}$

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