- $ax = b$
- $x/a = b, a ≠ 0$
- $ax + b = c$
- $x/a + b = c, a ≠ 0$
- $ax = b + cx$
- $a(x + b) = c$
- $ax + b = cx + d$
- $a(bx + c) = d(ex + f)$
- $a/x = b, x ≠ 0$
[C, CN, PS, V]
| (a) |
Explain why the equation $a/x = b$, cannot have a solution of $x = 0$. |
| (b) |
Write a linear expression representing a given pictorial, oral, or written pattern. |
| (c) |
Write a linear equation to represent a particular situation. |
| (d) |
Observe and describe a situation relevant to self, family, or community which could be represented by a linear equation. |
| (e) |
Write a linear equation representing the pattern in a given table of values and verify the equation by substituting values from the table. |
| (f) |
Model the solution of a linear equation using concrete or pictorial representations, and explain how to record the process symbolically. |
| (g) |
Explain how the preservation of equality is involved in the solving of linear equations. |
| (h) |
Verify, by substitution, whether or not a given rational number is a solution to a given linear equation. |
| (i) |
Solve a linear equation symbolically. |
| (j) |
Analyze the given solution for a linear equation that has resulted in an incorrect solution, and identify and explain the error(s) made. |
| (k) |
Provide examples from the modern world in which linear equations are used and solved. |
