Question 4(b)

Complete the table and by inspection of the table find the solution to the equation 5t = 35.

$\begin{matrix} t & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & \dots & \dots & \dots & \dots & \dots 5 t & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \end{matrix}$

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Solution

$\begin{matrix} t & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 5 t & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 & 55 & 60 & 65 & 70 & 75 & 80 \end{matrix}$

The given equation is 5t = 35.

By analysing the table above, we can understand that only t=7 satisfies the given equation.

$∴ t = 7$ is the solution.

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Question 4(d)

Complete the table and by inspection of the table find the solution to the equation m - 7 = 3.

$\begin{matrix} m & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & \dots & \dots m - 7 & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \end{matrix}$

Question 4(c)

Complete the table and by inspection of the table find the solution to the equation $\frac{z}{3} = 4.$

$\begin{matrix} z & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & \dots & \dots & \dots & \dots \frac{z}{3} & 2 \frac{2}{3} & 3 & 3 \frac{1}{3} & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \end{matrix}$

Question 4(a)

Complete the table and by inspection of the table find the solution to the equation.

m+ 10 =16

$\begin{matrix} m & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & \dots & \dots & \dots m + 10 & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots & \dots \end{matrix}$

Complete the table and by inspection of the table find the solution to the equation.

$m + 10 = 16$

Question 9
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

$\begin{matrix} Literacy rate (in %) & 45 - 55 & 55 - 65 & 65 - 75 & 75 - 85 & 85 - 95 Number of cities & 3 & 10 & 11 & 8 & 3 \end{matrix}$

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Conversion of Statements to Linear Equations

Standard VIII Mathematics

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Question 4(b) Complete the table and by inspection of the table find the solution to the equation 5t = 35. t34567891011…⋯……⋯5t……………………………………

t3456789101112131415165t1520253035404550556065707580 The given equation is 5t = 35. By analysing the table above, we can understand that only t=7 satisfies the given equation. ∴t=7 is the solution.