Tulis persamaan linear dalam satu pemboleh ubah bagi setiap yang berikut. Write a linear equation in one variable for each of the following.

Here are the solutions for the questions.

1. Antara berikut, manakah persamaan linear dalam dua pemboleh ubah?
Which of the following is a linear equation in two variables?

A linear equation in two variables contains two distinct variables, and each variable has a power of 1.
Let's examine the options:

• A. $2p + 4p = 9 \implies 6p = 9$. This is a linear equation in one variable ($p$).
• B. $8p = q - 10 \implies 8p - q = -10$. This equation has two variables ($p$ and $q$), and both have a power of 1. This is a linear equation in two variables.
• C. $5p^2 - q = 7$. This equation contains $p^2$, so it is not linear.
• D. $3p + 2q = 4pq$. This equation contains the product of variables $pq$, so it is not linear.

The correct option is B.

2. Bulatkan persamaan linear dalam satu pemboleh ubah pada ruang jawapan.
Circle the linear equations in one variable in the answer space.

A linear equation in one variable contains only one distinct variable, and that variable has a power of 1.
The linear equations in one variable are:

• $10 - 7x = -0.5$
• $5 + \frac{2w}{3} = 1$
• $6 + 4b = 2$
• $4h - 2 = -3h$

3. (a) Tulis persamaan linear dalam satu pemboleh ubah bagi setiap yang berikut.
Write a linear equation in one variable for each of the following.

• (i) Satu nombor ditolak dengan 6, bakinya ialah 3. Subtract 6 from a number, its remainder is 3. Let the number be $x$.

  $$x - 6 = 3$$

• (ii) Dua kali suatu nombor ditambah dengan 8, hasilnya ialah 18. Twice a number added to 8, the result is 18. Let the number be $y$.

  $$2y + 8 = 18$$