maths presentation

GROUP 8 MATHS PRESENTATION

QUESTION 1

evaluate the expressions using BODMAS

Evaluate the following expressions without using calculator.

7 + 3 × 4 − (2 − 10 ÷ 5 − (6 − 3))

7 + 3 × 4 − (2 − 10 ÷ 5 − 3) 7 + 3 × 4 − (2 − 2 − 3) 7 + 3 × 4 − ( -3) 22#

QUESTION 2

Solve for 𝑥 if 2𝑥 ÷ (7 + 2𝑥) = 2.

2𝑥 = 2 (7+2𝑥) 2𝑥 = 14 + 4𝑥 2𝑥 - 4𝑥 = 14 𝑥 = 14 - 2 𝑥 = -7 #

QUESTION 3

Given 𝑓(𝑥) = 3 ÷ (𝑥 − 1), find:

ii. 𝑥 if 𝑓(𝑥) = −4

i. 𝑓(7)3

-4𝑥 = 3 ÷ (𝑥 − 1)-4𝑥 = 3 - 4

3÷(7-1) =3÷(6) =0.5#

-4𝑥 = - 1 𝑥 = - 1

= 1

-4

QUESTION 4

Find the values of 𝑥 if 2𝑥 2 + 12𝑥 + 18 = 0.

2𝒳²+12𝒳+18=02(𝒳²+6𝒳+9) =0 2(𝒳 + 3)(𝒳+3) 𝒳=-3#

QUESTION 5

Given the formula 𝑆 = 𝑃(1 + 𝑖) 𝑛 , find the value of 𝑆 if 𝑃 = 2250, 𝑖 = 0.045, and 𝑛 = 12

S=P(1+i)n² S=P(2250)(1+i(0.045)n(12) S=3815.733